There is significant literature on Schrödinger differential equation (SDE) solutions, where the
fractional derivatives are stated in terms of Caputo derivative (CD). There is hardly any work …

Most physical systems in nature display inherently nonlinear and dynamical properties;
hence, it would be difficult for nonlinear equations to be solved merely by analytical …

This survey aims to present various approaches to non-integer integrals and derivatives and
their practical implementation within Wolfram Mathematica. It begins by short discussion of …

Here, in this article, we investigate the solution of a general family of fractional-order
differential equations by using the spectral Tau method in the sense of Liouville–Caputo …

Various scholars have lately employed a wide range of strategies to resolve specific types of
symmetrical fractional differential equations. This paper introduces a new implicit finite …

This article proposes two different structures of fractional‐order modified synchronous
reference frame phase‐locked loop (MSRF PLL) and discusses their performance under …

In this paper, we propose a novel reduced differential transform method (RDTM) to compute
analytical and semianalytical approximate solutions of fractional order Airy's ordinary …

In this paper, transient response of commensurate fractional-order systems with non-zero
initial conditions is investigated in the viewpoint of the existence of deviation from initial …

Fractional order nonlinear partial differential equations are useful for detailing many
practical models in multidisciplinary fields. In theory and numerical studies, recognizing …

In this study, the stability analysis of systems with fractional order delay is presented.
Besides, PI controller design using particle swarm optimization (PSO) technique for such …