Positive and Nondecreasing Solutions to an m -Point Boundary Value Problem for Nonlinear Fractional Differential Equation

I. J. Cabrera, J. Harjani and K. B. Sadarangani

Abstract and Applied Analysis, 2012, vol. 2012, 1-15

Abstract:

We are concerned with the existence and uniqueness of a positive and nondecreasing solution for the following nonlinear fractional m -point boundary value problem: , where denotes the standard Riemann-Liouville fractional derivative, is a continuous function, for , and . Our analysis relies on a fixed point theorem in partially ordered sets. Some examples are also presented to illustrate the main results.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:826580

DOI: 10.1155/2012/826580

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