This research aims to estimate the solutions of fractional-order partial differential equations
of spacial fractional and both time-space fractional order. For this, we use finite differences …

This paper presents a novel numerical approach for approximating the solution of the model
describing the infection of CD 4+ T-cells by the human T-cell lymphotropic virus I (HTLV-I) …

In this paper, the numerical method for solving a class of generalized fractional advection-
diffusion equation (GFADE) is considered. The fractional derivative involving scale and …

The fractional form of the classical diffusion equation embodies the super-diffusive and sub-
diffusive characteristics of any flow, depending on the fractional order. This study aims to …

In this paper, we give an efficient way to calculate the values of the Mittag–Leffler (h-ML)
function defined in discrete time h N, where h> 0 is a real number. We construct a matrix …

This paper presents a numerical method based on an operational matrix of Legendre
polynomials for resolving the class of time fractional diffusion (TFD) equations. The …

Within this work, we look into the existence results for a family of fractional functional
differential equations employing the Riesz-Caputo fractional derivative in a Banach space …

(Fractional) differential equations have seen increasing use in physics, signal processing,
fluid mechanics, viscoelasticity, mathematical biology, electrochemistry, and many other …

In this paper, we propose a uniformly convergent numerical scheme for a class of time-
fractional singularly perturbed delay partial differential equations exhibiting a right regular …

This research aims to estimate the solutions of fractional-order partial differential equations
of spacial fractional and both time-space fractional order. For this, we use finite differences …