On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions

By Chokkalingam Ravichandran, K. Logeswari, S. K. Panda, Kottakkaran Sooppy Nisar. 2020

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Abstract In this article, we study an impulsive neutral fractional integro-differential equation (FIDE) via Atangana-Baleanu fractional derivative. The fixed point approach is employed to prove the existence results of the equation with initial and non-local conditions. The application of the results obtained are verified using suitable examples of different fractional orders.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/d691debf16eea9c96ca4a90a24acc1f3f7711051