Keyword Index

A

  • Absolute value equation Smoothing the absolute value equations by the component-wise analysis [Volume 13, Issue 2, 2025, Pages 251-262]
  • Absolute value equation An iterative method based on Simpson's $3/8$ rule to solve absolute value equations [Volume 13, Issue 3, 2025, Pages 553-562]
  • ADMM A new bilevel optimization problem for the image restoration [Volume 13, Issue 3, 2025, Pages 533-552]
  • Adomian decomposition method (ADM) Atangana–Baleanu–Caputo (ABC), Caputo-Fabrizio (CF), and Caputo Fractional Derivative Approaches in Fuzzy Time Fractional Cancer Tumor Growth Models [Volume 13, Issue 3, 2025, Pages 725-746]
  • Almost periodic function A bidirectional associative memory model with almost periodic endogenous and exogenous stimuli [Volume 13, Issue 1, 2025, Pages 33-48]
  • American option pricing A study of American options under stochastic volatility and double exponential jumps [Volume 13, Issue 2, 2025, Pages 467-484]
  • Analytical representation An analytical representation of bivariate isotropic stable density [Volume 13, Issue 3, 2025, Pages 563-572]
  • Analytic function Solving a class of auto-convolution Volterra integral equations via differential transform method [Volume 13, Issue 2, 2025, Pages 485-496]
  • Artificial Neural Network (ANN) A novel leading moving average indicator using ANFIS-Wavelet hybrid method for financial market forecasting [Volume 13, Issue 4, 2025, Pages 817-830]
  • Auto-convolution Solving a class of auto-convolution Volterra integral equations via differential transform method [Volume 13, Issue 2, 2025, Pages 485-496]

B

  • BAM model A bidirectional associative memory model with almost periodic endogenous and exogenous stimuli [Volume 13, Issue 1, 2025, Pages 33-48]
  • Bayes error rate Is evaluation based on accuracy of classification algorithms misleading? An approach to model validation using Bayes error rate [Volume 13, Issue 4, 2025, Pages 917-927]
  • Bilevel A new bilevel optimization problem for the image restoration [Volume 13, Issue 3, 2025, Pages 533-552]
  • Bivariate isotropic stable density An analytical representation of bivariate isotropic stable density [Volume 13, Issue 3, 2025, Pages 563-572]
  • Blow up Blow-up phenomena for a couple of parabolic equations with memory and source terms: Analytical and simulation [Volume 13, Issue 1, 2025, Pages 1-16]
  • Boundary turning point problem Comparative study of numerical methods for singularly perturbed boundary turning point problems with mixed boundary conditions [Volume 13, Issue 3, 2025, Pages 609-628]
  • Boundary turning points Non-standard finite-difference scheme for singularly perturbed parabolic convection-diffusion problem with boundary turning points [Volume 13, Issue 1, 2025, Pages 85-103]
  • Breather Wave Lump wave dynamics and interaction analysis for an extended (2+1)-dimensional Kadomtsev-Petviashvili equation [Volume 13, Issue 1, 2025, Pages 17-32]

C

  • Caputo derivative A novel fractional Bernoulli-Picard iteration method to solve fractional differential equations [Volume 13, Issue 1, 2025, Pages 139-152]
  • Caputo derivative An approximation technique for a system of time-fractional differential equations arising in population dynamics [Volume 13, Issue 3, 2025, Pages 519-531]
  • Cauchy integral equation Legendre-collocation method to solve the second kind Cauchy integral equations [Volume 13, Issue 1, 2025, Pages 209-218]
  • Central-difference Layer-resolving mesh method for convection-diffusion delay problems with boundary turning points [Volume 13, Issue 4, 2025, Pages 943-966]
  • Characteristic function An analytical representation of bivariate isotropic stable density [Volume 13, Issue 3, 2025, Pages 563-572]
  • Classification Is evaluation based on accuracy of classification algorithms misleading? An approach to model validation using Bayes error rate [Volume 13, Issue 4, 2025, Pages 917-927]
  • Classification Dimension reduction by identifying and removing redundant variables using copula function [Volume 13, Issue 4, 2025, Pages 803-815]
  • Clustering Accelerated DBSCAN via parallel, density-aware multi-objective genetic optimization [Volume 13, Issue 4, 2025, Pages 851-864]
  • Consistency Numerical study of a two-dimensional eco-epidemiological model with diffusion and convex incidence rate: Unconditionally positivity preserving method [Volume 13, Issue 4, 2025, Pages 983-1005]
  • Constrained optimization A novel class of exact penalty function approach for optimization problems with inequality constraints [Volume 13, Issue 1, 2025, Pages 153-167]
  • Convex incidence rate Numerical study of a two-dimensional eco-epidemiological model with diffusion and convex incidence rate: Unconditionally positivity preserving method [Volume 13, Issue 4, 2025, Pages 983-1005]

