Operators of Fractional Calculus and Their Applications

Abstract

During the past four decades or so, various operators of fractional calculus, such as those named after Riemann-Liouville, Weyl, Hadamard, Grunwald-Letnikov, Riesz, Erdelyi-Kober, Liouville-Caputo, and so on, have been found to be remarkably popular and important due mainly to their demonstrated applications in numerous seemingly diverse and widespread fields of the mathematical, physical, chemical, engineering and statistical sciences. Many of these fractional calculus operators provide several potentially useful tools for solving differential, integral, differintegral and integro-differential equations, together with the fractional-calculus analogues and extensions of each of these equation, and various other problems involving special functions of mathematical physics, as well as their extensions and generalizations in one and more variables. In this Special Issue, we invite and welcome review, expository and original research articles dealing with the recent advances in the theory of fractional calculus and its multidisciplinary applications.