The subject of fractional calculus (that is, the calculus of integrals and derivatives of any
arbitrary real or complex order) has gained considerable popularity and importance during …

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 …

A survey of some recent theoretical and experimental studies on localized structures that
form and propagate in a broad class of optical and matter-wave media is presented. The …

Mathematical biology is one of the interesting research area of applied mathematics that
describes the accurate description of phenomena in biology and related health issues. The …

In this endeavour, Bernstein wavelet and Euler methods are used to solve a nonlinear
fractional predator-prey biological model of two species. The theoretical results with their …

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

The paper aims to employ a new effective methodology to build exact fractional solutions to
the generalized nonlinear Schrödinger equation with a local fractional operator defined on …

The heat equation is parabolic partial differential equation and occurs in the characterization
of diffusion progress. In the present work, a new fractional operator based on the Rabotnov …

One of the most interesting branches of fractional calculus is the local fractional calculus,
which has been used successfully to describe many fractal problems in science and …

The parasitoid is a broad evolutionary association of hymenopteran insects which are well‐
known as biological control agents. Parasites are different from predators because parasites …