Exact Controllability of Multi-Term Time-Fractional Differential System with Sequencing Techniques

In this paper, an abstract multi-term time-fractional differential system is considered and the existence, uniqueness and exact controllability results are investigated. In this theory, we use the notion of bounded integral contractor introduced by Altman to come up with a new set of sufficient conditions for the exact controllability by constructing a sequencing technique. Moreover, in this technique, we are not required to define induced inverse operator and Lipschitz continuity of nonlinear functions. Finally, an application is given to illustrate the obtained results.