International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 13-16, Pages 697-701
doi:10.1155/S0161171204302231
Some analytical properties of solutions of differential equations of noninteger order
S.M. Momani1
, S.B. Hadid2
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
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.