An application of fixed point theory in fractional differential inclusions

This article studies the existence of solutions for a fractional differential inclusion D u(t) + D u(t) 2 F(t; u(t)); t 2 J = [0; 1]u(0) = 0 where 0 < < < 1 and D ;D is the standard Riemann-Liouville fractional derivative, F : J Rn ! P(Rn) is a Caratheodory multifunction, Here P(Rn) denotes the family of all nonempty subsets of Rn. Our approach is based on the topological transversality method in fixed point theory.

کلیدواژه ها:

Riemann-Liouville derivative ، Fixed point ، Fractional differential inclusion