Keywords : integro-differential equation

Some Results in the Theory of Fractional Order Integro-Differential Equation with Boundary Conditions

Azzam S. Younes

AL-Rafidain Journal of Computer Sciences and Mathematics, 2010, Volume 7, Issue 2, Pages 101-114
DOI: 10.33899/csmj.2010.163900

This paper deals with the existence and uniqueness of the solution for a boundary value problem of fractional order integro-differential equation, when  using Banach fixed point theorem and Shafer’s fixed point theorem. This investigation based on the well known Riemann-Liouville fractional differential operator.