Date of Award

8-1-2011

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Kocik, Jerzy

Abstract

In this paper we present a generalization to two existing fractional integrals and derivatives, namely, the Riemann-Liouville and Hadamard fractional operators. The existence and uniqueness results for single term fractional differential equations (FDE) have also been established. We also obtain the Mellin transforms of such generalized fractional operators which are important in solving fractional differential equations.

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