A fractional multiterm Gronwall lemma and its application to the stability of fractional integrodifferential systems

Dariusz Idczak

doi:10.1216/jie.2020.32.447

Abstract

We derive a fractional multiterm Gronwall lemma and use it to study the stability of the Cauchy problem for a general fractional integrodifferential system of Volterra type.

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Dariusz Idczak. "A fractional multiterm Gronwall lemma and its application to the stability of fractional integrodifferential systems." J. Integral Equations Applications 32 (4) 447 - 456, Winter 2020. https://doi.org/10.1216/jie.2020.32.447

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Received: 24 September 2019; Revised: 17 April 2020; Accepted: 4 May 2020; Published: Winter 2020

First available in Project Euclid: 5 January 2021

Digital Object Identifier: 10.1216/jie.2020.32.447

Subjects:

Primary: 26D10

Secondary: 45J05

Keywords: Fractional calculus , Gronwall lemma , integrodifferential equation , Stability analysis

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