By a News Reporter-Staff News Editor at Journal of Technology -- Fresh data on Entropy are presented in a new report. According to news originating from Amman, Jordan, by VerticalNews correspondents, research stated, "In this paper, some theorems of the classical power series are generalized for the fractional power series. Some of these theorems are constructed by using Caputo fractional derivatives."
Our news journalists obtained a quote from the research from the University of Jordan,"Under some constraints, we proved that the Caputo fractional derivative can be expressed in terms of the ordinary derivative. New construction of the generalized Taylor's power series is obtained. Some applications including approximation of fractional derivatives and integrals of functions and solutions of linear and nonlinear fractional differential equations are also given."
According to the news editors, the research concluded:"In the nonlinear case, the new and simple technique is used to find out the recurrence relation that determines the coefficients of the fractional power series."
For more information on this research see: New Results on Fractional Power Series: Theories and Applications. Entropy, 2013;15(12):5305-5323.Entropy can be contacted at: Mdpi Ag, Postfach, Ch-4005 Basel, Switzerland.
The news correspondents report that additional information may be obtained from A. El-Ajou, University of Jordan, Fac Sci, Dept. of Math,Amman 11942, Jordan. Additional authors for this research include O. Abu Arqub, Z. Al Zhour and S. Momani.