SOLUTIONS FOR A FRACTIONAL-ORDER DIFFERENTIAL EQUATION WITH BOUNDARY CONDITIONS OF THIRD ORDER

Abstract

This paper is concerned with a fractional-order boundary value problem involving the Riemann-Liouville fractional derivative of order α ∈ (3, 4]. Existence and uniqueness results of solutions are established by the Banach fixed point theorem. AMS Subject Classification: 34A08, 34B15, 47H10