کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
837502 | 908341 | 2012 | 8 صفحه PDF | دانلود رایگان |
The method of approximation of the tempered convolution based on Laguerre polynomials we are developing here applies to solving nonlinear fractional coupled systems appearing in mechanical (see Stojanović, 2011) [15]) and other fractional convolution equations from life and science (see Stojanović, 2011 [27]).In this paper, we use it as a tool in solving linear and nonlinear relaxation equations of distributed order with constant relaxation parameter, special weight functions, and with a lack of distributional solutions. We expand some special functions such as the Mittag-Leffler function into Laguerre series.A further perspective of a development of this method is generalization to the nn-dimensional case with applications to fractional convolution equations in the space S′(R̄+n)=S+′(R̄+)×S+′(R̄+)×⋯S+′(R̄+).
Journal: Nonlinear Analysis: Real World Applications - Volume 13, Issue 2, April 2012, Pages 939–946