Survey paper : Some generalized fractional calculus operators and their applications in integral equations

Abstract

In this paper, we survey some generalizations of fractional integrals and derivatives and present some of their properties. Using these properties, we show that many integral equations can be solved in a much elegant way. We believe that this will blur the distinction between the integral and differential equations, and provide a systematic approach for the two of these classes. © 2012 Diogenes Co., Sofia.