An interpretation on controllability of Hilfer fractional derivative with nondense domain

Controllability results of Hilfer delay fractional derivative(HDFD) with nondense operator have been articulated in this article. Primary discussions were made on the existence of mild solution using the Banach contraction principle and continued with controllability results by Darbo-Sadavoskii fixed point theorem. Obtained results enhanced via the numerical approximation with the graphical approach. (C) 2022 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University

Automated summary

This article articulates the controllability results of Hilfer delay fractional derivative (HDFD) with nondense operator. Primary discussions were made on the existence of mild solution using the Banach contraction principle, and continued with controllability results by Darbo-Sadavoskii fixed point theorem. The obtained results were enhanced via numerical approximation with the graphical approach.