Fuzzy fractional delay integro-differential equation with the generalized Atangana-Baleanu fractional derivative

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Abstract: In this work, we consider a class of fuzzy fractional delay integro-differential equations with the generalized Caputo-type Atangana-Baleanu (ABC) fractional derivative. By using the monotone iterative method, we not only obtain the existence and uniqueness of the solution for the given problem with the initial condition but also give the monotone iteration sequence converging to the unique solution of the problem. Furthermore, we also give the continuous dependence of the unique solution on initial value. Finally, an example is presented to illustrate the main results obtained. The results presented in this study are new and open a new avenue of research for fuzzy fractional delay integro-differential equations with the generalized ABC fractional derivative.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Fuzzy fractional delay integro-differential equation with the generalized Atangana-Baleanu fractional derivative ; volume:57 ; number:1 ; year:2024 ; extent:13
Demonstratio mathematica ; 57, Heft 1 (2024) (gesamt 13)

Creator: Wang, Guotao
Feng, Meihua
Zhao, Xianghong
Yuan, Hualei

DOI: 10.1515/dema-2024-0008

URN: urn:nbn:de:101:1-2407241542327.420715368023

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 14.08.2025, 10:50 AM CEST

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Wang, Guotao
Feng, Meihua
Zhao, Xianghong
Yuan, Hualei

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Fuzzy fractional delay integro-differential equation with the generalized Atangana-Baleanu fractional derivative

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