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Type: Artigo
Title: Leibniz type rule: ψ-Hilfer fractional operator
Author: Sousa, Vanterler da C. J.
Oliveira, E. Capelas de
Abstract: In this paper, we present a Leibniz type rule for the ψ-Hilfer (ψ-H)fractional derivative operator in two forms, one written in terms of the ψ-Riemann-Liouville (ψ-RL)fractional derivative operator and the other in terms of the ψ-H fractional derivative operator. Direct consequences of this new formulation of a Leibniz type rule are the possibility of writing recurrence relations involving solutions of fractional differential equations and of investigating the existence, uniqueness and Ulam-Hyers stabilities of mild solutions of fractional differential equations involving ψ-H fractional operator. We present some specific cases of Leibniz type rule for the ψ-H fractional derivative operator which emerge from different choices of parameter β and the function ψ
Subject: Equações diferenciais fracionárias
Relações de recorrência
Country: Holanda
Editor: Elsevier
Rights: Fechado
Identifier DOI: 10.1016/j.cnsns.2019.05.003
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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