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Approximation of solutions for nonlinear functional integral equations

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dc.contributor.author Mishra, Lakshmi Narayan
dc.contributor.author Pathak, Vijai Kumar
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-02-01T12:48:44Z
dc.date.available 2024-02-01T12:48:44Z
dc.date.issued 2022
dc.identifier.citation Mishra, Lakshmi Narayan; Pathak, Vijai Kumar; Baleanu, Dumitru. (2022). "Approximation of solutions for nonlinear functional integral equations", AIMS Mathematics, Vol.7, No.9, pp.17486-17506. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/7052
dc.description.abstract In this article, we consider a class of nonlinear functional integral equations, motivated by an equation that offers increasing evidence to the extant literature through replication studies. We investigate the existence of solution for nonlinear functional integral equations on Banach space C[0, 1]. We use the technique of the generalized Darbo’s fixed-point theorem associated with the measure of noncompactness (MNC) to prove our existence result. Also, we have given two examples of the applicability of established existence result in the theory of functional integral equations. Further, we construct an efficient iterative algorithm to compute the solution of the first example, by employing the modified homotopy perturbation (MHP) method associated with Adomian decomposition. Moreover, the condition of convergence and an upper bound of errors are presented. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2022964 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fixed Point Theorem tr_TR
dc.subject Measure of Noncompactness tr_TR
dc.subject Modified Homotopy Perturbation tr_TR
dc.subject Nonlinear Functional İntegral Equation tr_TR
dc.title Approximation of solutions for nonlinear functional integral equations tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 7 tr_TR
dc.identifier.issue 9 tr_TR
dc.identifier.startpage 17486 tr_TR
dc.identifier.endpage 17506 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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