Universal Journal of Engineering Science(CEASE PUBLICATION) Vol. 1(3), pp. 110 - 117
DOI: 10.13189/ujes.2013.010306
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A New Approach for Fractional Order Derivative and Its Applications

Ali KARCI ^*
Department of Computer Engineering, Faculty of Engineering, İnönü University, 44280 Malatya / Turkey

ABSTRACT

The fractional order derivative (FOD) concept is an important concept, since FOD has application area in engineering and science. The concept of FOD can be found in extensive range of many different subject areas. For this reason, the concept of FOD should be examined in detail. After giving different methods mostly used in engineering and scientific applications, the deficiencies, omissions or errors of these methods will be discussed in this study. Some of these methods are Euler, Riemann-Liouville and Caputo which are FOD methods. There are important deficiencies of Euler, Riemann-Liouville and Caputo methods, and these deficiencies were illustrated for constant and identity functions. Due to these deficiencies, FOD fconcept was redefined in this paper. After defining the FOD concept, the applications of FOD for polynomial, exponential, trigonometric and logarithmic functions were handled in this study. Euler, Riemman-Liouville and Caputo methods can be regarded as curve fitting or curve approximation methods not FOD methods. The method in this paper is a new point of view for FOD.

KEYWORDS
Derivative, Fractional Order Derivatives, Curve Fitting

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Ali KARCI , "A New Approach for Fractional Order Derivative and Its Applications," Universal Journal of Engineering Science(CEASE PUBLICATION), Vol. 1, No. 3, pp. 110 - 117, 2013. DOI: 10.13189/ujes.2013.010306.

(b). APA Format:
Ali KARCI (2013). A New Approach for Fractional Order Derivative and Its Applications. Universal Journal of Engineering Science(CEASE PUBLICATION), 1(3), 110 - 117. DOI: 10.13189/ujes.2013.010306.