D

  • Data envelopment analysis Evaluation of decision-making units using directional distance function with weak disposability in the presence of undesirable outputs [Volume 13, Issue 3, 2025, Pages 705-724]
  • DBSCAN Accelerated DBSCAN via parallel, density-aware multi-objective genetic optimization [Volume 13, Issue 4, 2025, Pages 851-864]
  • Differential equation Nonlocal Caputo generalized proportional fractional integro-differential systems: an existence study [Volume 13, Issue 2, 2025, Pages 375-391]
  • Differential equation Analytical investigation of fractional SEIRVQD measles mathematical model [Volume 13, Issue 2, 2025, Pages 393-413]
  • Differential transform method Solving a class of auto-convolution Volterra integral equations via differential transform method [Volume 13, Issue 2, 2025, Pages 485-496]
  • Direct optimization method Balancing efficiency and shortage costs: optimal production and inventory control in a distribution network [Volume 13, Issue 2, 2025, Pages 327-339]
  • Distributed-order Generalized distributed-order fractional optimal control problem using Laguerre wavelet method [Volume 13, Issue 4, 2025, Pages 747-765]
  • Duhamel's formula Exponential decay for a general class of nonautonomous abstract semilinear evolution equations with time-varying delay feedback [Volume 13, Issue 2, 2025, Pages 235-249]
  • Dulac's criterion Analysis of a May-Holling-Tanner rate-dependent predator-prey model with an alternative food source for the predator with a weak Allee effect for the prey [Volume 13, Issue 2, 2025, Pages 302-325]
  • Dynamic programming Portfolio optimization under regime-switching with market path-dependent returns [Volume 13, Issue 3, 2025, Pages 497-518]

E

  • Eco-epidemiological model Numerical study of a two-dimensional eco-epidemiological model with diffusion and convex incidence rate: Unconditionally positivity preserving method [Volume 13, Issue 4, 2025, Pages 983-1005]
  • Efficiency Evaluation of decision-making units using directional distance function with weak disposability in the presence of undesirable outputs [Volume 13, Issue 3, 2025, Pages 705-724]
  • Epidemic model Analytical investigation of fractional SEIRVQD measles mathematical model [Volume 13, Issue 2, 2025, Pages 393-413]
  • Equilibrium problem An improved inertial subgradient extragradient algorithm for pseudomonotone equilibrium problems and its applications [Volume 13, Issue 2, 2025, Pages 263-280]
  • Evaluation Is evaluation based on accuracy of classification algorithms misleading? An approach to model validation using Bayes error rate [Volume 13, Issue 4, 2025, Pages 917-927]
  • Exact penalty function A novel class of exact penalty function approach for optimization problems with inequality constraints [Volume 13, Issue 1, 2025, Pages 153-167]
  • Exponential stability Stability of the Kawahara equation with time-varying delay [Volume 13, Issue 2, 2025, Pages 429-443]

