In this paper we present a computational method for solving a class of nonlinear Fredholm
integro-differential equations of fractional order which is based on CAS (Cosine And Sine) …

In this article, a new general form of fractional power series is introduced in the sense of the
Caputo fractional derivative. Using this approach some results of the classical power series …

The object of this article is to present the computational solution of the time-fractional
Schrödinger equation subject to given constraint condition based on the generalized Taylor …

Fractional calculus has been used to model physical and engineering processes that are
found to be best described by fractional differential equations. For that reason we need a …

In this paper, explicit and approximate solutions of the nonlinear fractional KdV–Burgers
equation with time–space-fractional derivatives are presented and discussed. The solutions …

In this article, a general formulation for the fractional-order Legendre functions (FLFs) is
constructed to obtain the solution of the fractional-order differential equations. Fractional …

Motivated by the importance of diffusion equations in many physical situations in general
and in plasma physics in particular, therefore, in this study, we try to find some novel …

The Atangana–Baleanu derivative and the Laguerre polynomial are used in this analysis to
define a new computational technique for solving fractional differential equations. To serve …

In this paper, a modification of He's homotopy perturbation method is presented. The new
modification extends the application of the method to solve nonlinear differential equations …

In this article, a class of population growth model, the fractional nonlinear logistic system, is
studied analytically and numerically. This model is investigated by means of Atangana …