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- Title
Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations.
- Authors
Karthikeyan, Kulandhivel; Karthikeyan, Panjaiyan; Baskonus, Haci Mehmet; Venkatachalam, Kuppusamy; Chu, Yu‐Ming
- Abstract
This paper is concerned with the existence results of Ψ‐Hilfer fractional impulsive integro‐differential equations involving almost sectorial operators. The mild solutions of the problems are proved by using Schauder fixed‐point theorem along with measure of noncompactness. We have discussed the two cases of operators associated semigroup. Also, we consider an abstract application via Hilfer fractional derivative system to verify the results.
- Subjects
INTEGRO-differential equations; IMPULSIVE differential equations; MEASUREMENT
- Publication
Mathematical Methods in the Applied Sciences, 2022, Vol 45, Issue 13, p8045
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.7954