F

  • Feature cost Feature selection via mixed-integer program and supervised infinite feature selection method [Volume 13, Issue 2, 2025, Pages 341-356]
  • Feature Selection Feature selection via mixed-integer program and supervised infinite feature selection method [Volume 13, Issue 2, 2025, Pages 341-356]
  • Feature selection problem Application of fixed structure learning automata for designing intrusion detection systems [Volume 13, Issue 4, 2025, Pages 831-850]
  • Finite element Finite element approximation of coupled Cahn-Hilliard equations with a logarithmic potential and nondegenerate mobility [Volume 13, Issue 1, 2025, Pages 33-48]
  • Fixed point theorem Nonlocal Caputo generalized proportional fractional integro-differential systems: an existence study [Volume 13, Issue 2, 2025, Pages 375-391]
  • Fixed structure learning automata Application of fixed structure learning automata for designing intrusion detection systems [Volume 13, Issue 4, 2025, Pages 831-850]
  • Fractal calculus Fractal complex analysis [Volume 13, Issue 3, 2025, Pages 695-704]
  • Fractional Brownian motion A study of American options under stochastic volatility and double exponential jumps [Volume 13, Issue 2, 2025, Pages 467-484]
  • Fractional differential equations A novel fractional Bernoulli-Picard iteration method to solve fractional differential equations [Volume 13, Issue 1, 2025, Pages 139-152]
  • Fractional diffusion equation (FDE), Riesz derivative, Caputo derivative On Galerkin spectral element method for solving Riesz fractional diffusion equation based on Legendre polynomials [Volume 13, Issue 2, 2025, Pages 281-301]
  • Fredholm integral Non-standard finite difference scheme for system of singularly perturbed Fredholm integro-differential equations [Volume 13, Issue 4, 2025, Pages 865-882]
  • Fredholm integral equation Non-classical sinc collocation method for approximating Hallen's integral equation [Volume 13, Issue 3, 2025, Pages 593-608]

G

  • Gaussian copula function (normal) Dimension reduction by identifying and removing redundant variables using copula function [Volume 13, Issue 4, 2025, Pages 803-815]
  • Generalized krasovskii Analysis of a May-Holling-Tanner rate-dependent predator-prey model with an alternative food source for the predator with a weak Allee effect for the prey [Volume 13, Issue 2, 2025, Pages 302-325]
  • Generalized projection algorithms Iterative identification algorithm for tumor model using controlled ARMA model [Volume 13, Issue 1, 2025, Pages 69-83]
  • Genetic Algorithm Accelerated DBSCAN via parallel, density-aware multi-objective genetic optimization [Volume 13, Issue 4, 2025, Pages 851-864]

H

  • Hallen’s integral equations Non-classical sinc collocation method for approximating Hallen's integral equation [Volume 13, Issue 3, 2025, Pages 593-608]
  • Hirota Bilinear Lump wave dynamics and interaction analysis for an extended (2+1)-dimensional Kadomtsev-Petviashvili equation [Volume 13, Issue 1, 2025, Pages 17-32]
  • Holder solution On the regularity theory for quasilinear elliptic systems with the application of Leray-Schauder method [Volume 13, Issue 1, 2025, Pages 169-182]

I

  • Image authentication A prototype model for image authentication, tamper localization and image restoration [Volume 13, Issue 4, 2025, Pages 899-916]
  • Image deblurring An iterative method for solving the generalized total least squares problem [Volume 13, Issue 3, 2025, Pages 573-592]
  • Image Denoising A new bilevel optimization problem for the image restoration [Volume 13, Issue 3, 2025, Pages 533-552]
  • Inertial method An improved inertial subgradient extragradient algorithm for pseudomonotone equilibrium problems and its applications [Volume 13, Issue 2, 2025, Pages 263-280]
  • Infinite feature selection method Feature selection via mixed-integer program and supervised infinite feature selection method [Volume 13, Issue 2, 2025, Pages 341-356]
  • Inventory Balancing efficiency and shortage costs: optimal production and inventory control in a distribution network [Volume 13, Issue 2, 2025, Pages 327-339]
  • Inverse problem On recovering space-dependent source term in a degenerate nonlocal parabolic equation [Volume 13, Issue 3, 2025, Pages 645-662]

