Fractional calculus has been studied for over three centuries, and it has multifarious
applications in science and engineering. This review investigates its progress since the first …

Since the 60s of last century Fractional Calculus exhibited a remarkable progress and
presently it is recognized to be an important topic in the scientific arena. This survey …

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of
the special functions with respect to another function, and the integro-differential operators …

This accessible monograph is devoted to a rapidly developing area on the research of
qualitative theory of fractional ordinary differential equations and evolution equations. It is …

This paper analyzes the stability and passivity problems for a class of memristor-based
fractional-order competitive neural networks (MBFOCNNs) by using Caputo's fractional …

This book deals with the existence and stability of solutions to initial and boundary value
problems for functional differential and integral equations and inclusions involving the …

General Fractional Derivatives with Applications in Viscoelasticity introduces the newly
established fractional-order calculus operators involving singular and non-singular kernels …

Local Fractional Integral Transforms and Their Applications provides information on how
local fractional calculus has been successfully applied to describe the numerous …

In this paper, we find the solution of the time-fractional Newell-Whitehead-Segel equation
with the help of two different methods. The newell-Whitehead-Segel equation plays an …

Backstepping control is effective for integer-order nonlinear systems with triangular
structures. Nevertheless, it is hard to be applied to fractional-order nonlinear systems as the …