کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
767110 897149 2012 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Analytic solution of a class of fractional differential equations with variable coefficients by operatorial methods
چکیده انگلیسی

In this note we show the analytic solution of a class of fractional differential equations with variable coefficients by using operatorial methods. Taking inspiration from previous papers by Dattoli et al. [4], [5] and [6] about spectral properties of Laguerre derivative, we here generalize some of their results to fractional evolution equations. Besides that, we have two interesting generalized examples. One is about telegraph equation with time dependent coefficient. The other, that could be of some interest for realistic applications, is the fractional diffusion with a space-dependent diffusion coefficient.


► Summary about spectral properties of Caputo and Laguerre derivative.
► Application of operatorial methods to fractional equations with variable coefficients.
► Application of this method to find explicit solutions of applied problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 17, Issue 4, April 2012, Pages 1549–1554
نویسندگان
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