L

  • L1 scheme An approximation technique for a system of time-fractional differential equations arising in population dynamics [Volume 13, Issue 3, 2025, Pages 519-531]
  • Laguerre Generalized distributed-order fractional optimal control problem using Laguerre wavelet method [Volume 13, Issue 4, 2025, Pages 747-765]
  • LaSalle Analysis of a May-Holling-Tanner rate-dependent predator-prey model with an alternative food source for the predator with a weak Allee effect for the prey [Volume 13, Issue 2, 2025, Pages 302-325]
  • Layer resolving mesh Layer-resolving mesh method for convection-diffusion delay problems with boundary turning points [Volume 13, Issue 4, 2025, Pages 943-966]
  • Least squares problem An iterative method for solving the generalized total least squares problem [Volume 13, Issue 3, 2025, Pages 573-592]
  • Legendre polynomials Legendre-collocation method to solve the second kind Cauchy integral equations [Volume 13, Issue 1, 2025, Pages 209-218]
  • Leray-Schauder theorem On the regularity theory for quasilinear elliptic systems with the application of Leray-Schauder method [Volume 13, Issue 1, 2025, Pages 169-182]
  • Lipschitz continuous Exponential decay for a general class of nonautonomous abstract semilinear evolution equations with time-varying delay feedback [Volume 13, Issue 2, 2025, Pages 235-249]
  • Lower bound for the radius Lower bounds of spatial analyticity radius for Benjamin-Bona-Mahony equation on the circle [Volume 13, Issue 1, 2025, Pages 201-208]
  • Lump Wave Lump wave dynamics and interaction analysis for an extended (2+1)-dimensional Kadomtsev-Petviashvili equation [Volume 13, Issue 1, 2025, Pages 17-32]
  • Lyapunov functional Stability of the Kawahara equation with time-varying delay [Volume 13, Issue 2, 2025, Pages 429-443]
  • Lyapunov stability Analytical investigation of fractional SEIRVQD measles mathematical model [Volume 13, Issue 2, 2025, Pages 393-413]

M

  • M$\rm{\ddot{u}}$ntz-Legendre polynomials A novel and efficient operational matrix method for solving multi-term variable-order fractional differential equations [Volume 13, Issue 3, 2025, Pages 629-644]
  • Machine learning Accelerated DBSCAN via parallel, density-aware multi-objective genetic optimization [Volume 13, Issue 4, 2025, Pages 851-864]
  • Mathematical Ecology Analysis of a May-Holling-Tanner rate-dependent predator-prey model with an alternative food source for the predator with a weak Allee effect for the prey [Volume 13, Issue 2, 2025, Pages 302-325]
  • MEMS/NEMS actuators Optimal third-kind Chebyshev collocation algorithm for solving beam-type micro- and nanoscale BVPs [Volume 13, Issue 4, 2025, Pages 883-898]
  • Minimum undesirable outputs Evaluation of decision-making units using directional distance function with weak disposability in the presence of undesirable outputs [Volume 13, Issue 3, 2025, Pages 705-724]
  • Mixed integer linear program Feature selection via mixed-integer program and supervised infinite feature selection method [Volume 13, Issue 2, 2025, Pages 341-356]
  • Modified Gevrey spaces Lower bounds of spatial analyticity radius for Benjamin-Bona-Mahony equation on the circle [Volume 13, Issue 1, 2025, Pages 201-208]
  • Multi-group SEIR model Dynamical behavior of a multi-group stochastic SEIR system with symptomatic and asymptomatic individuals [Volume 13, Issue 4, 2025, Pages 767-786]
  • Multiobjective optimization problem‎ Improved feasible value constraint for multiobjective optimization problems [Volume 13, Issue 1, 2025, Pages 105-120]
  • Multi-term variable-order fractional differential equations A novel and efficient operational matrix method for solving multi-term variable-order fractional differential equations [Volume 13, Issue 3, 2025, Pages 629-644]

N

  • Network production control Balancing efficiency and shortage costs: optimal production and inventory control in a distribution network [Volume 13, Issue 2, 2025, Pages 327-339]
  • Non-classical sinc Non-classical sinc collocation method for approximating Hallen's integral equation [Volume 13, Issue 3, 2025, Pages 593-608]
  • Nonlinear boundary value problems Optimal third-kind Chebyshev collocation algorithm for solving beam-type micro- and nanoscale BVPs [Volume 13, Issue 4, 2025, Pages 883-898]
  • Nonlinear demand Balancing efficiency and shortage costs: optimal production and inventory control in a distribution network [Volume 13, Issue 2, 2025, Pages 327-339]
  • Nonlinear Schrödinger Systems On the existence of non-radial normalized solutions for coupled fractional nonlinear Schrödinger systems with potential [Volume 13, Issue 2, 2025, Pages 357-373]
  • Non-standard finite difference scheme Non-standard finite-difference scheme for singularly perturbed parabolic convection-diffusion problem with boundary turning points [Volume 13, Issue 1, 2025, Pages 85-103]
  • Numerical computation An analytical representation of bivariate isotropic stable density [Volume 13, Issue 3, 2025, Pages 563-572]
  • Numerical solution A novel fractional Bernoulli-Picard iteration method to solve fractional differential equations [Volume 13, Issue 1, 2025, Pages 139-152]

