TITLE:
An Arbitrary (Fractional) Orders Differential Equation with Internal Nonlocal and Integral Conditions
AUTHORS:
Ahmed El-Sayed, E. Bin-Taher
KEYWORDS:
Internal Nonlocal Problem, Integral Condition, Fractional Calculus, Existence of Solution, Caratheodory Theorem
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.1 No.3,
June
3,
2011
ABSTRACT: In this paper we study the existence of solution for the differential equation of arbitrary ( fractional) orders,with the general form of internal nonlocal condition,The problem with nonlocal integral condition will be studied.