A fractional derivative inclusion problem via an integral boundary condition

作者：Baleanu Dumitru^*; Moghaddam Mehdi; Mohammadi Hakimeh; Rezapour Shahram

来源：Journal of Computational Analysis and Applications, 2016, 21(3): 504-514.

• Fixed point
• Fractional differential inclusion
• Integral boundary value problem

We investigate the existence of solutions for the fractional differential inclusion (c)D(alpha)x(t) is an element of F(t, x(t)) (equipped with the boundary value problems x(0) = 0 and x(1) = integral(eta)(0) x(s)ds, where 0 < eta < 1, 1 < alpha <= 2, D-c(alpha) is the standard Caputo differentiation and F : [0, 1] x R -> 2(R) is a compact valued multifunction. An illustrative example is also discussed.

• 出版日期2016-9