Boundary value problems for differential inclusions with fractional order. (English) Zbl 1152.26005

Agarwal, Ravi P.; Benchohra, Mouffak; Hamani, Samira

Adv. Stud. Contemp. Math., Kyungshang 16, No. 2, 181-196 (2008).

The authors establish sufficient conditions for the existence of solutions for a class of boundary value problem for fractional differential inclusions involving the Caputo fractional derivative. Both cases of convex and non-convex valued right-hand sides are treated.

Reviewer: George A. Anastassiou (Memphis)

MSC:

26A33	Fractional derivatives and integrals
34A60	Ordinary differential inclusions

Keywords:

differential inclusion; Caputo fractional derivative; fractional integral; fixed point