Existence of a mild solution for impulsive neutral fractional differential equations with nonlocal conditions

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Abstract

In the present work, we study the existence of a mild solution of a fractional-order differential equation with impulsive conditions in a Banach space X.We establish the existence and uniqueness of the mild solution by using some fixed-point theorems and resolvent semigroup theory.

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Chadha, A., & Pandey, D. N. (2015). Existence of a mild solution for impulsive neutral fractional differential equations with nonlocal conditions. In Springer Proceedings in Mathematics and Statistics (Vol. 143, pp. 319–333). Springer New York LLC. https://doi.org/10.1007/978-81-322-2485-3_26

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