Existence of Mild Solution for Fuzzy Fractional Differential Equation Utilizing the Caputo–Katugampola Fractional Derivative
The paper investigates the existence of a mild solution for a fuzzy fractional differential equation involving the Caputo–Katugampola fractional derivative. The main results are established using Mönch’s fixed point theorem, along with essential tools like semigroup theory, fractional calculus, and...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Tsinghua University Press
2025-07-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | https://www.sciopen.com/article/10.26599/FIE.2025.9270060 |
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| Summary: | The paper investigates the existence of a mild solution for a fuzzy fractional differential equation involving the Caputo–Katugampola fractional derivative. The main results are established using Mönch’s fixed point theorem, along with essential tools like semigroup theory, fractional calculus, and the measure of noncompactness. Finally, our theoretical results are applied by providing an interesting example. |
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| ISSN: | 1616-8658 1616-8666 |