In this study, a system of coupled distributed-order fractional Klein–Gordon–Schrödinger
equations is introduced. The distributed-order fractional derivative is generated based on …

This manuscript investigates the existence, uniqueness and Ulam–Hyers stability (UH) of
solution to fractional differential equations with non-instantaneous impulses on an arbitrary …

This paper examines a time fractional version of the 2D Fokker-Planck equation involved
with the Atangana-Baleanu-Caputo fractional derivative, under the Dirichlet boundary …

In this work, the stochastic fractional two-dimensional Sobolev equation is introduced and a
collocation method is proposed to solve it. The discrete Chebyshev polynomials are used as …

This paper investigates the partial integro-differential equation of memory type numerically.
The differential operator is discretized based on θ-finite difference schemes, while the …

In this paper, a unique and novel numerical approach—the fractional-order Caputo-Fabrizio
derivative in the Caputo sense—is developed for the solution of fractional differential …

In this paper, a numerical investigation of a class of parabolic Volterra integro-differential
equations has been carried out. Basically, the finite difference method associated with the …

For the first time via this study, the ultimate effort is inclined to numerically solve one-
dimensional parabolic partial integro-differential equations with spatial–temporal delays and …

We consider the discretization method for solving three-dimensional variable-order (3D-VO)
time-fractional partial differential equations. The proposed method is developed based on …

In this paper, rational Bernstein polynomials on the semi‐infinite interval are adapted to
solve a magnetohydrodynamic (MHD) problem. Also, the derivative, product, convert, and …