International Journal of Mathematics and Mathematical Sciences 
Volume 2004 (2004), Issue 13, Pages 697-701
doi:10.1155/S0161171204302231

Some analytical properties of solutions of differential equations of noninteger order

S. M. Momani,1 S. B. Hadid,2 and Z. M. Alawenh3

 1Department of Mathematics and Computer Science, Faculty of Science, United Arab Emirates University, P.O. Box 17551, Al-Ain, United Arab Emirates
2Department of Mathematics and Basic Science, Faculty of Science, Ajman Center, Ajman University of Science and Technology, P.O. Box 17550, Al-Ain, United Arab Emirates
3Department of Mathematics, Faculty of Science, University of Qater, Qatar
Received 25 February 2003

Abstract

The analytical properties of solutions of the nonlinear differential equations x(α)(t)=f(t,x), α∈ℝ, 0<α≤1 of noninteger order have been investigated. We obtained two results concerning the frame curves of solutions. Moreover, we proved a result on differential inequality with fractional derivatives.