Analysis of a New Fractional Model for Damped Bergers’ Equation
| Autor: | Maysaa Mohamed Al Qurashi, Dumitru Baleanu, Jagdev Singh, Devendra Kumar |
|---|---|
| Rok vydání: | 2017 |
| Předmět: |
Iterative method
Physics QC1-999 fixed-point theorem General Physics and Astronomy Fixed-point theorem Fractional model 05.45.-a 02.30.uu 01 natural sciences caputo-fabrizio fractional derivative 010305 fluids & plasmas Nonlinear system 02.30.mv iterative method 02.30.jr 0103 physical sciences time-fractional damped bergers’ equation Applied mathematics nonlinear equation 010306 general physics Mathematics |
| Zdroj: | Open Physics, Vol 15, Iss 1, Pp 35-41 (2017) |
| ISSN: | 2391-5471 |
| DOI: | 10.1515/phys-2017-0005 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|