This research apparatuses an approximate spectral method for the nonlinear time-fractional
partial integro-differential equation with a weakly singular kernel (TFPIDE). The main idea of …

The time-fractional diffusion equation is applied to a wide range of practical applications. We
suggest using a potent spectral approach to solve this equation. These techniques' main …

The time-fractional heat equation governed by nonlocal conditions is solved using a novel
method developed in this study, which is based on the spectral tau method. There are two …

Herein, we present an algorithm for handling fractional delay differential equations (FDDEs).
Chebyshev polynomials (CPs) class of the seventh kind is a subclass of the generalized …

In this research paper, we address the time-fractional heat conduction equation in one
spatial dimension, subject to nonlocal conditions in the temporal domain. To tackle this …

The homotopy perturbation method is extend to derive the approximate solution of the
variable order fractional partial differential equations with time delay. The variable order …

Herein, we construct an explicit modal numerical solver based on the spec-tral Petrov–
Galerkin method via a specific combination of shifted Cheby-shev polynomial basis for …

This paper presents a numerical strategy for solving the nonlinear time fractional Burgers's
equation (TFBE) to obtain approximate solutions of TFBE. During this procedure, the …

‎ The main goal of this research work is to provide a numerical technique based on choosing
a set of basis functions for handling the third-order time-fractional Korteweg–De Vries …

The focus of this investigation centers on the formulation of a novel spectral method
deployed to numerically solve partial integro-differential equations that possess memory …