On the Existence and Uniqueness Results for Fuzzy Linear and Semilinear Fractional Evolution Equations Involving Caputo Fractional Derivative

In this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative. The existence theorems are proved by using fuzzy fractional calculus, Picard’s iteration method, and Banach contraction princip...

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Bibliographic Details
Published in:Journal of function spaces 2021, Vol.2021, p.1-7
Main Authors: El Mfadel, Ali, Melliani, Said, Elomari, M’hamed
Format: Article
Language:English
Subjects:
Contraction
Control theory
Existence theorems
Fractional calculus
Fuzzy sets
Integral equations
Linear evolution equations
Mathematical analysis
Mathematical functions
Uniqueness
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Summary:In this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative. The existence theorems are proved by using fuzzy fractional calculus, Picard’s iteration method, and Banach contraction principle. As application, we conclude this paper by giving an illustrative example to demonstrate the applicability of the obtained results.
ISSN:2314-8896
2314-8888
DOI:10.1155/2021/4099173