Existence and Uniqueness of Solution for a Multi-order p-Laplacian Hadamard-type Fractional-order Boundary Value Problem

The existence and uniqueness of a positive solution for a multi-order p-Laplacian Hadamard-type fractional-order boundary value problem with integral boundary conditions is considered in this work. The solution of the boundary value problem is expressed in an integral form, and the properties of the kernel of the integral equation, in conjunction with some fixed point theorems, are used to establish conditions for the existence and uniqueness of a positive solution for the boundary value problem. An example is used to demonstrate the results obtained.