Font Size: a A A

On generalized fractional integrals and derivatives

Posted on:2012-12-31Degree:Ph.DType:Dissertation
University:Southern Illinois University at CarbondaleCandidate:Katugampola, Don Udita NalinFull Text:PDF
GTID:1460390011463924Subject:Applied Mathematics
Abstract/Summary:
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.
Keywords/Search Tags:Fractional
Related items