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Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type

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dc.contributor.author Hamarashid, Hawsar
dc.contributor.author Srivastava, Hari Mohan
dc.contributor.author Hama, Mudhafar
dc.contributor.author Mohammed, Pshtiwan Othman
dc.contributor.author Almusawa, Musawa Yahya
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2024-01-12T12:32:31Z
dc.date.available 2024-01-12T12:32:31Z
dc.date.issued 2023
dc.identifier.citation Hamarashid, Hawsar;...et.al. (2023). "Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type", AIMS Mathematics, Vol.8, no.6, pp.14572-14591. tr_TR
dc.identifier.issn 24736988
dc.identifier.uri http://hdl.handle.net/20.500.12416/6889
dc.description.abstract This study is devoted to examine the existence and uniqueness behavior of a nonlinear integro-di_erential equation of Volterra-Fredholm integral type in continues space. Then, we examine its solution by modification of Adomian and homotopy analysis methods numerically. Initially, the proposed model is reformulated into an abstract space, and the existence and uniqueness of solution is constructed by employing Arzela-Ascoli and Krasnoselskii fixed point theorems. Furthermore, suitable conditions are developed to prove the proposed model’s continues behavior which reflects the stable generation. At last, three test examples are presented to verify the established theoretical concepts. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3934/math.2023745 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Arzela-Ascoli Theorem tr_TR
dc.subject Boundary Value Problem tr_TR
dc.subject Krasnosel’skii Theorem tr_TR
dc.subject Nonlinear Integro Equation tr_TR
dc.title Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type tr_TR
dc.type article tr_TR
dc.relation.journal AIMS Mathematics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 8 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 14572 tr_TR
dc.identifier.endpage 14591 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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