ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES

ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES

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...

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Main Author: Katugampola, Don Udita Nalin
Format: Others
Published: OpenSIUC 2011
Subjects:
26A33
Online Access:https://opensiuc.lib.siu.edu/dissertations/387
https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1387&context=dissertations
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spelling ndltd-siu.edu-oai-opensiuc.lib.siu.edu-dissertations-13872018-12-20T04:28:56Z ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES Katugampola, Don Udita Nalin 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. 2011-08-01T07:00:00Z text application/pdf https://opensiuc.lib.siu.edu/dissertations/387 https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1387&context=dissertations Dissertations OpenSIUC 26A33
collection NDLTD
format Others
sources NDLTD
topic 26A33
spellingShingle 26A33
Katugampola, Don Udita Nalin
ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES
description 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.
author Katugampola, Don Udita Nalin
author_facet Katugampola, Don Udita Nalin
author_sort Katugampola, Don Udita Nalin
title ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES
title_short ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES
title_full ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES
title_fullStr ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES
title_full_unstemmed ON GENERALIZED FRACTIONAL INTEGRALS AND DERIVATIVES
title_sort on generalized fractional integrals and derivatives
publisher OpenSIUC
publishDate 2011
url https://opensiuc.lib.siu.edu/dissertations/387
https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1387&context=dissertations
work_keys_str_mv AT katugampoladonuditanalin ongeneralizedfractionalintegralsandderivatives
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