Abstract
In this paper, by using the lower and upper solution method and the monotone iterative technique, we investigate the existence of solutions to antiperiodic boundary value problems for impulsive fractional functional equations via a recent novel concept of conformable fractional derivative. An example is given to illustrate our theoretical results.
Highlights
In the past decades, fractional differential equations play important roles in describing many phenomena and processes occurring in engineering and scientific disciplines; for instance, see [1,2,3,4,5,6,7]
By using the lower and upper solution method and the monotone iterative technique, we investigate the existence of solutions to antiperiodic boundary value problems for impulsive fractional functional equations via a recent novel concept of conformable fractional derivative
Besides the research of fractional differential equations, the impulsive differential equation is found to be an effective tool to study some problems of medicine, engineering, biology, and physics [8,9,10]
Summary
Fractional differential equations play important roles in describing many phenomena and processes occurring in engineering and scientific disciplines; for instance, see [1,2,3,4,5,6,7]. Motivated by the above-mentioned work and a recent paper [24], in this article, we discuss the existence of solutions to antiperiodic boundary value problems for impulsive conformable fractional functional differential equations: tkDαx (t) = f (t, x (t) , x (w (t)) , t ∈ J = [0, T] , t ≠ tk,. X (0) = −x (T) , x (t) = x (0) , t ∈ [−r, 0] , where f ∈ C(J × R2, R), aDα denotes the conformable fractional derivative of order 0 < α ≤ 1 starting from a ∈ {trt−0>r, .0≤.,.Iw,kt(m∈t)},,Ct0(∈R=,JRta0n)
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