O

  • Obstacle problem, variational inequality Numerical solution of obstacle problem by using the mesh-free radial point interpolation method [Volume 13, Issue 4, 2025, Pages 929-942]
  • Optimization Finite-capacity $M/M/2$ machine repair model with impatient customers, triadic discipline, and two working vacation policies [Volume 13, Issue 1, 2025]
  • Optimization A new bilevel optimization problem for the image restoration [Volume 13, Issue 3, 2025, Pages 533-552]
  • Optimization Modeling and optimization of the number of graduates in a multi-specialization study program [Volume 13, Issue 4, 2025, Pages 967-982]
  • Orthonormal Bernoulli polynomials A novel fractional Bernoulli-Picard iteration method to solve fractional differential equations [Volume 13, Issue 1, 2025, Pages 139-152]

P

  • Packing A polynomial mixed-integer linear programming model for two-dimensional guillotine strip packing problem [Volume 13, Issue 2, 2025, Pages 415-428]
  • Parameter uniform Layer-resolving mesh method for convection-diffusion delay problems with boundary turning points [Volume 13, Issue 4, 2025, Pages 943-966]
  • Parkinson’s Disease Dimension reduction by identifying and removing redundant variables using copula function [Volume 13, Issue 4, 2025, Pages 803-815]
  • PDE's A new bilevel optimization problem for the image restoration [Volume 13, Issue 3, 2025, Pages 533-552]
  • Periodic BBMy Equation Lower bounds of spatial analyticity radius for Benjamin-Bona-Mahony equation on the circle [Volume 13, Issue 1, 2025, Pages 201-208]
  • Picard iteration method A novel fractional Bernoulli-Picard iteration method to solve fractional differential equations [Volume 13, Issue 1, 2025, Pages 139-152]
  • Portfolio optimization Portfolio optimization under regime-switching with market path-dependent returns [Volume 13, Issue 3, 2025, Pages 497-518]
  • Principal component analysis method (PCA) Dimension reduction by identifying and removing redundant variables using copula function [Volume 13, Issue 4, 2025, Pages 803-815]
  • Pseudospectral method Balancing efficiency and shortage costs: optimal production and inventory control in a distribution network [Volume 13, Issue 2, 2025, Pages 327-339]

Q

  • Quasilinear Partial Differential Equation On the regularity theory for quasilinear elliptic systems with the application of Leray-Schauder method [Volume 13, Issue 1, 2025, Pages 169-182]
  • Queueing system Finite-capacity $M/M/2$ machine repair model with impatient customers, triadic discipline, and two working vacation policies [Volume 13, Issue 1, 2025]

R

  • Radius of analyticity of solutions Lower bounds of spatial analyticity radius for Benjamin-Bona-Mahony equation on the circle [Volume 13, Issue 1, 2025, Pages 201-208]
  • Random fixed point A study on the existence results for neutral functional random integro-differential equations with infinite delay [Volume 13, Issue 3, 2025, Pages 675-693]
  • Richardson extrapolation Non-standard finite-difference scheme for singularly perturbed parabolic convection-diffusion problem with boundary turning points [Volume 13, Issue 1, 2025, Pages 85-103]

