Existence results for boundary value problems of arbitrary order integrodifferential equations in Banach spaces

Abstract

We study a boundary value problem of fractional integrodifferential equations involving Caputo's derivative of order α ∈ (n-1,n) in a Banach space. Existence and uniqueness results for the problem are established by means of the Hölder's inequality together with some standard fixed point theorems

Keywords

• fractional order
• integrodifferential equations
• boundary conditions
• existence and uniqueness
• hölder's inequality
• fixed point theorem