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Positive Solutions for a Three-Point Boundary Value Problem of Fractional Q-Difference Equations

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In this work, a three-point boundary value problem of fractional q-difference equations is discussed. By using fixed point theorems on mixed monotone operators, some sufficient conditions that guarantee the existence… Click to show full abstract

In this work, a three-point boundary value problem of fractional q-difference equations is discussed. By using fixed point theorems on mixed monotone operators, some sufficient conditions that guarantee the existence and uniqueness of positive solutions are given. In addition, an iterative scheme can be made to approximate the unique solution. Finally, some interesting examples are provided to illustrate the main results.

Keywords: three point; value problem; problem fractional; point; boundary value; point boundary

Journal Title: Symmetry
Year Published: 2018

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