Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness

By K. Kavitha, V. Vijayakumar, R. Udhayakumar, Kottakkaran Sooppy Nisar. Mathematical methods in the applied sciences, 2020

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In this manuscript, we are mainly focusing on the existence of mild solutions for the Hilfer fractional evolution system with infinite delay via measures of noncompactness. Fractional calculus and fixed‐point approach are taken into consideration to study the primary outcomes. Finally, we extend the results to the existence of a neutral system with nonlocal conditions. Ultimately, a model is presented for illustration of theory.

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

View Paper: https://www.semanticscholar.org/paper/8c28a39282561efffb61a095635376e82af1be49