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- Title
Existence of Positive Solutions for a Three-Point Boundary Value Problem with Fractional q-Differences.
- Authors
YUEQIANG SONG
- Abstract
In this paper, we consider the following nonlinear q-fractional three-point boundary value problem (Dqα u)(t)+ f (t;u(t)) = 0; 0 < t < 1; 2 < α < 3; u(0) = (Dqu)(0) = 0; (Dqu)(1) = β(Dqu)(η); where 0 < βηα-2 < 1. By the properties of the Green function and the lower and upper solution method, some new existence to the above boundary value problem are established. As applications, examples are presented to illustrate the main results.
- Subjects
NUMERICAL solutions to boundary value problems; FRACTIONAL differential equations; GREEN'S functions; DIFFERENTIAL calculus; DIFFERENTIAL operators
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2014, Vol 37, Issue 4, p955
- ISSN
0126-6705
- Publication type
Article