Chengbo Zhai, Liting Bai, Positive solutions for a new system of Hadamard fractional integro-differential equations on an infinite interval, Vol. 2024 (2024), Article ID 27, pp. 1-14

Full Text: PDF
DOI: 10.23952/jnfa.2024.27

Received August 5, 2024; Accepted November 8, 2024; Published December 2, 2024

 

Abstract. We study a new system of Hadamard fractional integro-differential equations, supplemented with multi-point boundary conditions which involve finite order Hadamard fractional derivatives on an infinite interval. By applying a fixed point theorem in ordered Banach spaces, the existence and uniqueness of positive solutions for this system are obtained. Moreover, we give convergent sequences to approximate the unique solution. In addition, an interesting example is provided to illustrate our main result.

 

How to Cite this Article:
C. Zhai, L. Bai, Positive solutions for a new system of Hadamard fractional integro-differential equations on an infinite interval, J. Nonlinear Funct. Anal. 2024 (2024) 27.