On Fractional Volterra integrodifferential equations with fractional\n integrable impulses

2018/11/29 by Sagar T. Sutar, Sutar, Sagar T., Kishor D. Kucche +1
Mathematics · #34A08 #34A37 #34G20 #45M10 #Differential Equations and Boundary Problems #Dynamical Systems (math.DS) #FOS: Mathematics #Fractional Differential Equations Solutions #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.1811.12087

openalex publication_date 2018/11/29 · openalex created_date 2022/08/01 · openalex updated_date 2026/07/28

Abstract

We consider a class of nonlinear fractional Volterra integrodifferential\nequation with fractional integrable impulses and investigate the existence and\nuniqueness results in the Bielecki's normed Banach spaces. Further,\nBielecki--Ulam type stabilities have been demonstrated on a compact interval. A\nconcrete example is provided to illustrate the outcomes we acquired.\n

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