Exponential operators for Fredholm singular integral equations and space - fractional PDEs

Abstract

In this article, it is shown that the combined use of exponential operators and special functions provides a powerful tool to solve certain type of fractional PDEs. A system of space fractional partial differential equations is solved. The exponential operators are powerful and effective method for solving certain singular integral equations and fractional partial differential equations with non-constant coefficients. Constructive examples are also provided.