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Ahmadkhanlu, Asghar. (1400). On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition with a parameter. سامانه مدیریت نشریات علمی, 9(4), 1001-1012. doi: 10.22034/cmde.2020.38643.1699
Asghar Ahmadkhanlu. "On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition with a parameter". سامانه مدیریت نشریات علمی, 9, 4, 1400, 1001-1012. doi: 10.22034/cmde.2020.38643.1699
Ahmadkhanlu, Asghar. (1400). 'On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition with a parameter', سامانه مدیریت نشریات علمی, 9(4), pp. 1001-1012. doi: 10.22034/cmde.2020.38643.1699
Ahmadkhanlu, Asghar. On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition with a parameter. سامانه مدیریت نشریات علمی, 1400; 9(4): 1001-1012. doi: 10.22034/cmde.2020.38643.1699

On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition with a parameter

Computational Methods for Differential Equations
مقاله 5، دوره 9، شماره 4، دی 2021، صفحه 1001-1012    اصل مقاله (127.33 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2020.38643.1699
نویسنده
Asghar Ahmadkhanlu*
Department of Mathematics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, Tabriz, Iran.
چکیده
The aim of this work is to prove the existence and uniqueness of the positive solutions for a fractional boundary value problem by a parameterized integral boundary condition with p-Laplacian operator. By using iteration sequence, the existence of two solutions is proved. Also by applying a fixed point theorem on solid cone, the result for the uniqueness of a positive solution to the problem is obtained. Two examples are given to confirm our results.
کلیدواژه‌ها
Fractional differential equations؛ P-Laplacian operator؛ Integral boundary condition
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