On a Caputo fractional differential inclusion with integral boundary condition for convex-compact and nonconvex-compact valued multifunctions. (English) Zbl 1488.34061
Summary: In this paper, we investigate a Caputo fractional differential inclusion with integral boundary condition under different conditions. First, we investigate it for \(L^1\)-Caratheodory convex-compact valued multifunction. Then, we investigate it for nonconvex-compact valued multifunction via some conditions. Also we give two examples to illustrate our results.
MSC:
| 34A08 | Fractional ordinary differential equations |
| 34A60 | Ordinary differential inclusions |
| 34B15 | Nonlinear boundary value problems for ordinary differential equations |
| 47N20 | Applications of operator theory to differential and integral equations |
| 34B10 | Nonlocal and multipoint boundary value problems for ordinary differential equations |
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