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Results on Implicit Fractional Pantograph Equations with Mittag-Leffler Kernel and Nonlocal Condition

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dc.contributor.author Almalahi, Mohammed A.
dc.contributor.author Panchal, Satish K.
dc.contributor.author Jarad, Fahd
dc.date.accessioned 2024-05-14T08:06:50Z
dc.date.available 2024-05-14T08:06:50Z
dc.date.issued 2022
dc.identifier.citation Almalahi, Mohammed A.; Panchal, Satish K.; Jarad, Fahd. (2022). "Results on Implicit Fractional Pantograph Equations with Mittag-Leffler Kernel and Nonlocal Condition", Journal of Mathematics, Vol.2022. tr_TR
dc.identifier.issn 23144629
dc.identifier.uri http://hdl.handle.net/20.500.12416/8313
dc.description.abstract In this study, the main focus is on an investigation of the sufficient conditions of existence and uniqueness of solution for two-classess of nonlinear implicit fractional pantograph equations with nonlocal conditions via Atangana-Baleanu-Riemann-Liouville (ABR) and Atangana-Baleanu-Caputo (ABC) fractional derivative with order σ∈1,2. We introduce the properties of solutions as well as stability results for the proposed problem without using the semigroup property. In the beginning, we convert the given problems into equivalent fractional integral equations. Then, by employing some fixed-point theorems such as Krasnoselskii and Banach's techniques, we examine the existence and uniqueness of solutions to proposed problems. Moreover, by using techniques of nonlinear functional analysis, we analyze Ulam-Hyers (UH) and generalized Ulam-Hyers (GUH) stability results. As an application, we provide some examples to illustrate the validity of our results. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1155/2022/9693005 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.title Results on Implicit Fractional Pantograph Equations with Mittag-Leffler Kernel and Nonlocal Condition tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Mathematics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 2022 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü tr_TR


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