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Type: Artigo
Title: On the stability of a hyperbolic fractional partial differential equation
Author: Sousa, J. Vanterler da C.
Capelas de Oliveira, E.
Abstract: In this paper, the psi-Riemann-Liouville fractional partial integral and the psi-Hilfer fractional partial derivative are introduced and some of its particular cases are recovered. Using the Gronwall inequality and these results, we investigate the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of the solutions of a fractional partial differential equation of hyperbolic type in a Banach space (B,center dot), real or complex. Finally, we present an example in order to elucidate the results obtained
Subject: Equações diferenciais fracionárias
Integrais fracionárias
Equações diferenciais hiperbólicas
Equações diferenciais parciais
Country: índia
Editor: Springer
Rights: Fechado
Identifier DOI: 10.1007/s12591-019-00499-3
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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