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 …

In this study, a new numerical method for the solution of the linear and nonlinear distributed
fractional differential equations is introduced. The fractional derivative is described in the …

Abstract We use the Adams-Bashforth-Moulton scheme (ABMS) to determine the
approximate solution of a variable order fractional three-dimensional chaotic process. The …

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

In this paper, a numerical method is presented to obtain and analyze the behavior of
numerical solutions of distributed order fractional differential equations of the general form in …

This paper is concerned with the study of wavelet approximation scheme based on
Legendre and Chebyshev wavelets for finding the approximate solutions of distributed order …

The main aim of this research study is to present a new and efficient numerical method
based on the second kind Chebyshev wavelets for solving the general form of distributed …

In this article, based on the operational matrix of fractional order integration, we introduce a
method for the numerical solution of fractional strongly nonlinear Duffing oscillators with …

This paper recomends a new three-dimensional autonomous chaotic system with six terms
including three multipliers, which is different from the Lorenz system and other existing …