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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| Format: | Article |
| Language: | English |
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Tsinghua University Press
2025-07-01
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| Series: | Fuzzy Information and Engineering |
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| Online Access: | https://www.sciopen.com/article/10.26599/FIE.2025.9270060 |
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| author | Ramaraj Hariharan Ramalingam Udhayakumar |
| author_facet | Ramaraj Hariharan Ramalingam Udhayakumar |
| author_sort | Ramaraj Hariharan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3afc5124d9934dadb39411f9385ffcfc |
| institution | Kabale University |
| issn | 1616-8658 1616-8666 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj-art-3afc5124d9934dadb39411f9385ffcfc2025-08-20T03:59:44ZengTsinghua University PressFuzzy Information and Engineering1616-86581616-86662025-07-0117221522610.26599/FIE.2025.9270060Existence of Mild Solution for Fuzzy Fractional Differential Equation Utilizing the Caputo–Katugampola Fractional DerivativeRamaraj Hariharan0Ramalingam Udhayakumar1Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India.Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore 632014, India.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.https://www.sciopen.com/article/10.26599/FIE.2025.9270060fuzzy fractional differential equationcaputo–katugampola fractional derivativemeasure of noncompactnessfixed point theorem |
| spellingShingle | Ramaraj Hariharan Ramalingam Udhayakumar Existence of Mild Solution for Fuzzy Fractional Differential Equation Utilizing the Caputo–Katugampola Fractional Derivative Fuzzy Information and Engineering fuzzy fractional differential equation caputo–katugampola fractional derivative measure of noncompactness fixed point theorem |
| title | Existence of Mild Solution for Fuzzy Fractional Differential Equation Utilizing the Caputo–Katugampola Fractional Derivative |
| title_full | Existence of Mild Solution for Fuzzy Fractional Differential Equation Utilizing the Caputo–Katugampola Fractional Derivative |
| title_fullStr | Existence of Mild Solution for Fuzzy Fractional Differential Equation Utilizing the Caputo–Katugampola Fractional Derivative |
| title_full_unstemmed | Existence of Mild Solution for Fuzzy Fractional Differential Equation Utilizing the Caputo–Katugampola Fractional Derivative |
| title_short | Existence of Mild Solution for Fuzzy Fractional Differential Equation Utilizing the Caputo–Katugampola Fractional Derivative |
| title_sort | existence of mild solution for fuzzy fractional differential equation utilizing the caputo katugampola fractional derivative |
| topic | fuzzy fractional differential equation caputo–katugampola fractional derivative measure of noncompactness fixed point theorem |
| url | https://www.sciopen.com/article/10.26599/FIE.2025.9270060 |
| work_keys_str_mv | AT ramarajhariharan existenceofmildsolutionforfuzzyfractionaldifferentialequationutilizingthecaputokatugampolafractionalderivative AT ramalingamudhayakumar existenceofmildsolutionforfuzzyfractionaldifferentialequationutilizingthecaputokatugampolafractionalderivative |