Existence of Solutions for Riemann‐Liouville Fractional Boundary Value Problem

Wenzhe Xie, Jing Xiao and Zhiguo Luo

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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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https://doi.org/10.1155/2014/540351

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:540351

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