Conditions to guarantee the existence of solutions for a nonlinear and implicit integro-differential equation with variable coefficients

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dc.authoridTofigh Allahviranloo / 0000-0002-6673-3560en_US
dc.authorscopusidTofigh Allahviranloo / 8834494700en_US
dc.authorwosidTofigh Allahviranloo / V-4843-2019en_US
dc.contributor.authorLi, Chenkuan
dc.contributor.authorSaadati, Reza
dc.contributor.authorAllahviranloo, Tofigh
dc.date.accessioned2022-12-15T08:54:14Z
dc.date.available2022-12-15T08:54:14Z
dc.date.issued2022en_US
dc.departmentİstinye Üniversitesi, Mühendislik ve Doğa Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractUsing Babenko's approach, multivariate Mittag-Leffler (MM-L) function, and Krasnoselskii's fixed point theorem, we first investigate the existence of solutions to a Liouville-Caputo nonlinear integro-differential equation with variable coefficients and initial conditions in a Banach space. Then the existence of a positive solution for a variant equation is studied. Finally, we provide examples to illustrate the applications of the main results obtained.en_US
dc.identifier.citationLi, C., Saadati, R., & Allahviranloo, T. Conditions to guarantee the existence of solutions for a nonlinear and implicit integro‐differential equation with variable coefficients. Mathematical Methods in the Applied Sciences.en_US
dc.identifier.doi10.1002/mma.8890en_US
dc.identifier.issn0170-4214en_US
dc.identifier.issn1099-1476en_US
dc.identifier.scopus2-s2.0-85142334551en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.urihttp://dx.doi.org/10.1002/mma.8890
dc.identifier.urihttps://hdl.handle.net/20.500.12713/3482
dc.identifier.wosWOS:000888351700001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorAllahviranloo, Tofigh
dc.language.isoenen_US
dc.publisherWILEYen_US
dc.relation.ispartofMATHEMATICAL METHODS IN THE APPLIED SCIENCESen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectBabenko's Approachen_US
dc.subjectKrasnoselskii's Fixed Point Theoremen_US
dc.subjectMM-L Functionen_US
dc.titleConditions to guarantee the existence of solutions for a nonlinear and implicit integro-differential equation with variable coefficientsen_US
dc.typeArticleen_US

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