| Abstract: |
| In this work, we establish sufficient conditions for existence and uniqueness of integral solution of a non-densely defined closed linear operator satisfying the Hille-Yosida conditions of a non-instantaneous impulsive evolution equation on a Banach space involving Caputo fractional derivative. Our analysis is based on fractional calculus, Banach contraction method and Darbo-Sadvoskii`s fixed point theorem. The results are obtained by means of characteristic functions based on probability density. Finally, the main results are illustrated through examples. |
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