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

dc.contributor.authorHamarashid, Hawsar
dc.contributor.authorSrivastava, Hari Mohan
dc.contributor.authorHama, Mudhafar
dc.contributor.authorMohammed, Pshtiwan Othman
dc.contributor.authorAlmusawa, Musawa Yahya
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2024-01-12T12:32:31Z
dc.date.available2024-01-12T12:32:31Z
dc.date.issued2023
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis 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.en_US
dc.identifier.citationHamarashid, 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.en_US
dc.identifier.doi10.3934/math.2023745
dc.identifier.endpage14591en_US
dc.identifier.issn24736988
dc.identifier.issue6en_US
dc.identifier.startpage14572en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6889
dc.identifier.volume8en_US
dc.language.isoenen_US
dc.relation.ispartofAIMS Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectArzela-Ascoli Theoremen_US
dc.subjectBoundary Value Problemen_US
dc.subjectKrasnosel’skii Theoremen_US
dc.subjectNonlinear Integro Equationen_US
dc.titleNovel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro typetr_TR
dc.titleNovel Algorithms To Approximate the Solution of Nonlinear Integro-Differential Equations of Volterra-Fredholm Integro Typeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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