[1] T. Allahviranloo, A. Jafarian, R. Saneifard, N. Ghalami, S. Measoomy Nia, F. Kiani, U. Fernandez-
Gamiz, S. Noeiaghdam, An application of artificial neural networks for solving fractional higher-
order linear integro-differential equations, Bound. Val. Prob. 2023 (2023) 74.
[2] S. Baghli, M. Benchohra, Existence results for semilinear neutral functional differential equations
involving evolution operators in Frechet spaces, Georgian Math. J. 17 (2010) 423–436.
[3] K. Balachandran, D.G. Park, S.M. Anthoni, Existence of solutions of abstract nonlinear second
order neutral functional integro-differential equations, Comput. Math. Appl. 46 (2003) 1313–1324.
[4] A. Benarab, I. Boussaada, K. Trabelsi, C. Bonnet, Multiplicity induced dominancy property for
second order neutral differential equations with application in oscillation damping, Eur. J. Control
69 (2023) 100721.
[5] J. Bochenek, An abstract nonlinear second order differential equation, Ann. Pol. Math. 54 (1991)
155–166.
[6] J.P. Dauer, K. Balachandran, Existence of solutions of nonlinear neutral integrodifferential equa-
tions in Banach spaces, J. Math. Anal. Appl. 251 (2000) 93–105.
[7] B.C. Dhage, S.K. Ntouyas, Existence and attractivity results for nonlinear first order random dif-
ferential equations, Opuscula Math. 30 (2010) 411–429.
[8] M.B. Dhakne, K.D. Kucche, Global existence for abstract nonlinear Volterra Fredholm functional
integro differential equation, Opuscula Math. 45 (2012) 117–127.
[9] Q. Dong, Z. Fan, G. Li, Existence of solutions to nonlocal neutral functional differential and inte-
grodifferential equations, Int. J. Nonlinear Sci. 5 (2008) 140–151.
[10] H.W. Engl, A general stochastic fixed-point theorem for continuous random operators on stochastic
domains, J. Math. Anal. Appl. 66 (1978) 220–231.
[11] T. Gunasekar, J. Thiravidarani, M. Mahdal, P. Raghavendran, A. Venkatesan, M. Elangovan, Study
of non-linear impulsive neutral fuzzy delay differential equations with non-local conditions, Math-
ematics 11 (2023) 3734.
[12] J. Hale, J. Kato, Phase space for retarded equations with infinite delay, Funk. Ekv. 21 (1978) 11–41.
[13] Y. Hino, S. Murakami, T. Naito, Functional Differential Equations with Unbounded Delay, Berlin:
Springer-Verlag, 1991.
[14] L. Lyu, Z. Zhang, M. Chen, J. Chen, MIM: A deep mixed residual method for solving high-order
partial differential equations, J. Comput. Phys. 452 (2022)110930.
[15] S. Madhumitha, T. Gunasekar, A. Alsinai, P. Raghavendran, R.S.A. Qahtan, Existence and control-
lability for second-order functional differential equations with infinite delay and random effects,
Int. J. Differ. Equ. 2024 (2024) 1–9.
[16] S. Noeiaghdam, Numerical solution of N-Th order Fredholm integro-differential equations by inte-
gral mean value theorem method, Intern. J. Pure Appl. Math. 99 (2015) 277–287.
[17] B.G. Pachpatte.,Integral and Finite Difference Inequalities and Applications, North-holland Math-
ematics Studies, Vol. 205 Elsevier Science B.V., Amsterdam, 2006.
[18] M. Pavlackova, V. Taddei Mild solutions of second order semilinear impulsive differential inclu-
sions in Banach spaces, Mathematics 10 (2022) 672.
[19] P. Raghavendran, Th. Gunasekar, H. Balasundaram , Sh. S. Santra, D. Majumder, D. Baleanu,
Solving fractional integro-differential equations by Aboodh transform, J. Math. Comput. Sci-JM 32
(2024) 229–240.
[20] P. Raghavendran, T. Gunasekar, S. S. Santra, D. Baleanu, D. Majumder, Analytical study of ex-
istence, uniqueness, and stability in impulsive neutral fractional Volterra-Fredholm equations, J.
Math. Comput. Sci. 38 (2025) 313–329.
[21] P. Raghavendran, T. Gunasekar, J. Ahmad, W. Emam, A study on the existence, uniqueness, and
stability of fractional neutral Volterra-Fredholm integro-differential equations with state-dependent
delay, Fractal Fract. 9 (2025) 20 .
[22] M.L. Suresh, T. Gunasekar, F.P. Samuel, Existence results for nonlocal impulsive neutral functional
integro-differential equations, Intern. J. Pure Appl. Math. 116 (2017) 337–345.
[23] Y. Talaei, S. Noeiaghdam, H. Hosseinzadeh, Numerical solution of fractional order Fredholm
integro-differential equations by spectral method with fractional basis functions, Bull. Irkutsk State
Univ. Ser. Math. 45 (2023) 89–103.
[24] C.C. Travis, G.F. Webb, Compactness, regularity and uniform continuity properties of strongly
continuous cosine families, Houston J. Math. 3 (1978) 555–567.
[25] C.C. Travis, G.F. Webb., Cosine families and abstract nonlinear second order differential equa-
tions, Acta Math. Acad. Sci. Hungar. 32 (1978) 75–96.
[26] C. Tun, F.T. Akyildiz, Improved stability and instability results for neutral integro-differential equa-
tions including infinite delay, J. Math. 1 (2024), 5924082.
[27] O. Tun, C. Tun, Ulam stabilities of nonlinear iterative integro-differential equations,Rev. Real
Acad. Cienc. 117 (2023) 118.
[28] R. Ye, Q. Dong, G. Li, Existence of solutions for double perturbed neutral functional evolution
equation, Int. J. Nonlinear Sci. 8 (2009) 360–367.
)