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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
DOI: 10.1063/1.4904690
ISSN: 1551-7616
Appears in Collections:CIDMA - Artigos
FAAG - Artigos

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