On a boundary value problem of arbitrary orders differential inclusion with nonlocal, integral and infinite points boundary conditions

Abstract

In this work, we are concerned with a boundary value problem of fractional orders differential inclusion with nonlocal, integral and infinite points boundary conditions. We prove some existence results for that nonlocal boundary value problem. Next, the existence of maximal and minimal solutions is proved. Finally, the sufficient condition for the uniqueness and continuous dependence of solution are studied.

Keywords

• differential inclusion
• boundary value problem
• existence of solutions
• continuous dependence