In this paper, we study fractional‐order optimal control problems (FOCPs) involving the
Atangana‐Baleanu fractional derivative. A computational method based on B‐spline …

In this paper, for the first time, the shifted Legendre operational matrix of distributed order
fractional derivative has been derived. Also, this new operational matrix is used together …

In this study, two numerical methods [(a) artificial neural network method with three layers
(input layer, hidden layer, output layer) and (b) least squares support vector regression (LS …

The aim of this article is to investigate an efficient computational method for solving
distributed‐order fractional optimal control problems. In the proposed method, a new …

In this work, we introduce a method based on the Müntz–Legendre polynomials (M‐LPs) for
solving fractal‐fractional 2D optimal control problems that the fractal‐fractional derivative is …

An efficient algorithm is proposed to find an approximate solution via the wavelet collocation
method for the fractional Fredholm integro-differential equations (FFIDEs). To do this, we …

A hybrid of Müntz-Legendre polynomials (MLPs) and block-pulse functions (BPFs) is defined
and carried out to analyze nonlinear fractional optimal control problems consisting of …

In this manuscript, we present a new numerical technique based on two-dimensional Müntz–
Legendre hybrid functions to solve fractional-order partial differential equations (FPDEs) in …

In this article, an effective approach has been proposed to obtain the approximate solutions
of linear and nonlinear two-dimensional Volterra integro-differential equations. First, the two …

This paper is concerned with a two-dimensional fractional optimal control problem whose
governing equations are distributed order fractional differential equations in the Caputo …