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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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2022-03, Vol.45 (5), p.2530-2541
Main Authors: Varun Bose, C. S., Udhayakumar, R.
Format: Article
Language:English
Subjects:
almost sectorial operators
existence
fixed point theorem
Fixed points (mathematics)
Fractional calculus
Hilfer fractional system
Inclusions
mild solution
Operators (mathematics)
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Summary: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.7938