کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5011556 | 1462598 | 2017 | 35 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی مکانیک
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs](/preview/png/5011556.png)
چکیده انگلیسی
By using a counterexample, we proved the fractional chain rule appeared in many references does not hold under Riemann-Liouville definition and Caputo definition of fractional derivative. It shows that this chain rule is invalid in investigating exact solutions of nonlinear fractional partial differential equations (PDEs). In this paper, based on the homogenous balanced principle, the function-expansion method of separation variable type are introduced. By using this method, a series of nonlinear time fractional PDEs such as time fractional KdV equation and Burgers equation, time fractional diffusion-convection equations are studied from mathematical viewpoint. The dynamical properties of these exact solutions are discussed and the profiles of several representative exact solutions are illustrated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 47, June 2017, Pages 253-266
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 47, June 2017, Pages 253-266
نویسندگان
Weiguo Rui,