Asghar Ahmadkhanlu - Department of Mathematics, Faculty of Basic Science, Azerbaijan Shahid Madani University, Km ۳۵ Tabriz-Maragheh Road, Tabriz, Iran.
Shabnam Jamshidzadeh - Department of Mathematics, Faculty of Basic Science, Azerbaijan Shahid Madani University, Km ۳۵ Tabriz-Maragheh Road, Tabriz, Iran.

The main aim of this paper is to study a kind of boundary value problem with an integral boundary condition including Hadamard-type fractional differential equations. To do this, upper and lower solutions are used to guarantee their existence, and Schauder’s fixed point theorem is used to prove the uniqueness of the positive solutions to this problem. An illustrated example is presented to explain the theorems that have been proved.

Hadamard fractional derivative, Boundary value problem, Integral Boundary Condition