Note on the Solution of Random Differential Equations Via Ψ-Hilfer Fractional Derivative
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Kanagarajan, K. | |
| dc.contributor.author | Harikrishnan, S. | |
| dc.date.accessioned | 2019-12-20T12:34:47Z | |
| dc.date.accessioned | 2025-09-18T15:44:44Z | |
| dc.date.available | 2019-12-20T12:34:47Z | |
| dc.date.available | 2025-09-18T15:44:44Z | |
| dc.date.issued | 2018 | |
| dc.description | Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with psi-Hilfer fractional derivative. The concerned investigation of existence and uniqueness is obtained via the Schauder fixed point theorem and Banach contraction principle, respectively. Furthermore, for the respective solutions, some results related to different kinds of Ulam type stability including Hyers-Ulam, and generalized Hyers-Ulam, Hyers-Ulam-Rassias are obtained. | en_US |
| dc.description.sponsorship | Department of Mathematics, Cankaya University, Ankara, Turkey; Institute of Space Sciences, Bucharest, Romania | en_US |
| dc.description.sponsorship | This research work has been supported financially by the Department of Mathematics, Cankaya University, Ankara, Turkey and Institute of Space Sciences, Bucharest, Romania. | en_US |
| dc.identifier.citation | Harikrishnan, S...et al. (2018). Note on the solution of random differential equations via psi-Hilfer fractional derivative, Advances in Difference Equations. | en_US |
| dc.identifier.doi | 10.1186/s13662-018-1678-8 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85049225408 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-018-1678-8 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14362 | |
| 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 | Random Differential Equations | en_US |
| dc.subject | Psi-Hilfer Fractional Derivative | en_US |
| dc.subject | Existence Theory | en_US |
| dc.subject | Stability Analysis | en_US |
| dc.title | Note on the Solution of Random Differential Equations Via Ψ-Hilfer Fractional Derivative | en_US |
| dc.title | Note on the solution of random differential equations via psi-Hilfer fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Harikrishnan, S.; Kanagarajan, K.] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore, Tamil Nadu, India; [Shah, Kamal] Univ Malakand, Dept Math, Chakdara, Pakistan; [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2018 | |
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| gdc.oaire.keywords | Financial economics | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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