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http://hdl.handle.net/10773/18647
Title: | An operational method to solve fractional differential equations |
Author: | Rodrigues, M. M. Vieira, N. |
Keywords: | Riemann-Liouville and Caputo derivatives Fractional differential equations Fractional Laguerre differential equation Mellin and Laplace transforms |
Issue Date: | Dec-2014 |
Publisher: | Seenith Sivasundaram |
Abstract: | In this paper, we present an operational method for solving two fractional equations, namely, the Legendre and the Laguerre equations. Based on operational approach for the Laplace and Mellin, we obtain a particular solution as a generalized power series for both equations, where the fractional derivatives are defined in the Riemann-Liouville sense. We prove the existence and uniqueness of solutions via Banach fix point theorem. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/18647 |
DOI: | 10.1063/1.4904690 |
ISSN: | 1551-7616 |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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MRodrigues_An_Operational_Method.pdf | Documento principal | 466.41 kB | Adobe PDF | View/Open |
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