Abstract
In this paper, we study the existence of solutions for a fractional boundary value problem involving Hadamard-type fractional differential inclusions and integral boundary conditions. Our results include the cases for convex as well as non-convex valued maps and are based on standard fixed point theorems for multivalued maps. Some illustrative examples are also presented.
Highlights
The theory of fractional differential equations and inclusions has received much attention over the past years and has become an important field of investigation due to its extensive applications in numerous branches of physics, economics and engineering sciences [ – ]
It has been noticed that most of the work on the topic is based on Riemann-Liouville and Caputo-type fractional differential equations
We study the following boundary value problem of Hadamard-type fractional differential inclusions: Dαx(t) ∈ F(t, x(t)), < t < e, < α ≤, x( ) =, x(e) = Iβ x(η), < η < e, ( . )
Summary
The theory of fractional differential equations and inclusions has received much attention over the past years and has become an important field of investigation due to its extensive applications in numerous branches of physics, economics and engineering sciences [ – ]. We study the following boundary value problem of Hadamard-type fractional differential inclusions: Dαx(t) ∈ F(t, x(t)), < t < e, < α ≤ , x( ) = , x(e) = Iβ x(η), < η < e, We emphasize that the main idea of the present research is to introduce Hadamard-type fractional differential inclusions supplemented with Hadamard-type integral boundary conditions and develop some existence results for the problem at hand.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
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
