کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1860454 1530608 2012 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک و نجوم (عمومی)
پیش نمایش صفحه اول مقاله
Bäcklund transformation of fractional Riccati equation and its applications to nonlinear fractional partial differential equations
چکیده انگلیسی

In this Letter, the fractional derivatives in the sense of modified Riemann–Liouville derivative and the Bäcklund transformation of fractional Riccati equation are employed for constructing the exact solutions of nonlinear fractional partial differential equations. The power of this manageable method is presented by applying it to several examples. This approach can also be applied to other nonlinear fractional differential equations.


► Backlund transformation of fractional Riccati equation is presented.
► A new method for solving nonlinear fractional differential equations is proposed.
► Three important fractional differential equations are solved successfully.
► Some new exact solutions of the fractional differential equations are obtained.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physics Letters A - Volume 376, Issues 28–29, 4 June 2012, Pages 2045–2048
نویسندگان
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