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Ganji, Masoud, Gharari, Fatemeh. (1395). Generating the generalized distributions by using fractional calculus. سامانه مدیریت نشریات علمی, 5(2), 141-150. doi: 10.22098/jhs.2016.2675
Masoud Ganji; Fatemeh Gharari. "Generating the generalized distributions by using fractional calculus". سامانه مدیریت نشریات علمی, 5, 2, 1395, 141-150. doi: 10.22098/jhs.2016.2675
Ganji, Masoud, Gharari, Fatemeh. (1395). 'Generating the generalized distributions by using fractional calculus', سامانه مدیریت نشریات علمی, 5(2), pp. 141-150. doi: 10.22098/jhs.2016.2675
Ganji, Masoud, Gharari, Fatemeh. Generating the generalized distributions by using fractional calculus. سامانه مدیریت نشریات علمی, 1395; 5(2): 141-150. doi: 10.22098/jhs.2016.2675

Generating the generalized distributions by using fractional calculus

Journal of Hyperstructures
دوره 5، شماره 2، اسفند 2016، صفحه 141-150    اصل مقاله (255.09 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2016.2675
نویسندگان
Masoud Ganji* 1؛ Fatemeh Gharari2
1Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, Ardabil, Iran
2Department of Statistics, University of University of Mohaghegh Ardabili, P.O.Box 56199-11367, Ardabili, Iran
چکیده
In this paper, we generalized some statistical distribu- tions by using fractional calculus. The domain of parameter space for these distributions was expanded and their PDFs also presented as a product of fractional derivation of Dirac delta function of shape parameter order.
کلیدواژه‌ها
Fractional calculus؛ Dirac delta function؛ Burr distribution؛ Beta type II distribution؛ Beta type III distribution
مراجع
[1] M. Ganji, N. Eghbali and F. Gharari, Some Fractional Special Functions and Fractional Moments, Gen. Math. Notes. 18(2)(2013) 120-127.
[2] M. Ganji and F. Gharari, The Generalized Fourier Transform for the Generation of Complex Fractional Moments, International Journal of Mathematical Archive (IJMA), 5(1)(2014) 293-299.
[3] M. Ganji and F. Gharari, The Generalized Random Variable Appears the Trace of Fractional Calculus in Statistics, Applied Mathematics Information Sciences Letters, 3 (2)(2015) 61-67.
[4] R. Hilfer, Threefold introduction to fractional derivatives, Wiley-VCH, Weinheim, (2008).
[5] A. Kilbas, M. H. Srivastava and J. J. Trujillo, Theory and Application of Frac-tional Differential Equations, North Holland Mathematics Studies 204, (2006).
[6] K.S. Miller and B. Ross, An Introduction to the Fractional Calculus and Frac-tional Differential Equations, John Wiley and Sons, New York, (1993).
[7] K. Oldham and J. Spanier The Fractional Calculus, Theory and Application of Differentiation and Integration to Arbitrary Orders, Academic Press, San Diego, CF,(1974).
[8] I. Podlubny, Fractional differential equations, San Diego: Academic Press,(1999). 

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