on the existence and uniqueness of solutions for a class of non-linear fractional boundary value problems

Clicks: 138
ID: 225378
2016
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Abstract
In this paper, we extend the maximum principle and the method of upper and lower solutions to study a class of nonlinear fractional boundary value problems with the Caputo fractional derivative 1<δ<2. We first transform the problem to an equivalent system of equations, including integer and fractional derivatives. We then implement the method of upper and lower solutions to establish existence and uniqueness results to the resulting system. At the end, some examples are presented to illustrate the validity of our results.
Reference Key
abdulla2016journalon Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Arwa Ba Abdulla;Mohammed Al-Refai;Ahmed Al-Rawashdeh
Journal cenraps journal of social sciences
Year 2016
DOI
10.1016/j.jksus.2015.05.001
URL
Keywords Keywords not found

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