Qualitative Analysis of a Fuzzy Volterra-Fredholm Integrodifferential Equation With an Atangana-Baleanu Fractional Derivative
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Abdo, Mohammed S. | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Almalahi, Mohammed A. | |
| dc.contributor.author | Panchal, Satish K. | |
| dc.date.accessioned | 2024-05-08T11:07:34Z | |
| dc.date.accessioned | 2025-09-18T12:48:08Z | |
| dc.date.available | 2024-05-08T11:07:34Z | |
| dc.date.available | 2025-09-18T12:48:08Z | |
| dc.date.issued | 2022 | |
| dc.description | Abdo, Mohammed S./0000-0001-9085-324X; Almalahi, Mohammed. A./0000-0001-5719-086X; Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | The point of this work was to analyze and investigate the sufficient conditions of the existence and uniqueness of solutions for the nonlinear fuzzy fractional Volterra Fredholm integrodifferential equation in the frame of the Atangana-Baleanu-Caputo fractional derivative methodology. To begin with, we give the parametric interval form of the Atangana-Baleanu-Caputo fractional derivative on fuzzy set-valued functions. Then, by employing Schauder???s and Banach???s fixed point procedures, we examine the existence and uniqueness of solutions for fuzzy fractional Volterra Fredholm integro-differential equation with the Atangana-Baleanu-Caputo fractional operator. It turns out that the last interval model is a combined arrangement of nonlinear equations. In addition, we consider results by applying the Adams Bashforth fractional technique and present two examples that have been numerically solved using graphs. | en_US |
| dc.identifier.citation | Almalahi, Mohammed A.;...et.al. (2022). "Qualitative analysis of a fuzzy Volterra-Fredholm integrodifferential equation with an Atangana-Baleanu fractional derivative", AIMS Mathematics, Vol.7, No.9, pp.15994-16016. | en_US |
| dc.identifier.doi | 10.3934/math.2022876 | |
| dc.identifier.issn | 2473-6988 | |
| dc.identifier.scopus | 2-s2.0-85133865954 | |
| dc.identifier.uri | https://doi.org/10.3934/math.2022876 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/11984 | |
| 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 | Atangana Baleanu Fractional Derivative | en_US |
| dc.subject | Fractional Differential Equations | en_US |
| dc.subject | Fuzzy Fractional | en_US |
| dc.subject | Derivatives | en_US |
| dc.subject | Fuzzy Valued Functions | en_US |
| dc.subject | Generalized Hukuhara Differentiability | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.title | Qualitative Analysis of a Fuzzy Volterra-Fredholm Integrodifferential Equation With an Atangana-Baleanu Fractional Derivative | en_US |
| dc.title | Qualitative analysis of a fuzzy Volterra-Fredholm integrodifferential equation with an Atangana-Baleanu fractional derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Abdo, Mohammed S./0000-0001-9085-324X | |
| gdc.author.id | Almalahi, Mohammed. A./0000-0001-5719-086X | |
| gdc.author.id | Shah, Kamal/0000-0002-8851-4844 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Abdo, Mohammed/Aaf-6594-2019 | |
| gdc.author.wosid | Almalahi, Mohammed/Abd-5672-2021 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Almalahi, Mohammed A.; Panchal, Satish K.] Dr Babasaheb Ambedkar Marathwada Univ, Dept Math, Aurangabad, Maharashtra, India; [Almalahi, Mohammed A.] Hajjah Univ, Dept Math, Hajjah, Yemen; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey; [Jarad, Fahd] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Abdo, Mohammed S.] Hodeidah Univ, Dept Math, Al Hodeidah, Yemen; [Shah, Kamal; Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Sci, Riyadh, Saudi Arabia; [Shah, Kamal] Univ Malakand, Dept Math, Chakdara Dir Lower, Khyber Pakhtunk, Pakistan | en_US |
| gdc.description.endpage | 16016 | en_US |
| gdc.description.issue | 9 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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