New approach on controllability of Hilfer fractional derivatives with nondense domain

Abstract

This work picturizes the results on the controllability of the nondense Hilfer neutral fractional derivative (HNFD). The uniqueness and controllability of HNFD are discussed with Mönch theorem and Banach contraction technique. In addition, a numerical approximation is given to deal with different criteria of our results.

Keywords

• controllability
• hilfer derivative
• nondense domain
• fixed point
• banach space
• fractional calculus