SOLVING FUZZY FRACTIONAL EVOLUTION EQUATIONS WITH DELAY AND NONLOCAL CONDITIONS

Xuping Zhang; Donal O'Regan

doi:10.11948/20220269

2023 Volume 13 Issue 2

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Xuping Zhang, Donal O'Regan. SOLVING FUZZY FRACTIONAL EVOLUTION EQUATIONS WITH DELAY AND NONLOCAL CONDITIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(2): 1000-1013. doi: 10.11948/20220269

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Xuping Zhang, Donal O'Regan. SOLVING FUZZY FRACTIONAL EVOLUTION EQUATIONS WITH DELAY AND NONLOCAL CONDITIONS[J]. Journal of Applied Analysis & Computation, 2023, 13(2): 1000-1013. doi: 10.11948/20220269

SOLVING FUZZY FRACTIONAL EVOLUTION EQUATIONS WITH DELAY AND NONLOCAL CONDITIONS

Xuping Zhang^1, ,,
Donal O'Regan²

1.
Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
2.
School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland

Corresponding author: Email: lanyu9986@126.com (X. Zhang)
Fund Project: The authors were supported by National Natural Science Foundation of China (No. 12061063), Natural Science Foundation of Gansu (20JR5RA522) and Project of NWNU-LKQN2019-13

Abstract

Abstract

In this paper, we prove existence and uniqueness of two kinds of fuzzy mild solutions for fuzzy fractional evolution equations with delay and nonlocal conditions under Caputo $ gH $ differentiability. In particular, the strong restriction on the constants in the condition of Lipschitzian is completely removed when the nonlocal term $ g\equiv0 $. An example is provided to illustrate our results.
- Fuzzy fractional evolution equations /
- delay /
- nonlocal delay initial condition /
- fuzzy mild solution /
- fuzzy strongly continuous semigroup
MSC: 26A33, 47D06

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References

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