This article deals with two different methods to solve a time fractional partial integro-
differential equation. The fractional derivatives are defined here in Caputo sense. The model …

Integro-differential equations are developed as models in enormous fields of engineering
and science such as biological models, population growth, aerospace systems and …

In the present paper, we propose a spectral collocation method based on Pell polynomials
to obtain the solution of a variable-order fractional integro-differential equation with a weakly …

In the current study, we provide a novel technique based on discrete shifted Hahn
polynomials and Legendre–Gauss–Lobatto quadrature method for solving Caputo–Fabrizio …

In this article, a wavelet collocation method based on linear Legendre multi-wavelets is
proposed for the numerical solution of the first as well as higher orders Fredholm, Volterra …

In this work, a new computational scheme namely fractional-order Genocchi deep neural
network (FGDNN) is introduced to solve a class of nonlinear stochastic differential equations …

In this article, we study the numerical technique for variable‐order fractional reaction‐
diffusion and subdiffusion equations that the fractional derivative is described in Caputo's …

In this paper, a new computational scheme based on operational matrices (OMs) of two‐
dimensional wavelets is proposed for the solution of variable‐order (VO) fractional partial …

The main idea of this paper is to establish the novel Hahn wavelets for solving fractional-
order integro-differential equations (FIDEs). First, we introduce Hahn wavelets and some of …

In this article, the non-singular variable-order fractional derivative in the Heydari-Hosseininia
concept is used to formulate the variable-order fractional form of the coupled nonlinear …