In this paper, we investigate the following problem
HDϕ1,η1;ψα+(HDϕ2,η2;ψα+ξ(s)) ∈ L(s,ξ(s)),
ξ(α) = 0, ξ(β) = ∑mi=1ωiξ(θi), s ∈ S = [α,β],
where HDϕ1,η1;ψα+, HDϕ2,η2;ψα+ denote the ψ-Hilfer fractional derivative of order ϕ1, ϕ2 respectively. ϕ1, ϕ2 ∈ (0,1), η1, η2 ∈ (0,1), ωi ∈ R+, L is a multivalued map on [α,β]×R. By means of the multi-valued fixed point theorems, sufficient conditions for the existence of solutions for the ψ-Hilfer fractional differential inclusions with multi-point boundary conditions are presented. We give an example to show the effectiveness of the main theorem.
loading subjects...
