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.
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Ahmadkhanlu, A., & Jamshidzadeh, S. (2024). Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem. Computational Methods for Differential Equations, 12(4), 741-748. doi: 10.22034/cmde.2023.51601.2150
MLA
Asghar Ahmadkhanlu; Shabnam Jamshidzadeh. "Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem". Computational Methods for Differential Equations, 12, 4, 2024, 741-748. doi: 10.22034/cmde.2023.51601.2150
HARVARD
Ahmadkhanlu, A., Jamshidzadeh, S. (2024). 'Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem', Computational Methods for Differential Equations, 12(4), pp. 741-748. doi: 10.22034/cmde.2023.51601.2150
VANCOUVER
Ahmadkhanlu, A., Jamshidzadeh, S. Existence and uniqueness of positive solutions for a Hadamard fractional integral boundary value problem. Computational Methods for Differential Equations, 2024; 12(4): 741-748. doi: 10.22034/cmde.2023.51601.2150
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