The fractional differential equations involving different types of fractional derivatives are
currently used in many fields of science and engineering. Therefore, the first purpose of this …

In this paper, we introduce a series solution to a class of hyperbolic system of time-fractional
partial differential equations with variable coefficients. The fractional derivative has been …

This work aims at a new semi-analytical technique called the Adomian decomposition
method for the analysis of time-fractional Emden–Fowler equations. The Laplace …

A kind of parabolic equation was extended to the concept of fractional calculus. The
resulting equation is, however, difficult to handle analytically. Therefore, we presented the …

Purpose–The purpose of this paper is to introduce stability analysis for the initial value
problem for the fractional Schrödinger differential equation: Equation 1 in a Hilbert space H …

This paper deals with theoretical and constructive existence results for solutions of nonlinear
fractional differential equations using the method of upper and lower solutions which …

The first and second orders of accuracy difference schemes for the mixed problem for the
multidimensional fractional Schrödinger differential equation with dependent coefficients are …

In the present study, the nonlocal and integral boundary value problems for the system of
nonlinear fractional differential equations involving the Caputo fractional derivative are …

Abstract In this work, Bagley-Torvik equation is considered with conformable derivatives.
The analytical solutions will be obtained via Sine-Gordon expansion method and Bernouli …

In the present paper we consider the initial value problem for the fractional differential
equation in a Banach space E with the strongly positive operator A. The well-posedness of …