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Type: Artigo
Title: On the nonlinear Ψ -hilfer fractional differential equations
Author: Kucche, Kishor D.
Mali, Ashwini D.
Sousa, J. Vanterler da C.
Abstract: We consider the nonlinear Cauchy problem for Ψ-Hilfer fractional differential equations and investigate the existence, interval of existence and uniqueness of solution in the weighted space of functions. The continuous dependence of solutions on initial conditions is proved via Weissinger fixed point theorem. Picard’s successive approximation method has been developed to solve nonlinear Cauchy problem for differential equations with Ψ-Hilfer fractional derivative and an estimation has been obtained for the error bound. Further, by Picard’s successive approximation, we derive the representation formulae for the solution of linear Cauchy problem for Ψ-Hilfer fractional differential equation with constant coefficient and variable coefficient in terms of Mittag-Leffler function and Generalized (Kilbas–Saigo) Mittag-Leffler function respectively
Subject: Mittag-Leffler, Funções de
Country: Alemanha
Editor: Springer
Rights: Fechado
Identifier DOI: 10.1007/s40314-019-0833-5
Date Issue: 2019
Appears in Collections:IMECC - Artigos e Outros Documentos

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