Existence of Solutions for Riemann-Liouville Fractional Boundary Value Problem

Wenzhe Xie, Jing Xiao and Zhiguo Luo

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

By using the method of upper and lower solutions and fixed point theorems, the existence of solutions for a Riemann-Liouville fractional boundary value problem with the nonlinear term depending on fractional derivative of lower order is obtained under the classical Nagumo conditions. Also, some results concerning Riemann-Liouville fractional derivative at extreme points are established with weaker hypotheses, which improve some works in Al-Refai (2012). As applications, an example is presented to illustrate our main results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:540351

DOI: 10.1155/2014/540351

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