Study on Krasnoselskii's Fixed Point Theorem for Caputo-Fabrizio Fractional Differential Equations
| dc.contributor.author | Shah, K. | |
| dc.contributor.author | Sarwar, M. | |
| dc.contributor.author | Baleanu, D. | |
| dc.contributor.author | Eiman | |
| dc.date.accessioned | 2021-01-28T12:20:32Z | |
| dc.date.accessioned | 2025-09-18T15:43:15Z | |
| dc.date.available | 2021-01-28T12:20:32Z | |
| dc.date.available | 2025-09-18T15:43:15Z | |
| dc.date.issued | 2020 | |
| dc.description | Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | This note is concerned with establishing existence theory of solutions to a class of implicit fractional differential equations (FODEs) involving nonsingular derivative. By using usual classical fixed point theorems of Banach and Krasnoselskii, we develop sufficient conditions for the existence of at least one solution and its uniqueness. Further, some results about Ulam-Hyers stability and its generalization are also discussed. Two suitable examples are given to demonstrate the 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 | Eiman...at all (2020). "Study on Krasnoselskii's fixed point theorem for Caputo-Fabrizio fractional differential equations", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02624-x | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85083996102 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02624-x | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13904 | |
| 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 | Krasnoselskii'S Fixed Point Theorem | en_US |
| dc.subject | Caputo-Fabrizio Fractional Differential Equations | en_US |
| dc.subject | Hyers-Ulam Stability | en_US |
| dc.title | Study on Krasnoselskii's Fixed Point Theorem for Caputo-Fabrizio Fractional Differential Equations | en_US |
| dc.title | Study on Krasnoselskii's fixed point theorem for Caputo-Fabrizio fractional differential equations | tr_TR |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Sarwar, Muhammad/S-8896-2016 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Eiman; Shah, K.; Sarwar, M.] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan; [Baleanu, D.] Cankaya Univ, Dept Math, Ankara, Turkey; [Baleanu, D.] Inst Space Sci, Bucharest, Romania; [Baleanu, D.] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan | en_US |
| gdc.description.issue | 1 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2020 | en_US |
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| gdc.oaire.keywords | Fractional Differential Equations | |
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| gdc.oaire.keywords | Fractional calculus | |
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| gdc.oaire.keywords | Caputo–Fabrizio fractional differential equations | |
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