Sufficient Conditions for Existence of Integral Solution for Non-Instantaneous Impulsive Fractional Evolution Equations

Jayanta Borah () and Swaroop Nandan Bora ()
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Jayanta Borah: Indian Institute of Technology Guwahati
Swaroop Nandan Bora: Indian Institute of Technology Guwahati

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 1065-1082

Abstract: Abstract In this article, we establish sufficient conditions for existence and uniqueness of integral solution for some non-densely defined non-instantaneous impulsive evolution equations on a Banach space involving Caputo fractional derivative. The results are obtained by means of characteristic functions based on probability density. Finally, the main results are illustrated through examples.

Keywords: Fractional evolution equation; integral solution; non-instantaneous impulse; fixed point theorem; 26A33; 34A08; 35R12 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0450-4

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