On Fuzzy Volterra-Fredholm Integrodifferential Equation Associated With Hilfer-Generalized Proportional Fractional Derivative
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Abualnaja, Khadijah M. | |
| dc.contributor.author | Rashid, Saima | |
| dc.date.accessioned | 2022-10-11T11:47:40Z | |
| dc.date.accessioned | 2025-09-18T14:10:28Z | |
| dc.date.available | 2022-10-11T11:47:40Z | |
| dc.date.available | 2025-09-18T14:10:28Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | Y This investigation communicates with an initial value problem (IVP) of Hilfer-generalized proportional fractional (GPF) differential equations in the fuzzy framework is deliberated. By means of the Hilfer-GPFoperator, we employ the methodology of successive approximation under the generalized Lipschitz condition. Based on the proposed derivative, the fractional Volterra-Fredholm integrodifferential equations (FVFIEs) via generalized fuzzy Hilfer-GPF Hukuhara differentiability (HD) having fuzzy initial conditions are investigated. Moreover, the existence of the solution is proposed by employing the fixed-point formulation. The uniqueness of the solution is verified. Furthermore, we derived the equivalent form of fuzzy FVFIEs which is supposed to demonstrate the convergence of this group of equations. Two appropriate examples are presented for illustrative purposes. | en_US |
| dc.description.sponsorship | Taif University, Taif, Saudi Arabia [TURSP2020/217] | en_US |
| dc.description.sponsorship | The authors would like to express their sincere thanks to the support of Taif University Researchers Supporting Project Number (TURSP2020/217) , Taif University, Taif, Saudi Arabia. | en_US |
| dc.identifier.citation | Rashid, Saima; Jarad, Fahd; Abualnaja, Khadijah M. (2021). "On fuzzy volterra-fredholm integrodifferential equation associated with hilfer-generalized proportional fractional derivative", Vol. 6, No. 10, pp. 10920-10946. | en_US |
| dc.identifier.doi | 10.3934/math.2021635 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85111406459 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2021635 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13694 | |
| dc.language.iso | en | en_US |
| dc.publisher | Amer inst Mathematical Sciences-aims | en_US |
| dc.relation.ispartof | AIMS Mathematics | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Hilfer Generalized Proportional Fractional Derivative Operator | en_US |
| dc.subject | Fuzzy Fractional Derivative Operators | en_US |
| dc.subject | Generalized Hukuhara Differentiability | en_US |
| dc.subject | Fuzzy Fractional Volterra-Fredholm Intgro-Differential Equation | en_US |
| dc.title | On Fuzzy Volterra-Fredholm Integrodifferential Equation Associated With Hilfer-Generalized Proportional Fractional Derivative | en_US |
| dc.title | On fuzzy volterra-fredholm integrodifferential equation associated with hilfer-generalized proportional fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Abualnaja, Khadijah M./Afv-8226-2022 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Rashid, Saima/Aaf-7976-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Rashid, Saima] Govt Coll Univ, Dept Math, Faisalabad, Pakistan; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey; [Jarad, Fahd] China Med Univ Hosp, China Med Univ, Dept Med Res, Taichung, Taiwan; [Abualnaja, Khadijah M.] Taif Univ, Dept Math, Fac Sci, POB 11099, At Taif 21944, Saudi Arabia | en_US |
| gdc.description.endpage | 10946 | en_US |
| gdc.description.issue | 10 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 10920 | en_US |
| gdc.description.volume | 6 | en_US |
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| gdc.oaire.keywords | Statistics and Probability | |
| gdc.oaire.keywords | Fractional Differential Equations | |
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