Results on controllability of Hilfer fractional differential equations with infinite delay via measures of noncompactness

By K. Kavitha, V. Vijayakumar, R. Udhayakumar, Chokkalingam Ravichandran. Asian journal of control, 2021

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This manuscript mainly focuses on the controllability of Hilfer fractional differential system with infinite delay. We study our primary outcomes by employing fractional calculus, measures of noncompactness, and fixed‐point approach. Then, we extend our results to the concept of nonlocal conditions. Lastly, an example is given for illustration of theory.

Subfields: Applied Mathematics, Control and Systems Engineering, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/41ab7d20e9ec69808d627580fc831f512693c713