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http://dx.doi.org/10.14317/jami.2012.30.5_6.773

THREE-POINT BOUNDARY VALUE PROBLEMS FOR A COUPLED SYSTEM OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS  

Yang, Wengui (Ministry of Public Education, Sanmenxia Polytechnic)
Publication Information
Journal of applied mathematics & informatics / v.30, no.5_6, 2012 , pp. 773-785 More about this Journal
Abstract
In this paper, we establish sufficient conditions for the existence and uniqueness of solutions to a general class of three-point boundary value problems for a coupled system of nonlinear fractional differential equations. The differential operator is taken in the Caputo fractional derivatives. By using Green's function, we transform the derivative systems into equivalent integral systems. The existence is based on Schauder fixed point theorem and contraction mapping principle. Finally, some examples are given to show the applicability of our results.
Keywords
Fractional differential equations; three-point boundary value problems; existence and uniqueness results; fixed point theorem;
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