Resumen de A Note on the Existence and Controllability Results for Fractional Integrodifferential Inclusions of Order r ∈ (1, 2] with Impulses
Velusamy Vijayakumar, M. Mohan Raja, Anurag Shukla, Juan José Nieto Roig, Kottakkaran Sooppy Nisar
This paper investigates the issue of existence and approximate controllability results for impulsive fractional differential inclusions with delay of orderr ∈ (1, 2] in Banach space. To begin, we analyze existence results for impulsive fractional evolution inclusions with delay using fractional calculations, the r-order cosine family, multivalued maps, and Martelli’s fixed point theorem. The approximate controllability results for impulsive fractional evolution inclusions with delay were then derived using Gronwall’s inequality and the sequence method. Then, we investigate the Sobolev fractional integrodifferential inclusions with finite delay. Moreover, we develop the nonlocal conditions in a given system. Finally, an example is presented to illustrate the main results.
