Nonlocal and multiple-point boundary value problem for fractional differential equations

Keywords: Nonlocal boundary value problem Caputo's fractional derivative Fractional integral Fixed point theorems a b s t r a c t In the light of the fixed point theorems, we analytically establish the conditions for the uniqueness of solutions as well as the existence of at least one solution in the nonlocal boundary value problem for a specific kind of nonlinear fractional differential equation. Furthermore, we provide a representative example to illustrate a possible application of the established analytical results.