TY - JOUR
AU - Varun Bose, C. S.
AU - Udhayakumar, R.
AU - Muthukumaran, V.
AU - Al-Omari, S.
PY - 2024/01/05
Y2 - 2024/09/08
TI - A Study on Approximate Controllability of Ψ-Caputo Fractional Differential Equations with Impulsive Effects
JF - Contemporary Mathematics
JA - Contemp. Math.
VL - 5
IS - 1
SE - Research Article
DO - 10.37256/cm.5120243539
UR - https://ojs.wiserpub.com/index.php/CM/article/view/3539
SP - 175-198
AB - <p>In this article, we studied the approximate controllability of Ψ-Caputo fractional differential systems. We prove the sufficient conditions for an abstract Cauchy problem invloving infinite delay, impulsive and nonlocal conditions. The result is shown by means of the infinitesimal operator, semigroup theory, fractional calculus, and Schauder’s fixed point theorem. First, we prove the existence of the mild solution and demonstrate that the Ψ-Caputo fractional system is approximately controllable. Finally, an example is given to analyse the obtained results.</p>
ER -