Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem
عنوان مقاله: Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem
شناسه ملی مقاله: JR_CMDE-12-4_008
منتشر شده در در سال 1403
شناسه ملی مقاله: JR_CMDE-12-4_008
منتشر شده در در سال 1403
مشخصات نویسندگان مقاله:
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.
خلاصه مقاله:
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.
کلمات کلیدی: Hadamard fractional derivative, Boundary value problem, Integral Boundary Condition
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/2088615/