Study of Implicit Type Coupled System of Non-Integer Order Differential Equations With Antiperiodic Boundary Conditions
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Khan, Rahmat Ali | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Samina | |
| dc.date.accessioned | 2020-02-18T12:39:07Z | |
| dc.date.accessioned | 2025-09-18T12:05:00Z | |
| dc.date.available | 2020-02-18T12:39:07Z | |
| dc.date.available | 2025-09-18T12:05:00Z | |
| dc.date.issued | 2019 | |
| dc.description | Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | In this paper, the first purpose is to study existence and uniqueness of solutions to a system of implicit fractional differential equations (IFDEs) equipped with antiperiodic boundary conditions (BCs). To obtain the mentioned results, we use Schauder's and Banach fixed point theorem. The second purpose is discussing the Ulam-Hyers (UH) and generalized Ulam-Hyers (GUH) stabilities for the respective solutions. An example is provided to illustrate the established results. | en_US |
| dc.identifier.citation | Samina; Shah...et al. (2019). "Study of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditions", Mathematical Methods in the Applied Sciences, Vol. 42, No. 6, pp. 2033-2042. | en_US |
| dc.identifier.doi | 10.1002/mma.5496 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.scopus | 2-s2.0-85060597654 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.5496 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10478 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Antiperiodic Boundary Conditions | en_US |
| dc.subject | Existence And Uniqueness Of Solutions | en_US |
| dc.subject | Green'S Function | en_US |
| dc.subject | Schauder'S Fixed Point Theorems | en_US |
| dc.subject | Ulam-Hyers Stability | en_US |
| dc.title | Study of Implicit Type Coupled System of Non-Integer Order Differential Equations With Antiperiodic Boundary Conditions | en_US |
| dc.title | Study of implicit type coupled system of non-integer order differential equations with antiperiodic boundary conditions | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Shah, Kamal/0000-0002-8851-4844 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Samina; Shah, Kamal; Khan, Rahmat Ali] Univ Malakand, Dept Math, Dir L, Pakhtunkhwa, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania | en_US |
| gdc.description.endpage | 2042 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 2033 | en_US |
| gdc.description.volume | 42 | en_US |
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| gdc.oaire.keywords | existence and uniqueness of solutions | |
| gdc.oaire.keywords | Nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | Green's functions for ordinary differential equations | |
| gdc.oaire.keywords | Perturbations of ordinary differential equations | |
| gdc.oaire.keywords | antiperiodic boundary conditions | |
| gdc.oaire.keywords | Schauder's fixed point theorems | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Green's function | |
| gdc.oaire.keywords | Ulam-Hyers stability | |
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