Positive Solutions for Class of State Dependent Boundary Value Problems with Fractional Order Differential Operators

Dongyuan Liu, Zigen Ouyang and Huilan Wang

Abstract and Applied Analysis, 2015, vol. 2015, 1-11

Abstract:

We consider the following state dependent boundary-value problem , ; , where is the standard Riemann-Liouville fractional derivative of order , , , , the function is defined as , and the function is defined as , are continuous on and , . Using Banach contraction mapping principle and Leray-Schauder continuation principle, we obtain some sufficient conditions for the existence and uniqueness of the positive solutions for the above fractional order differential equations, which extend some references.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:263748

DOI: 10.1155/2015/263748

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