Geodesic
Stationary Solutions of the Fractional Kinetic Equation with a Symmetric Power-Law Potential
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 1, pp. 162-176 Cet article a éte moissonné depuis la source Math-Net.Ru

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The properties of stationary solutions of the one-dimensional fractional Einstein–Smoluchowski equation with a potential of the form $x^{2m+2}$, $m=1,2,\dots$, and of the Riesz spatial fractional derivative of order $\alpha$, $1\leq\alpha\leq2$ are studied analytically and numerically. We show that for $1\leq\alpha<2$, the stationary distribution functions have power-law asymptotic approximations decreasing as $x^{-(\alpha+2m+1)}$ for large values of the argument. We also show that these distributions are bimodal. 
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     title = {Stationary {Solutions} of the {Fractional} {Kinetic} {Equation} with {a~Symmetric} {Power-Law} {Potential}},
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V. Yu. Gonchar; L. V. Tanatarov; A. V. Chechkin. Stationary Solutions of the Fractional Kinetic Equation with a Symmetric Power-Law Potential. Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 1, pp. 162-176. http://geodesic.mathdoc.fr/item/TMF_2002_131_1_a13/

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