The main focus of this study is to apply the two-step Adomian decomposition method
(TSADM) for finding a solution of a fractional-order non-linear differential equation by using …

Fractional calculus is a powerful and effective tool for modeling of nonlinear systems. In this
paper, we first introduce a modification of conformable fractional derivative to solve fractional …

The present paper deals with the time-fractional unstable nonlinear Schrödinger equation
and the time fractional modified unstable nonlinear Schrödinger equation in the conformable …

In this paper, we present a definition of the generalized fractional local derivative, which
contains as a particular case several of those reported in the literature. In this framework, we …

This paper deals with the solution of a class of Volterra integral equations in the sense of the
conformable fractional derivative. For this goal, the well-organized Neumann method is …

Numerical rules to approximate the Caputo fractional derivative and the Riemann-Liouville
integral operator given in [25] are used to deduce a numerical method to approximate the …

A wide range of fractional differential equations in applied sciences can be solved by
integral transformations. In the present work, first some new theorems related to the Mellin …

In the current paper, the coupled of space-time fractional of both the equal width wave
equation (FCEWE) and the modified equal width wave equation (FCMEWE) are formally …

In this work, we introduce a definition of a local fractional derivative and a fractional integral
of order α> 0 (where this parameter does not need to be integer), with which we overcome …

Analytic behavior of fractional differential equations is often seeming perplexing, thus
determination comprehensive methods for solving them could mostly have a high …