Journal of Mathematical Modeling

Main Subjects = Fractional

Fractional-order modeling and numerical simulation of diphtheria transmission in Rohingya refugee settlements using the fractional Adams-Bashforth-Moulton method

Articles in Press, Corrected Proof, Available Online from 01 February 2026

10.22124/jmm.2026.31992.2892

Md Nurul Raihen; Md Abdul Kadir; Vinodh Chellamuthu; Mansoor Alsulami

Convergence and stability analysis of fractional integral residual minimization method for fractional differential equations and system of fractional differential equations

Articles in Press, Corrected Proof, Available Online from 24 February 2026

10.22124/jmm.2026.31926.2881

Syed Bahurudeen Riyasdeen; Ayyadurai Tamilselvan; Sekar Elango

Determination of control parameter in an inverse time fractional‎ ‎diffusion equation using a linearized fourth-order finite difference scheme

Articles in Press, Corrected Proof, Available Online from 13 April 2026

10.22124/jmm.2026.32796.2986

Akbar Mohebbi; Behnam Salahi

An investigation on transmission and control of fractional-order hepatitis B model

Articles in Press, Corrected Proof, Available Online from 13 April 2026

10.22124/jmm.2026.31885.2878

Deepak -; Lokesh Kumar Yadav; Murli Manohar Gour; Sunil Dutt Purohit

Solution of time fractional Black-Scholes PDE using fractional order generalized Chelyshkov wavelets

Articles in Press, Corrected Proof, Available Online from 03 May 2026

10.22124/jmm.2026.32461.2944

Sufia Sabir; Ayaz Ahmad

A computational framework for fractional integro-differential equations involving mixed integral terms

Articles in Press, Corrected Proof, Available Online from 15 May 2026

10.22124/jmm.2026.32894.2993

Siba Prasad Mohapatra; Anasuya Nath

A spectral collocation framework for fractional ODEs with nonlocal boundary conditions

Articles in Press, Corrected Proof, Available Online from 19 July 2026

10.22124/jmm.2026.33316.3040

Mohammad Saleh Hadi; Mehrdad Lakestani; Behzad Nemati Saray

Numerical simulation of nonlinear Galilei invariant advection–diffusion equations via fractal–fractional operators

Articles in Press, Corrected Proof, Available Online from 31 July 2026

10.22124/jmm.2026.32909.2994

Parisa Rahimkhani; Sedigheh Sabermahani; Thabet Abdeljawad

Modeling and analysis of deforestation and pollution dynamics induced by industrialization using the fractal-fractional Atangana-Baleanu derivative

Volume 14, Issue 2, May 2026, Pages 407-430

10.22124/jmm.2025.31414.2822

Nobin Daimary; Ranu Paul

The method based on quintic B-spline functions for addressing time-fractional advection-dispersion equations

Volume 14, Issue 2, May 2026, Pages 533-556

10.22124/jmm.2025.31501.2833

Mohamed Adel; Somayieh Abdi-mazraeh; Golamreza Zaki; Safar Irandust-Pakchin

Dual analysis of myocardial infarction using fractional mathematical modeling and machine learning

Volume 14, Issue 2, May 2026, Pages 699-722

10.22124/jmm.2025.31534.2837

Tharmalingam Gunasekar; Sumaiya Banu; Shyam Sundar Santra; Dumitru Baleanu

Novel Legendre-Jaiswal functions for solving time-space fractional partial differential equations

Volume 14, Issue 2, May 2026, Pages 761-786

10.22124/jmm.2025.31438.2827

Santoshi Tarei; Ankur Kanaujiya

Enhancing implied volatility forecasting: multi-model approaches for the S\&P500 index

Volume 14, Issue 1, March 2026, Pages 75-91

10.22124/jmm.2025.29881.2667

Navideh Modarresi; Reza Kazemi; Alireza Mousavi

Numerical solution of the time fractional nonlinear burgers equation using the quintic B-Spline method

Volume 14, Issue 1, March 2026, Pages 253-271

10.22124/jmm.2025.31069.2784

Fahad Kamil Nashmi; Bushra Aziz Taha

Generalized distributed-order fractional optimal control problem using Laguerre wavelet method

Volume 13, Issue 4, December 2025, Pages 747-765

10.22124/jmm.2025.29900.2669

Gunjan Dewangan; Akanksha Singh; Ankur Kanaujiya

An approximation technique for a system of time-fractional differential equations arising in population dynamics

Volume 13, Issue 3, July 2025, Pages 519-531

10.22124/jmm.2025.28718.2548

Jugal Mohapatra; Siba Prasad Mohapatra; Anasuya Nath

A novel and efficient operational matrix method for solving multi-term variable-order fractional differential equations

Volume 13, Issue 3, July 2025, Pages 629-644

10.22124/jmm.2025.29744.2655

Tahereh Eftekhari; ‎Jalil Rashidinia

Atangana–Baleanu–Caputo (ABC), Caputo-Fabrizio (CF), and Caputo fractional derivative approaches in fuzzy time fractional cancer tumor growth models

Volume 13, Issue 3, July 2025, Pages 725-746

10.22124/jmm.2025.29638.2640

Amandeep Singh; Sarita Pippal; Jasmine Sati

On Galerkin spectral element method for solving Riesz fractional diffusion equation based on Legendre polynomials

Volume 13, Issue 2, May 2025, Pages 281-301

10.22124/jmm.2024.28392.2507

Mouhssine Zakaria; Abdelaziz Moujahid

Nonlocal Caputo generalized proportional fractional integro-differential systems: an existence study

Volume 13, Issue 2, May 2025, Pages 375-391

10.22124/jmm.2024.29126.2594

Samira Zerbib; Khalid Hilal; Ahmed Kajouni

Unconditionally stable finite element method for the variable-order fractional Schrödinger equation with Mittag-Leffler kernel

Volume 12, Issue 3, September 2024, Pages 533-550

10.22124/jmm.2024.27385.2413

Gholamreza Karamali; Hadi Mohammadi-Firouzjaei

A novel fitted numerical scheme for time-fractional singularly perturbed convection-diffusion problems with a delay in time via cubic $B$-spline approach

Volume 12, Issue 2, July 2024, Pages 215-231

10.22124/jmm.2023.25969.2303

Worku Tilahun Aniley; Gemechis File Duressa

On the blow up of solutions for hyperbolic equation involving the fractional Laplacian with source terms

Volume 12, Issue 2, July 2024, Pages 267-276

10.22124/jmm.2023.25236.2241

Abir Bounaama; Messaoud Maouni; Fatima Zohra Zeghbib

A novel implementation of fixed-point theorems for high-order Hadamard fractional differential equations with multi-point integral boundary conditions

Volume 11, Issue 4, December 2023, Pages 767-782

10.22124/jmm.2023.24189.2161

Abdelatif Boutiara

Stability analysis of fractional-order predator-prey model with anti-predator behaviour and prey refuge

Volume 11, Issue 3, October 2023, Pages 527-546

10.22124/jmm.2023.23604.2107

Subramaniyam Karthikeyan; Perumal Ramesh; Muniyagounder Sambath

Journal Archive

Volume 14 (2026)

Volume 13 (2025)

Volume 12 (2024)

Volume 11 (2023)

Volume 10 (2022)

Volume 9 (2021)

Volume 8 (2020)

Volume 7 (2019)

Volume 6 (2018)

Volume 5 (2017)

Volume 4 (2016)

Volume 3 (2015)

Volume 2 (2014)

Volume 1 (2013)