On a mixed nonlinear boundary value problem with the right Caputo fractional derivative and multipoint closed boundary conditions

Abstract

<abstract><p>This paper is concerned with the study of a new class of boundary value problems involving a right Caputo fractional derivative and mixed Riemann-Liouville fractional integral operators, and a nonlocal multipoint version of the closed boundary conditions. The proposed problem contains the usual and mixed Riemann-Liouville integrals type nonlinearities. We obtain the existence and uniqueness results with the aid of the fixed point theorems. Examples are presented for illustrating the abstract results. Our results are not only new in the given configuration but also specialize to some interesting situations.</p></abstract>