Controllability of fractional evolution systems of Sobolev type via resolvent operators

Abstract

Abstract In this paper, we consider the nonlocal controllability of α ∈ ( 1 , 2 ) $\alpha\in (1,2)$ -order fractional evolution systems of Sobolev type in abstract spaces. By utilizing fixed point theorems and the theory of resolvent operators we establish some sufficient conditions for the nonlocal controllability of Sobolev-type fractional evolution systems.

Keywords

• Fractional evolution systems
• Nonlocal controllability
• Fractional resolvent family
• The measure of noncompactness
• Relative compactness