Please use this identifier to cite or link to this item: 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 SizeFormat 
MRodrigues_An_Operational_Method.pdfDocumento principal466.41 kBAdobe PDFView/Open


FacebookTwitterDeliciousLinkedInDiggGoogle BookmarksMySpace
Formato BibTex MendeleyEndnote Degois 

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.