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Chain Rule for Fractional Order Derivatives
Science Innovation
Volume 3, Issue 6, December 2015, Pages: 63-67
Received: Aug. 28, 2015; Accepted: Sep. 11, 2015; Published: Sep. 24, 2015
Author
Ali Karci, Department of Computer Engineering, Faculty of Engineering, İnönü University, Malatya, Turkey
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Abstract
The concept of derivative is an old concept and there are numerous studies on this concept. Some of these studies are on fractional order derivative. In this paper, we will emphasize that the methods for fractional order derivative are not valid for chain rule, and all definitions for fractional order derivatives have some deficiencies, since the basic concepts of these definitions are based on the pseudo-continuity and gamma function derived from classical derivation. Due to this case, a new definition for chain rule in fractional order derivative was improved. The validity of definition was verified by theorems and examples.
Keywords
Fractional Calculus, Derivative, Fractional Order Derivatives, Chain Rule
Ali Karci, Chain Rule for Fractional Order Derivatives, Science Innovation. Vol. 3, No. 6, 2015, pp. 63-67. doi: 10.11648/j.si.20150306.11
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