Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher‐Order Fractional Differential Equation

We consider boundary value problem for nonlinear fractional differential equation , where denotes the Caputo fractional derivative. By using fixed point theorem, we obtain some new results for the existence and multiplicity of solutions to a higher‐order fractional boundary value problem. The interesting point lies in the fact that the solutions here are positive, monotone, and concave.