Analytical Solution of Generalized Space-Time Fractional Cable Equation

被引：6
|
作者：
Saxena, Ram K. [1 ]
Tomovski, Zivorad [2 ,3 ]
Sandev, Trifce [4 ,5 ]
机构：
[1] Jai Narain Vyas Univ, Dept Math & Stat, Jodhpur 342004, Rajasthan, India
[2] Univ Rijeka, Dept Math, Radmile Matejcic 2, Rijeka 51000, Croatia
[3] Univ St Cyril & Methudius, Inst Math, Fac Nat Sci & Math, Skopje 1000, North Macedonia
[4] Radiat Safety Directorate, Skopje 1020, North Macedonia
[5] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany
来源：
MATHEMATICS | 2015年 / 3卷 / 02期
关键词：
fractional cable equation; Mittag-Leffler functions; H-function; moments;
D O I：
10.3390/math3020153
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we consider generalized space-time fractional cable equation in presence of external source. By using the Fourier-Laplace transform we obtain the Green function in terms of infinite series in H-functions. The fractional moments of the fundamental solution are derived and their asymptotic behavior in the short and long time limit is analyzed. Some previously obtained results are compared with those presented in this paper. By using the Bernstein characterization theorem we find the conditions under which the even moments are non-negative.
引用
收藏
页码：153 / 170
页数：18
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