Phi -Semi group Influence on Stability, Controllability, And Existence Results, phi Conformable Fractional System of a Function on Banach Space

Nasra N and Ghanmi B

Published on: 2025-05-12

Abstract

In this paper, we are interested in the influence of the notion of strongly continuous semigroups in a Banach space for the existence and uniqueness of the solution of the non-ordinary Cauchy problem, but equipped with a fractional differential equation composed by another phi function. Then we studied the stability of this solution by the well-chosen feedback control.To demonstrate the effectiveness of our obtained results, we present the general solutions, stability, controllability on an RLC electric circuit.