Existence of Solutions and a Numerical Scheme for a Generalized Hybrid Class of N-Coupled Modified Abc-Fractional Differential Equations With an Application
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Alobaidi, Ghada | |
| dc.contributor.author | Rehman, Mutti-Ur | |
| dc.contributor.author | Khan, Hasib | |
| dc.contributor.author | Alzabut, Jehad | |
| dc.date.accessioned | 2023-12-07T12:31:42Z | |
| dc.date.accessioned | 2025-09-18T15:44:00Z | |
| dc.date.available | 2023-12-07T12:31:42Z | |
| dc.date.available | 2025-09-18T15:44:00Z | |
| dc.date.issued | 2023 | |
| dc.description | Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138; Khan, Hasib/0000-0002-7186-8435 | en_US |
| dc.description.abstract | In this article, we investigate some necessary and sufficient conditions required for the existence of solutions for mABC-fractional differential equations (mABC-FDEs) with initial conditions; additionally, a numerical scheme based on the the Lagrange's interpolation polynomial is established and applied to a dynamical system for the applications. We also study the uniqueness and Hyers-Ulam stability for the solutions of the presumed mABC-FDEs system. Such a system has not been studied for the mentioned mABC-operator and this work generalizes most of the results studied for the ABC operator. This study will provide a base to a large number of dynamical problems for the existence, uniqueness and numerical simulations. The results are compared with the classical results graphically to check the accuracy and applicability of the scheme. | en_US |
| dc.description.sponsorship | American University of Sharjah [FRG21-S-S05] | en_US |
| dc.description.sponsorship | The H. Khan and J. Alzabut express their sincere thanks to Prince Sultan University and OST?IM Technical University for their endless support. G. Alobaidi was supported by a faculty research grant from the American University of Sharjah (Project number FRG21-S-S05) . | en_US |
| dc.identifier.citation | Khan, Hasib...et.al. (2023). "Existence of solutions and a numerical scheme for a generalized hybrid class of n-coupled modified ABC-fractional differential equations with an application", AIMS Mathematics, Vol.8, No.3, pp.6609-6625. | en_US |
| dc.identifier.doi | 10.3934/math.2023334 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85146136907 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2023334 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14111 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Modified Abc-Operator | en_US |
| dc.subject | Hybrid Fractional Differential Equations | en_US |
| dc.subject | Existence Of Solutions | en_US |
| dc.subject | Unique Solution | en_US |
| dc.subject | Hyers-Ulam-Stability | en_US |
| dc.subject | Numerical Simulations | en_US |
| dc.title | Existence of Solutions and a Numerical Scheme for a Generalized Hybrid Class of N-Coupled Modified Abc-Fractional Differential Equations With an Application | en_US |
| dc.title | Existence of solutions and a numerical scheme for a generalized hybrid class of n-coupled modified ABC-fractional differential equations with an application | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | |
| gdc.author.id | Khan, Hasib/0000-0002-7186-8435 | |
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| gdc.author.wosid | Khan, Hasib/Afj-9925-2022 | |
| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Alobaidi, Ghada/Aaj-4287-2021 | |
| gdc.author.wosid | Alzabut, Prof. Dr. Jehad/T-8075-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Khan, Hasib; Alzabut, Jehad] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia; [Khan, Hasib] Shaheed Benazir Bhutto Uniers, Dept Math, Dir Upper, Khyber Pakhtunk, Pakistan; [Alzabut, Jehad] OSTIM Tech Univ, Dept Ind Engn, TR-06374 Ankara, Turkiye; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkiye; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] Lebanese Amer Univ, Beirut, Lebanon; [Alobaidi, Ghada] Amer Univ Sharjah, Dept Math & Stat, POB 26666, Sharjah, Sharjah, U Arab Emirates; [Rehman, Mutti-Ur] Akfa Univ, Dept Math, Tashkent, Uzbekistan; [Rehman, Mutti-Ur] Sukkur IBA Univ, Dept Math, Sukkur, Pakistan | en_US |
| gdc.description.endpage | 6625 | en_US |
| gdc.description.issue | 3 | en_US |
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