S

  • Semi-discrete Finite element approximation of coupled Cahn-Hilliard equations with a logarithmic potential and nondegenerate mobility [Volume 13, Issue 1, 2025, Pages 33-48]
  • Semilinear parabolic equation Blow-up phenomena for a couple of parabolic equations with memory and source terms: Analytical and simulation [Volume 13, Issue 1, 2025, Pages 1-16]
  • Simpson rule An iterative method based on Simpson's $3/8$ rule to solve absolute value equations [Volume 13, Issue 3, 2025, Pages 553-562]
  • Singularly perturbed Non-standard finite-difference scheme for singularly perturbed parabolic convection-diffusion problem with boundary turning points [Volume 13, Issue 1, 2025, Pages 85-103]
  • Singularly perturbed Layer-resolving mesh method for convection-diffusion delay problems with boundary turning points [Volume 13, Issue 4, 2025, Pages 943-966]
  • Singular perturbation Non-standard finite difference scheme for system of singularly perturbed Fredholm integro-differential equations [Volume 13, Issue 4, 2025, Pages 865-882]
  • Smoothing technique A novel class of exact penalty function approach for optimization problems with inequality constraints [Volume 13, Issue 1, 2025, Pages 153-167]
  • Specialization Modeling and optimization of the number of graduates in a multi-specialization study program [Volume 13, Issue 4, 2025, Pages 967-982]
  • Stability A three-layered compartmental model of Nipah virus transmission with analysis [Volume 13, Issue 2, 2025, Pages 445-466]
  • Stability On recovering space-dependent source term in a degenerate nonlocal parabolic equation [Volume 13, Issue 3, 2025, Pages 645-662]
  • Stability Numerical study of a two-dimensional eco-epidemiological model with diffusion and convex incidence rate: Unconditionally positivity preserving method [Volume 13, Issue 4, 2025, Pages 983-1005]
  • Strong Convergence An improved inertial subgradient extragradient algorithm for pseudomonotone equilibrium problems and its applications [Volume 13, Issue 2, 2025, Pages 263-280]
  • Subgradient extragradient method An improved inertial subgradient extragradient algorithm for pseudomonotone equilibrium problems and its applications [Volume 13, Issue 2, 2025, Pages 263-280]
  • Sumudu transformation (ST) Atangana–Baleanu–Caputo (ABC), Caputo-Fabrizio (CF), and Caputo Fractional Derivative Approaches in Fuzzy Time Fractional Cancer Tumor Growth Models [Volume 13, Issue 3, 2025, Pages 725-746]
  • System identification Iterative identification algorithm for tumor model using controlled ARMA model [Volume 13, Issue 1, 2025, Pages 69-83]
  • System of fractional model An approximation technique for a system of time-fractional differential equations arising in population dynamics [Volume 13, Issue 3, 2025, Pages 519-531]

T

  • Taylor series expansion An iterative method for solving the generalized total least squares problem [Volume 13, Issue 3, 2025, Pages 573-592]
  • Third-kind Chebyshev polynomials Optimal third-kind Chebyshev collocation algorithm for solving beam-type micro- and nanoscale BVPs [Volume 13, Issue 4, 2025, Pages 883-898]
  • Three-layered compartmental model A three-layered compartmental model of Nipah virus transmission with analysis [Volume 13, Issue 2, 2025, Pages 445-466]
  • Time series A novel leading moving average indicator using ANFIS-Wavelet hybrid method for financial market forecasting [Volume 13, Issue 4, 2025, Pages 817-830]
  • Traub's method Smoothing the absolute value equations by the component-wise analysis [Volume 13, Issue 2, 2025, Pages 251-262]

U

  • Ulam-Hyer stability Analytical investigation of fractional SEIRVQD measles mathematical model [Volume 13, Issue 2, 2025, Pages 393-413]
  • Unconditionally positivity preserving method Numerical study of a two-dimensional eco-epidemiological model with diffusion and convex incidence rate: Unconditionally positivity preserving method [Volume 13, Issue 4, 2025, Pages 983-1005]
  • Unconstrained optimization Incorporating non-monotone trust region algorithm with line search method for unconstrained optimization [Volume 13, Issue 1, 2025, Pages 219-233]
  • Unsupervised learning Accelerated DBSCAN via parallel, density-aware multi-objective genetic optimization [Volume 13, Issue 4, 2025, Pages 851-864]

V

  • Vehicle routing problem A mixed integer linear programming model for vehicle routing problem for non-complete graphs: Behshahr (Iran) case study [Volume 13, Issue 4, 2025, Pages 787-801]
  • Volterra integral equations Solving a class of auto-convolution Volterra integral equations via differential transform method [Volume 13, Issue 2, 2025, Pages 485-496]

W

  • Wavelet Transform A novel leading moving average indicator using ANFIS-Wavelet hybrid method for financial market forecasting [Volume 13, Issue 4, 2025, Pages 817-830]
  • Weak Allee Efect Analysis of a May-Holling-Tanner rate-dependent predator-prey model with an alternative food source for the predator with a weak Allee effect for the prey [Volume 13, Issue 2, 2025, Pages 302-325]
  • Weak disposability Evaluation of decision-making units using directional distance function with weak disposability in the presence of undesirable outputs [Volume 13, Issue 3, 2025, Pages 705-724]