This paper deals with a general form of fractional optimal control problems involving the
fractional derivative with singular or non‐singular kernel. The necessary conditions for the …

In this article, we will discuss the applications of the Spectral element method (SEM) and
Finite element Method (FEM) for fractional calculusThe so-called fractional Spectral element …

The main objective in this paper is to propose an efficient numerical formulation for solving
the time-fractional distributed-order advection–diffusion equation. First, the distributed-order …

In this paper, we develop a machine learning method with the Least Squares Support Vector
Regression (LS-SVR) for the numerical solution of Fredholm integral equations. Two …

This study deals with obtaining numerical solutions of two‐dimensional (2D) fractional cable
equation in neuronal dynamics by using a recently introduced meshless method. In solution …

This paper provides the Riesz potential and fractional Laplacian (− Δ) s, s∈ R of the famous
radial kernels, including the Gaussian, multiquadric, Sobolev spline, and mainly focuses on …

In this paper, we numerically investigate the space fractional nonlinear damped wave
equation. We construct a novel high-accuracy dissipation-preserving finite difference …

The Riesz fractional derivative has been employed to describe the spatial derivative in a
variety of mathematical models. In this work, the accuracy of the finite element method (FEM) …

The fractional PDEs based upon the distributed-order fractional derivative have several
applications in physics. The two-dimensional time-space distributed-order weakly singular …

In this paper, we consider the numerical solution of damped Boussinesq equation using
Ciarlet–Raviart mixed finite element method. An implicit finite difference scheme is used for …