Existence and Uniqueness of Positive Solution for Nonlinear Fractional Differential Equation with Integral Boundary Conditions

By using fixed point theorems for a class of
generalized concave and convex operators, the positive solution of
nonlinear fractional differential equation with integral boundary
conditions is studied, where n ≥ 3 is an integer, μ is a parameter
and 0 ≤ μ < α. Its existence and uniqueness is proved, and an
iterative scheme is constructed to approximate it. Finally, two
examples are given to illustrate our results.

Authors:

• Chuanyun Gu

Keywords:

• Fractional differential equation
• positive solution
• existence and uniqueness
• fixed point theorem
• generalized concave and convex operator
• integral boundary conditions.

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