Existence of mild solution of Atangana–Baleanu fractional differential equations with non-instantaneous impulses and with non-local conditions

By Ashisha Kumar, Dwijendra Narain Pandey. 2020

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Abstract The main objective of this article is to provide the set of sufficient conditions for the existence of mild solution of Atangana–Baleanu fractional differential system with non-instantaneous impulses. Results are obtained via non-compactness of the semigroup and fixed point theory. In the end, an example is given to justify the theoretical results.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/2f84e94b66702070f951347ddbe480af86e79038