Some new sufficient conditions for controllability of fractional order semilinear integrodifferential control systems with nonlocal initial conditions

  • Sandeep Kumar Ch. Charan Singh University, Campus Meerut, Uttar Pradesh (India)
  • Mohit Kumar Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, Uttarakhand (India)

Abstract

In the last few years, many controllability results have been developed for different semilinear control systems of fractional order. In this article, a set of new sufficient conditions is established for the existence of solutions and
controllability for a class of fractional order semilinear integrodifferential (FOSI) control systems involve nonlocal initial conditions. The main advantage of the present study is that, the assumption of compactness on semigroup is to be relaxed in order to obtain the required results. The feasibility of these abstract results is illustrated by an example.

Published
2022-11-19