Distributed-order fractional calculus (DOFC) is a rapidly emerging branch of the broader
area of fractional calculus that has important and far-reaching applications for the modeling …

Abstract The Spectral Finite Element Technique (SFEM) has Several Applications in the
Sciences, Engineering, and Mathematics, which will be Covered in this Review Article. The …

In this research, an attempt has been made to build a bridge between a machine learning
model called Least-Squares Support Vector Regression (LS-SVR) and Weighted Residual …

In this paper, we propose a numerical method for solving distributed-order fractional partial
differential equations (FPDEs). For this method, we first introduce fractional-order …

This paper is concerned with the application of the spectral tau and collocation methods to
delay multi-order fractional differential equations with vanishing delay rx (0< r< 1). The …

The distributed-order fractional diffusion equation is a generalization of the standard
fractional diffusion equation that can model processes lacking power-law scaling over the …

In the paper, a Crank–Nicolson alternating direction implicit (ADI) Galerkin–Legendre
spectral scheme is presented for the two-dimensional Riesz space distributed-order …

In this article, developed the compact implicit difference method based Grünwald Letnikov
formula (GLF) to compute the solution of the time-fractional diffusion-wave equation …

Our main aim in this work is to find the operational matrix of fractional derivative and the
operational matrix of distributed order fractional derivative for the Müntz–Legendre …

We provide a new effective method for the two-dimensional distributed-order fractional
differential equations (DOFDEs). The technique is based on fractional-order Chebyshev …