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

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.

Automated summary

The paper mainly focuses on the existence of mild solutions for the Hilfer fractional evolution system with infinite delay using measures of noncompactness. It employs fractional calculus and fixed-point approach to study the primary outcomes, and extends the results to a neutral system with nonlocal conditions. Ultimately, a model is presented for illustration of the theory.