Existence and Stability Results To a Class of Fractional Random Implicit Differential Equations Involving a Generalized Hilfer Fractional Derivative
| dc.contributor.author | Harikrishnan, Sugumaran | |
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Kanagarajan, Kuppusamy | |
| dc.contributor.author | Jarad, Fahd | |
| dc.date.accessioned | 2022-04-20T12:03:00Z | |
| dc.date.accessioned | 2025-09-18T12:06:46Z | |
| dc.date.available | 2022-04-20T12:03:00Z | |
| dc.date.available | 2025-09-18T12:06:46Z | |
| dc.date.issued | 2020 | |
| dc.description | Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | In this paper, the existence, uniqueness and stability of random implicit fractional differential equations (RIFDs) with nonlocal condition and impulsive effect involving a generalized Hilfer fractional derivative (HFD) are discussed. The arguments are discussed via Krasnoselskii's fixed point theorems, Schaefer's fixed point theorems, Banach contraction principle and Ulam type stability. Some examples are included to ensure the abstract results. | en_US |
| dc.identifier.citation | Jarad, Fahd...et al. (2020). "Existence and stability results to a class of fractional random implicit differential equations involving a generalized hilfer fractional derivative", Discrete and Continuous Dynamical Systems - Series S, Vol. 13, No. 3, pp. 723-739. | en_US |
| dc.identifier.doi | 10.3934/dcdss.2020040 | |
| dc.identifier.issn | 1937-1632 | |
| dc.identifier.issn | 1937-1179 | |
| dc.identifier.scopus | 2-s2.0-85078888318 | |
| dc.identifier.uri | https://doi.org/10.3934/dcdss.2020040 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/10989 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | Discrete & Continuous Dynamical Systems - S | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Random Implicit Differential Equations | en_US |
| dc.subject | Generalized Hilfer Fractional Derivative | en_US |
| dc.subject | Existence | en_US |
| dc.subject | Uniqueness And Stability | en_US |
| dc.title | Existence and Stability Results To a Class of Fractional Random Implicit Differential Equations Involving a Generalized Hilfer Fractional Derivative | en_US |
| dc.title | Existence and stability results to a class of fractional random implicit differential equations involving a generalized hilfer fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jarad, Fahd] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey; [Harikrishnan, Sugumaran] Sri Ramakrishna Mission Vidyalaya Coll Arts & Sci, Dept Math, Coimbatore 641020, Tamil Nadu, India; [Shah, Kamal; Kanagarajan, Kuppusamy] Univ Malakand, Dept Math, Dir L, Khyber Pakhtunk, Pakistan | en_US |
| gdc.description.endpage | 739 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 723 | en_US |
| gdc.description.volume | 13 | en_US |
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| gdc.oaire.keywords | random implicit differential equations | |
| gdc.oaire.keywords | Ordinary differential equations and systems with randomness | |
| gdc.oaire.keywords | uniqueness and stability | |
| gdc.oaire.keywords | Applications of operator theory to differential and integral equations | |
| gdc.oaire.keywords | Perturbations of ordinary differential equations | |
| gdc.oaire.keywords | generalized Hilfer fractional derivative | |
| gdc.oaire.keywords | existence | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Nonlocal and multipoint boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Ordinary differential equations with impulses | |
| gdc.oaire.keywords | Implicit ordinary differential equations, differential-algebraic equations | |
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