Malatya Functions: Symmetric Functions Obtained by Applying Fractional Order Derivative to Karcı Entropy

Ali Karci [1]

78 96

Shannon applied derivative to a special probability function and obtained entropy definition. Karcı converted the derivative with fractional order derivative and obtained a new definition for entropy. In this study, the fractional order of derivative were selected as complex number and symmetric function were obtained. Some of them were illustrated in this study, and it is known that there are infinite symmetric functions obtained by this way.

Fractional Calculus, Fractional Order Derivative, Entropy, Symmetric Functions
  • [1] S. Das, Functional Fractional Calculus, Springer-Verlag Berlin Heidelberg, (2011).
  • [2] A. Karcı, “A New Approach for Fractional Order Derivative and Its Applications”, Universal Journal of Engineering Sciences, Vol:1, pp: 110-117, 2013.
  • [3] A. Karcı, “Properties of Fractional Order Derivatives for Groups of Relations/Functions”, Universal Journal of Engineering Sciences, vol:3, pp:39-45, 2015.
  • [4] A. Karcı,”The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations”, Universal Journal of Engineering Sciences, vol:3, pp:46-51, 2015.
  • [5] A. Karcı, “Generalized Fractional Order Derivatives for Products and Quotients”, Science Innovation, vol:3, pp:58-62, 2015.
  • [6] A. Karcı, “Chain Rule for Fractional Order Derivatives”, Science Innovation, vol:3, 63-67, 2015.
  • [7] S. Bouzebda, I. Elhattab, “New Kernel-types Estimator of Shannon’s Entropy”, Comptes Rendus Mathematique (Comptes Rendus de l'Académie des Sciences - Series I - Mathematics), vol:352, pp:75-80, 2014.
  • [8] M. R.Ubriaco, “Entropies based on fractional calculus”, Physics Letters A, vol:373, pp: 2516-2519, 2009.
  • [9] A. Karcı, “Fractional order entropy New perspectives”, Optik - International Journal for Light and Electron Optics, vol:127, no:20, pp:9172-9177, 2016. [10] A. Karcı, “New Kinds of Entropy Fractional Entropy”, International Conference on Natural Science and Engineering, 1-4, 2016.
Subjects
Journal Section PAPERS
Authors

Author: Ali Karci (Primary Author)
Country: Turkey


Bibtex @research article { bbd366771, journal = {Anatolian Science - Bilgisayar Bilimleri Dergisi}, issn = {2548-1304}, address = {Ali Karcı}, year = {}, volume = {2}, pages = {1 - 8}, doi = {}, title = {Malatya Functions: Symmetric Functions Obtained by Applying Fractional Order Derivative to Karcı Entropy}, key = {cite}, author = {Karci, Ali} }
APA Karci, A . (). Malatya Functions: Symmetric Functions Obtained by Applying Fractional Order Derivative to Karcı Entropy. Anatolian Science - Bilgisayar Bilimleri Dergisi, 2 (2), 1-8. Retrieved from http://dergipark.gov.tr/bbd/issue/35762/366771
MLA Karci, A . "Malatya Functions: Symmetric Functions Obtained by Applying Fractional Order Derivative to Karcı Entropy". Anatolian Science - Bilgisayar Bilimleri Dergisi 2 (): 1-8 <http://dergipark.gov.tr/bbd/issue/35762/366771>
Chicago Karci, A . "Malatya Functions: Symmetric Functions Obtained by Applying Fractional Order Derivative to Karcı Entropy". Anatolian Science - Bilgisayar Bilimleri Dergisi 2 (): 1-8
RIS TY - JOUR T1 - Malatya Functions: Symmetric Functions Obtained by Applying Fractional Order Derivative to Karcı Entropy AU - Ali Karci Y1 - 2018 PY - 2018 N1 - DO - T2 - Journal of Computer Science JF - Journal JO - JOR SP - 1 EP - 8 VL - 2 IS - 2 SN - 2548-1304- M3 - UR - Y2 - 2018 ER -
EndNote %0 Journal of Computer Science Malatya Functions: Symmetric Functions Obtained by Applying Fractional Order Derivative to Karcı Entropy %A Ali Karci %T Malatya Functions: Symmetric Functions Obtained by Applying Fractional Order Derivative to Karcı Entropy %D 2018 %J Journal of Computer Science %P 2548-1304- %V 2 %N 2 %R %U