TITLE:
Existence and Uniqueness of Solution for a Fractional Order Integro-Differential Equation with Non-Local and Global Boundary Conditions
AUTHORS:
Mehran Fatemi, Nihan Aliev, Sedaghat Shahmorad
KEYWORDS:
Fractional Order Integro-Differential Equation, Non-Local Boundary Conditions, Fundamental Solution
JOURNAL NAME:
Applied Mathematics,
Vol.2 No.10,
October
14,
2011
ABSTRACT: In this paper, we prove an important existence and uniqueness theorem for a fractional order Fredholm – Volterra integro-differential equation with non-local and global boundary conditions by converting it to the corresponding well known Fredholm integral equation of second kind. The considered in this paper has been solved already numerically in [1].