Nontrivial solutions for a Hadamard fractional integral boundary value problem

Abstract

In this paper, we studied a Hadamard-type fractional Riemann-Stieltjes integral boundary value problem. The existence of nontrivial solutions was obtained by using the fixed-point method when the nonlinearities can be superlinear, suberlinear, and have asymptotic linear growth. Our results improved and generalized some results of the existing literature.

Keywords

• hadamard-type fractional-order differential equations
• integral boundary value problems
• nontrivial solutions
• topological degree