Controllability and constrained controllability for nonlocal Hilfer fractional differential systems with Clarke’s subdifferential

Abstract

Abstract Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are studied. Sufficient conditions for controllability and constrained controllability for Sobolev-type nonlocal fractional differential systems with Clarke’s subdifferential are established, where the time fractional derivative is the Hilfer derivative. An example is given to illustrate the obtained results.

Keywords

• Nonlocal condition
• Sobolev-type Hilfer fractional differential equation
• Generalized Clarke subdifferential
• Controllability
• Constrained controllability
• Contraction mapping principle