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

dc.authorid Hamarashid, Hawser/0000-0002-1493-6518
dc.authorid Mohammed, Pshtiwan/0000-0001-6837-8075
dc.authorid Almusawa, Musawa/0000-0001-8485-7113
dc.authorscopusid 58250570700
dc.authorscopusid 23152241800
dc.authorscopusid 57210442975
dc.authorscopusid 57192416276
dc.authorscopusid 57543645200
dc.authorscopusid 7005872966
dc.authorwosid Srivastava, Hari/N-9532-2013
dc.authorwosid Baleanu, Dumitru/B-9936-2012
dc.authorwosid Mohammed, Pshtiwan/Aaj-4673-2020
dc.authorwosid Almusawa, Musawa/Aca-6719-2022
dc.contributor.author HamaRashid, Hawsar
dc.contributor.author Baleanu, Dumitru
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.contributor.authorID 56389 tr_TR
dc.contributor.other Matematik
dc.date.accessioned 2024-01-12T12:32:31Z
dc.date.available 2024-01-12T12:32:31Z
dc.date.issued 2023
dc.department Çankaya University en_US
dc.department-temp [HamaRashid, Hawsar; Mohammed, Pshtiwan Othman] Univ Sulaimani, Coll Educ, Dept Math, Sulaimani 46001, Iraq; [Srivastava, Hari Mohan] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada; [Srivastava, Hari Mohan] Azerbaijan Univ, Dept Math & Informat, AZ-1007 Baku, Azerbaijan; [Srivastava, Hari Mohan] Kyung Hee Univ, Ctr Converging Humanities, 26 Kyungheedae Ro, Seoul 02447, South Korea; [Srivastava, Hari Mohan] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan; [Hama, Mudhafar] Univ Sulaimani, Coll Sci, Dept Math, Sulaimani 46001, Iraq; [Almusawa, Musawa Yahya] Jazan Univ, Fac Sci, Dept Math, Jazan 45142, Saudi Arabia; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, R-76900 Magurele, Romania; [Baleanu, Dumitru] Lebanese Amer Univ, Sch Arts & Sci, Dept Nat Sci, Beirut 11022801, Lebanon en_US
dc.description Hamarashid, Hawser/0000-0002-1493-6518; Mohammed, Pshtiwan/0000-0001-6837-8075; Almusawa, Musawa/0000-0001-8485-7113 en_US
dc.description.abstract This study is devoted to examine the existence and uniqueness behavior of a nonlinear integro-differential 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 generation. At last, three test examples are presented to verify the established theoretical concepts. en_US
dc.description.woscitationindex Science Citation Index Expanded
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. en_US
dc.identifier.doi 10.3934/math.2023745
dc.identifier.endpage 14591 en_US
dc.identifier.issn 2473-6988
dc.identifier.issue 6 en_US
dc.identifier.scopus 2-s2.0-85159488345
dc.identifier.scopusquality Q1
dc.identifier.startpage 14572 en_US
dc.identifier.uri https://doi.org/10.3934/math.2023745
dc.identifier.volume 8 en_US
dc.identifier.wos WOS:000993891300001
dc.identifier.wosquality Q1
dc.language.iso en en_US
dc.publisher Amer inst Mathematical Sciences-aims en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/openAccess en_US
dc.scopus.citedbyCount 13
dc.subject Boundary Value Problem en_US
dc.subject Arzela-Ascoli Theorem en_US
dc.subject Krasnosel'Skii Theorem en_US
dc.subject Nonlinear Integro Equation en_US
dc.title Novel algorithms to approximate the solution of nonlinear integro-differential equations of Volterra-Fredholm integro type tr_TR
dc.title Novel Algorithms To Approximate the Solution of Nonlinear Integro-Differential Equations of Volterra-Fredholm Integro Type en_US
dc.type Article en_US
dc.wos.citedbyCount 13
dspace.entity.type Publication
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