Existence and Uniqueness of Positive Solutions for Multi-point Fractional Differential Equation Boundary Value Problem

TAN Jing-jing; CHENG Cao-zong

doi:10.11936/bjutxb2015010075

Journal of Beijing University of Technology > 2015 > 41(8): 1275-1280. > DOI: 10.11936/bjutxb2015010075

TAN Jing-jing, CHENG Cao-zong. Existence and Uniqueness of Positive Solutions for Multi-point Fractional Differential Equation Boundary Value Problem[J]. Journal of Beijing University of Technology, 2015, 41(8): 1275-1280. DOI: 10.11936/bjutxb2015010075

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Existence and Uniqueness of Positive Solutions for Multi-point Fractional Differential Equation Boundary Value Problem

College of Applied Sciences, Beijing University of Technology, Beijing 100124, China

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Received Date: January 29, 2015
Available Online: January 10, 2023

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To study the exisence and uniqueness of stutions for the fractional differential equation boundary value problem. The existence and uniqueness of positive solutions for a class of multi-point fractional differential equation boundary value problem were obtained by means of fixed point theorem of a sum operator and the properties of Green function. An iterative scheme to approximate the solution was constructed and an estimation of the positive solution were also established. An application was given as an example.
- fractional differential equation,
- boundary value problem,
- fixed point theorem

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