Existence of solutions to Sobolev type nonlocal nonlinear functional integrodifferential equations involving Caputo derivative
type: Item
instance of: scholarly article
title: Existence of solutions to Sobolev type nonlocal nonlinear functional integrodifferential equations involving Caputo derivative
author: Madhukant Sharma
author: Shruti Dubey
published in: Differential Equations and Dynamical Systems
publication date: 2022-10-18T00:00:00Z
review text: In this article the authors have discussed the existence, uniqueness and dependence on initial data of local solutions of nonlinear Sobolev type fractional functional integrodifferential equations in a Banach space along with a nonlocal condition. The results are established by using fixed point techniques and semigroup theory of operators. Further, conditions for the existence of global solution is obtained. A standard example is provided as an application of theoretical results.
Mathematics Subject Classification ID: 34K30
Mathematics Subject Classification ID: 34K37
Mathematics Subject Classification ID: 34K32
Mathematics Subject Classification ID: 45J05
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7603315
zbMATH Keywords: integrodifferential systems
zbMATH Keywords: Sobolev-type equations
zbMATH Keywords: fractional derivatives
reviewed by: Krishnan Balachandran
MaRDI profile type: Publication
full work available at URL: s12591-019-00505-8
OpenAlex ID: W2988098352
Wikidata QID: Q126800897
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DOI: 10.1007/S12591-019-00505-8
description: scientific article; zbMATH DE number 7603315