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https://open.uns.ac.rs/handle/123456789/12914
Title: | Fractional relaxation equations of distributed order | Authors: | Stojanović M. | Issue Date: | 1-Apr-2012 | Journal: | Nonlinear Analysis: Real World Applications | Abstract: | 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 Stojanovi, 2011) [15]) and other fractional convolution equations from life and science (see Stojanovi, 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 n-dimensional case with applications to fractional convolution equations in the space S′ (̄R+n) = +′ (̄R+) × +′(̄R+) × ⋯ S+′(̄R+). © 2011 Elsevier Ltd. All rights reserved. | URI: | https://open.uns.ac.rs/handle/123456789/12914 | ISSN: | 14681218 | DOI: | 10.1016/j.nonrwa.2011.08.028 |
Appears in Collections: | FTN Publikacije/Publications |
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