آمار

تعداد نشریات27
تعداد شماره‌ها361
تعداد مقالات3,186
تعداد مشاهده مقاله4,692,503
تعداد دریافت فایل اصل مقاله3,205,374
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). 

آمار
تعداد مشاهده مقاله: 38
تعداد دریافت فایل اصل مقاله: 57


سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب