4 papers · 1 filter
Memory-Type Null Controllability of Parabolic Equations with Moving Controls: A Geometric Characterization
Dev Prakash Jha, Raju K. George
We study memory-type null controllability for linear parabolic equations with hereditary terms and time-dependent control regions. In contrast with classical null controllability,…
Observability and Null Controllability for Parabolic Systems with Delay and Memory
Dev Prakash Jha, Raju K. George
This work develops a controllability framework for parabolic evolution equations with simultaneous time-delay and memory effects. We introduce the notion of delay and memory-type n…
An Operator-Theoretic Framework for the Optimal Control Problem of Nonlinear Caputo Fractional Systems
Dev Prakash Jha, Raju K. George
This paper addresses the optimal control problem for a class of nonlinear fractional systems involving Caputo derivatives and nonlocal initial conditions. The system is reformulate…
Approximate Controllability of Fractional Evolution Equations with Nonlocal Conditions via Operator Theory
Dev Prakash Jha, Raju K George
This paper investigates the existence and uniqueness of mild solutions, as well as the approximate controllability, of a class of fractional evolution equations with nonlocal condi…