Electronic Journal of Differential Equations, Vol. 2011 (2011), No. 166, pp. 1-8. Title: Positive nondecreasing solutions for a multi-term fractional-order functional differential equation with integral conditions Authors: Ahmed M. A. El-Sayed (Alexandria Univ., Alexandria, Egypt) Ebtisam O. Bin-Taher (Hadhramout Univ. of Sci. and Tech., Yemen) Abstract: In this article, we prove the existence of positive nondecreasing solutions for a multi-term fractional-order functional differential equations. We consider Cauchy boundary problems with: nonlocal conditions, two-point boundary conditions, integral conditions, and deviated arguments. Submitted June 14, 2011. Published December 14, 2011. Math Subject Classifications: 34B10, 26A33. Key Words: Fractional calculus; Cauchy problem; nonlocal condition; integral condition; functional differential equation; integral equation; deviated argument.