Existence of solutions for several higher-order Hadamard-type fractional differential equations with integral boundary conditions on infinite interval

Abstract

Abstract In this paper, we investigate the existence of solutions for several higher-order integral boundary value problems of Hadamard-type fractional differential equations on an infinite interval by using the monotone iterative technique and Mawhin’s continuation theorem. The results enrich and extend some known conclusions of Hadamard-type fractional boundary value problems. Moreover, we give two concrete examples to illustrate the theoretical results.

Keywords

• Hadamard fractional derivative
• Fractional differential equation
• Integral boundary value problem
• Infinite interval