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Research Papers

Energy Straggling Function by Fα-Calculus

[+] Author and Article Information
Saleh Ashrafi

Faculty of Physics,
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: ashrafi@tabrizu.ac.ir

Ali Khalili Golmankhaneh

Faculty of Physics,
University of Tabriz,
Tabriz 5166616471, Iran
e-mail: a.khalili@tabrizu.ac.ir

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received June 26, 2016; final manuscript received December 25, 2016; published online May 4, 2017. Assoc. Editor: Haiyan Hu.

J. Comput. Nonlinear Dynam 12(5), 051010 (May 04, 2017) (4 pages) Paper No: CND-16-1304; doi: 10.1115/1.4035718 History: Received June 26, 2016; Revised December 25, 2016

In this manuscript, we have used the recently developed Fα-calculus to calculate the energy straggling function through the fractal distributed structures. We have shown that such a fractal structure of space causes the fractal pattern of the energy loss. Also, we have offered Fα-differential Fokker–Planck equation for thick fractal absorbers.

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