Fractional p -Laplacian differential equations with multi-point boundary conditions in Banach spaces

This paper is devoted to the existence and the Hyers–Ulam stability of solutions for certain types of nonlinear differential equations involving the Liouville–Caputo fractional derivative with multi-point boundary conditions and the p -Laplacian operator in Banach spaces. The existence of solutions is derived with the help of the well-known Darbo’s fixed point theorem. Finally, an illustrative example is presented to show the validity of the obtained results.