Abstract
dc:description.abstractIn 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.
Degree
thesis:*- Name thesis:degree_name
- Doctor of Philosophy
- Level thesis:degree_level
- Campus Only Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Year
- 2011
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Katugampola, Don Udita Nalin
- Contributors dc:contributor
-
- Kocik, Jerzy
Subjects
dc:subject × 1Identifiers
dc:identifier.*- Repository record dc:identifier
- https://opensiuc.lib.siu.edu/dissertations/387
- OAI identifier oai:identifier
- oai:opensiuc.lib.siu.edu:dissertations-1387