Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem

Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_CMDE-12-4_008

تاریخ نمایه سازی: 8 مهر 1403

Abstract:

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.

Authors

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.