Fractional-Order Integral and Derivative Operators and Their Applications

In recent years various families of fractional-order integral and derivative operators 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 important and fruitful due mainly to their demonstrated applications in numerous seemingly diverse and widespread areas of the mathematical physical chemical engineering and statistical sciences. Many of these fractional-order operators provide interesting potentially useful tools for solving ordinary and partial differential equations as well as integral differintegral and integro-differential equations; fractional-calculus analogues and extensions of each of these equations; and various other problems involving special functions of mathematical physics and applied mathematics as well as their extensions and generalizations in one or more variables. For this Special Issue we invite and welcome review expository and original research articles dealing with the recent advances in the theory of fractional-order integral and derivative operators and their multidisciplinary applications.