Sequential fractional differential equations with nonlocal boundary conditions on an arbitrary interval

摘要

We discuss the existence and uniqueness of solutions for a nonlocal three-point boundary value problem of sequential fractional differential equations on an arbitrary interval [ ξ , ζ ] , ξ , ζ ∈ R $[xi, zeta], xi, zetainmathbb{R}$ . Our results rely on standard fixed point theorems and are well illustrated with examples. The case for non-homogeneous three-point boundary conditions is also discussed.