Ulam Stability Results To a Class of Nonlinear Implicit Boundary Value Problems of Impulsive Fractional Differential Equations
| dc.contributor.author | Shah, K. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Ali, A. | |
| dc.date.accessioned | 2020-01-15T14:02:17Z | |
| dc.date.accessioned | 2025-09-18T16:06:56Z | |
| dc.date.available | 2020-01-15T14:02:17Z | |
| dc.date.available | 2025-09-18T16:06:56Z | |
| dc.date.issued | 2019 | |
| dc.description | Ali, Arshad/0000-0001-7815-3849; Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | In this paper, we derive some sufficient conditions which ensure the existence and uniqueness of a solution for a class of nonlinear three point boundary value problems of fractional order implicit differential equations (FOIDEs) with some boundary and impulsive conditions. Also we investigate various types of Hyers-Ulam stability (HUS) for our concerned problem. Using classical fixed point theory and nonlinear functional analysis, we obtain the required conditions. In the last section we give an example to show the applicability of our obtained results. | en_US |
| dc.description.sponsorship | Department of Mathematics, Cankaya University, Etimesgut/Ankara, Turkey | en_US |
| dc.description.sponsorship | This research work has been financially supported by Prof. Dumitru Baleanu of the Department of Mathematics, Cankaya University, Etimesgut/Ankara, Turkey. | en_US |
| dc.identifier.citation | Ali, A.; Shah, K.; Baleanu, D., "Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations",Advances in Difference Equations, (January 2019). | en_US |
| dc.identifier.doi | 10.1186/s13662-018-1940-0 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85059761562 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-018-1940-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14633 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Caputo Derivative | en_US |
| dc.subject | Boundary Conditions | en_US |
| dc.subject | Hyers-Ulam Stability | en_US |
| dc.title | Ulam Stability Results To a Class of Nonlinear Implicit Boundary Value Problems of Impulsive Fractional Differential Equations | en_US |
| dc.title | Ulam stability results to a class of nonlinear implicit boundary value problems of impulsive fractional differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ali, Arshad/0000-0001-7815-3849 | |
| 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 | [Ali, A.; Shah, K.] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan; [Baleanu, D.] Cankaya Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2019 | |
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| gdc.oaire.keywords | Class (philosophy) | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | Stability (learning theory) | |
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| gdc.oaire.keywords | Anomalous Diffusion Modeling and Analysis | |
| gdc.oaire.keywords | Hyers–Ulam stability | |
| gdc.oaire.keywords | Impulsive Differential Equations | |
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| gdc.oaire.keywords | Hyers-Ulam stability | |
| gdc.oaire.keywords | Boundary value problems with impulses for ordinary differential equations | |
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