Existence and Uniqueness of Positive Solutions for a Hadamard Fractional Integral Boundary Value problem

Document Type : Research Paper


Dept. of Mathematics, Faculty of Basic Science, Azarbaijan Shahid Madani University, Km 35 Tabriz-Maragheh Road, Tabriz, Iran.


‎In this paper‎, ‎a kind of boundary value problem including Hadamard type fractional differential equations with an integral boundary condition is investigated‎. ‎Using the method of upper and lower solutions and Schauder's fixed point theorem‎, ‎the existence and uniqueness of positive solutions of this problem is proved‎. ‎Illustrated example is presented to explain the proved theorems‎.


Main Subjects

Articles in Press, Accepted Manuscript
Available Online from 24 March 2024
  • Receive Date: 15 May 2022
  • Revise Date: 17 December 2023
  • Accept Date: 26 December 2023