On Implicit ψ-Caputo Fractional Integro-differential Equations

2021/10/08 by Deepak B‎. ‎Pachpatte, Pachpatte, Deepak B., Bhagwat R. Yewale +1
Mathematics · #26A33 #26D10 #26D15 #Differential Equations and Boundary Problems #FOS: Mathematics #Fixed Point Theorems Analysis #Fractional Differential Equations Solutions #General Mathematics (math.GM) #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2110.05244

openalex publication_date 2021/10/08 · openalex created_date 2021/10/25 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the existence and uniqueness of solution of\nnonlinear \ψ-Caputo fractional differential equation with the help of\nBanach fixed point theorem. Moreover, by using \ψ-Gronwall inequality, we\nstudied some qualitative properties of solutions such as estimate and\nstability.\n

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