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Ahmadkhanlu, Asghar, Jamshidzadeh, Shabnam. (1403). Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem. سامانه مدیریت نشریات علمی, 12(4), 741-748. doi: 10.22034/cmde.2023.51601.2150
Asghar Ahmadkhanlu; Shabnam Jamshidzadeh. "Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem". سامانه مدیریت نشریات علمی, 12, 4, 1403, 741-748. doi: 10.22034/cmde.2023.51601.2150
Ahmadkhanlu, Asghar, Jamshidzadeh, Shabnam. (1403). 'Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem', سامانه مدیریت نشریات علمی, 12(4), pp. 741-748. doi: 10.22034/cmde.2023.51601.2150
Ahmadkhanlu, Asghar, Jamshidzadeh, Shabnam. Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem. سامانه مدیریت نشریات علمی, 1403; 12(4): 741-748. doi: 10.22034/cmde.2023.51601.2150

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

Computational Methods for Differential Equations
مقاله 8، دوره 12، شماره 4، دی 2024، صفحه 741-748    اصل مقاله (312.68 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2023.51601.2150
نویسندگان
Asghar Ahmadkhanlu* ؛ Shabnam Jamshidzadeh
Department of Mathematics, Faculty of Basic Science, Azarbaijan Shahid Madani University, Km 35 Tabriz-Maragheh Road, Tabriz, Iran.
چکیده
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.
کلیدواژه‌ها
Hadamard fractional derivative؛ Boundary value problem؛ Integral boundary condition
مراجع
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