Existence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations

2017/04/07 by D. B. Dhaigude, Dhaigude, D. B., Sandeep P. Bhairat +1
Mathematics · #26A33 #34A08 #34A12 #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1704.02174

openalex publication_date 2017/04/07 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28

Abstract

The Cauchy-type problem for a nonlinear differential equation involving Hilfer fractional derivative is considered. We prove existence, uniqueness and continuous dependence of a solution for Cauchy-type problem using successive approximations and generalized Gronwall inequality.

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