Analysis of a New Fractional Model for Damped Bergers' Equation

作者：Singh Jagdev^*; Kumar Devendra; Al Qurashi Maysaa; Baleanu Dumitru

来源：Open Physics, 2017, 15(1): 35-41.

DOI：10.1515/phys-2017-0005

• Time-fractional damped Bergers' equation
• Nonlinear equation
• Caputo-Fabrizio fractional derivative
• Iterative method
• Fixed-point theorem

In this article, we present a fractional model of the damped Bergers' equation associated with the Caputo-Fabrizio fractional derivative. The numerical solution is derived by using the concept of an iterative method. The stability of the applied method is proved by employing the postulate of fixed point. To demonstrate the effectiveness of the used fractional derivative and the iterative method, numerical results are given for distinct values of the order of the fractional derivative.

• 出版日期2017-1