[HTML][HTML] Application of an efficient analytical technique based on Aboodh transformation to solve linear and non-linear dynamical systems of integro-differential …

Q Khan, A Suen, H Khan - Partial Differential Equations in Applied …, 2024 - Elsevier
In literature, it is usually very difficult to investigate the analytical and numerical solutions of
fractional integro-differential equations (FIDEs). In the current work, the solutions to linear …

A numerical study of nonlinear fractional order partial integro-differential equation with a weakly singular kernel

T Akram, Z Ali, F Rabiei, K Shah, P Kumam - Fractal and Fractional, 2021 - mdpi.com
Fractional differential equations can present the physical pathways with the storage and
inherited properties due to the memory factor of fractional order. The purpose of this work is …

Finite element method for fractional parabolic integro-differential equations with smooth and nonsmooth initial data

S Mahata, RK Sinha - Journal of Scientific Computing, 2021 - Springer
We study the space-time finite element discretizations for time fractional parabolic integro-
differential equations in a bounded convex polygonal domain in R^ d (d= 1, 2, 3) R d (d= 1 …

LADM procedure to find the analytical solutions of the nonlinear fractional dynamics of partial integro-differential equations

Q Khan, H Khan, P Kumam, F Tchier… - Demonstratio …, 2024 - degruyter.com
Generally, fractional partial integro-differential equations (FPIDEs) play a vital role in
modeling various complex phenomena. Because of the several applications of FPIDEs in …

Survey of Numerical Analysis for Fractional Integro-Differential Equations

MM Hamood, KP Ghadle - Discontinuity, Nonlinearity …, 2025 - lhscientificpublishing.com
As a result of the study carried out over the previous three decades, fractional calculus has
become much more essential due to its broad use in science and engineering. Fractional …

[PDF][PDF] A Numerical Study of Nonlinear Fractional Order Partial Integro-Differential Equation with a Weakly Singular Kernel. Fractal Fract. 2021, 5, 85

T Akram, Z Ali, F Rabiei, K Shah, P Kumam - 2021 - researchgate.net
Fractional differential equations can present the physical pathways with the storage and
inherited properties due to the memory factor of fractional order. The purpose of this work is …