Controllability of semilinear impulsive Atangana-Baleanu fractional differential equations with delay

By Djihad Aimene, Dumitru Băleanu, Djamila Seba. Chaos, Solitons & Fractals, 2019

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Abstract We discuss the controllability of semilinear differential equations of fractional order with impulses and delay. We make use of the Atangana-Baleanu derivative. Our main tools are semigroup theory, the fixed point theorem due to Darbo and their combination with the properties of measures of noncompactness. Our abstract results are well supported by an illustrative example.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/c57e252bfbd1f9b7decdf321573c5459b1cddc09