Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations
Kulandhivel KarthikeyanDepartment of Mathematics KPR Institute of Engineering and Technology Coimbatore IndiaP. KarthikeyanDepartment of Mathematics Sri Vasavi College Erode IndiaHacı Mehmet BaşkonuşDepartment of Mathematics and Science Education, Faculty of Education Harran University Sanliurfa TurkeyK. VenkatachalamDepartment of Mathematics Sri Vasavi College Erode IndiaYu‐Ming ChuDepartment of Mathematics Huzhou University Huzhou China
2021en
ABI
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.
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