A note on the existence of Hilfer fractional differential inclusions with almost sectorial operators
In this paper, we mainly focus on the existence of the mild solution for the Hilfer fractional differential inclusions with almost sectorial operators. By using the results on the fractional calculus, sectorial operators, semigroup theory, and Dhage's fixed point theorem, we prove the primary r...
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| Veröffentlicht in: | Mathematical methods in the applied sciences 2022-03, Vol.45 (5), p.2530-2541 |
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| container_title | Mathematical methods in the applied sciences |
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| creator | Varun Bose, C. S. Udhayakumar, R. |
| description | In this paper, we mainly focus on the existence of the mild solution for the Hilfer fractional differential inclusions with almost sectorial operators. By using the results on the fractional calculus, sectorial operators, semigroup theory, and Dhage's fixed point theorem, we prove the primary results. Finally, an example is presented to demonstrate the theory obtained. |
| doi_str_mv | 10.1002/mma.7938 |
| format | Article |
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| source | Wiley Online Library Journals Frontfile Complete |
| subjects | almost sectorial operators existence fixed point theorem Fixed points (mathematics) Fractional calculus Hilfer fractional system Inclusions mild solution Operators (mathematics) |
| title | A note on the existence of Hilfer fractional differential inclusions with almost sectorial operators |
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