کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
837877 908350 2011 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Analytical solutions for a time-fractional axisymmetric diffusion–wave equation with a source term
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Analytical solutions for a time-fractional axisymmetric diffusion–wave equation with a source term
چکیده انگلیسی

In this paper, a time-fractional axisymmetric diffusion–wave equation with a source term is considered in cylindrical coordinates. The analytical solution is obtained with the help of an integral transform method and some properties of special functions. In addition, we discuss two kinds of different boundary conditions and different forms of the source term. Finally, we analyze the effects of the fractional derivative on the solutions by using numerical results and find that sub-diffusion phenomena and oscillations exist.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 12, Issue 3, June 2011, Pages 1841–1849
نویسندگان
, ,