In this paper, we investigate the existence of positive solutions for a second-order multipoint p-Laplacian impulsive boundary value problem on time scales. Using a new fixed point theorem in a cone, sufficient conditions for the existence of at least three positive solutions are established. An illustrative example is also presented.

and Applied Analysis 3 To prove the existence of solutions of problem 1.1 , we need the following fixed-point theorems. Theorem 2.2 see 51 . Let E be a Banach space. Assume that Ω is an open bounded subset of E with θ ∈ Ω and let T : Ω → E be a completely continuous operator such that ‖Tu‖ ≤ ‖u‖, ∀u ∈ ∂Ω. 2.3 Then T has a fixed point in Ω. Lemma 2.3 see 1 . For α > 0, the general solution of fr...

Fractional differential equations have been of great interest recently. This is because of both the intensive development of the theory of fractional calculus itself and the applications of such constructions in various scientific fields such as physics, mechanics, chemistry, engineering, etc. Differential equations with impulsive effects arising from the real world describe the dyn...