Existence and optimal control problem for semilinear fractional order (1,2] control system

By Rohit Patel, Anurag Shukla, Shimpi Singh Jadon. Mathematical methods in the applied sciences, 2020

51 citations recorded by the source corpus.

In this article, we have derived some sufficient conditions for existence of optimal control for semilinear control system of fractional order (1,2] in Hilbert space. We have discussed existence and uniqueness of mild solution with the help of Banach fixed point theorem for proposed problem. Under certain conditions stated, Lagrange's problem admits at least one optimal control pair. Finally, one example is given to understand theoretical results in better manner.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/ec1b80acb9f4cf319dcca5de416f6a3f99ffbf23