| Autor: |
Saima Rashid, Fahd Jarad, Khadijah M. Abualnaja |
| Jazyk: |
angličtina |
| Rok vydání: |
2021 |
| Předmět: |
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| Zdroj: |
AIMS Mathematics, Vol 6, Iss 10, Pp 10920-10946 (2021) |
| Druh dokumentu: |
article |
| ISSN: |
2473-6988 |
| DOI: |
10.3934/math.2021635?viewType=HTML |
| Popis: |
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-GPF operator, 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. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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