Analysis of a New Fractional Model for Damped Bergers’ Equation
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 p...
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De Gruyter
2017-03-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2017-0005 |
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doaj-24e080b1fafb4f3dac299837be79d3362021-09-05T13:59:33ZengDe GruyterOpen Physics2391-54712017-03-01151354110.1515/phys-2017-0005phys-2017-0005Analysis of a New Fractional Model for Damped Bergers’ EquationSingh Jagdev0Kumar Devendra1Qurashi Maysaa Al2Baleanu Dumitru3Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, IndiaDepartment of Mathematics, JECRC University, Jaipur-303905, Rajasthan, IndiaDepartment of Mathematics, College of Science, King Saud University, Riyadh11495, Saudi ArabiaDepartment of Mathematics, Faculty of Arts and Sciences, Cankaya University, Eskisehir Yolu 29. Km, Yukariyurtcu Mahallesi Mimar Sinan Caddesi No: 4 06790, Etimesgut, TurkeyIn 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.https://doi.org/10.1515/phys-2017-0005time-fractional damped bergers’ equationnonlinear equationcaputo-fabrizio fractional derivativeiterative methodfixed-point theorem02.30.jr02.30.mv02.30.uu05.45.-a |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Singh Jagdev Kumar Devendra Qurashi Maysaa Al Baleanu Dumitru |
| spellingShingle |
Singh Jagdev Kumar Devendra Qurashi Maysaa Al Baleanu Dumitru Analysis of a New Fractional Model for Damped Bergers’ Equation Open Physics time-fractional damped bergers’ equation nonlinear equation caputo-fabrizio fractional derivative iterative method fixed-point theorem 02.30.jr 02.30.mv 02.30.uu 05.45.-a |
| author_facet |
Singh Jagdev Kumar Devendra Qurashi Maysaa Al Baleanu Dumitru |
| author_sort |
Singh Jagdev |
| title |
Analysis of a New Fractional Model for Damped Bergers’ Equation |
| title_short |
Analysis of a New Fractional Model for Damped Bergers’ Equation |
| title_full |
Analysis of a New Fractional Model for Damped Bergers’ Equation |
| title_fullStr |
Analysis of a New Fractional Model for Damped Bergers’ Equation |
| title_full_unstemmed |
Analysis of a New Fractional Model for Damped Bergers’ Equation |
| title_sort |
analysis of a new fractional model for damped bergers’ equation |
| publisher |
De Gruyter |
| series |
Open Physics |
| issn |
2391-5471 |
| publishDate |
2017-03-01 |
| description |
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. |
| topic |
time-fractional damped bergers’ equation nonlinear equation caputo-fabrizio fractional derivative iterative method fixed-point theorem 02.30.jr 02.30.mv 02.30.uu 05.45.-a |
| url |
https://doi.org/10.1515/phys-2017-0005 |
| work_keys_str_mv |
AT singhjagdev analysisofanewfractionalmodelfordampedbergersequation AT kumardevendra analysisofanewfractionalmodelfordampedbergersequation AT qurashimaysaaal analysisofanewfractionalmodelfordampedbergersequation AT baleanudumitru analysisofanewfractionalmodelfordampedbergersequation |
| _version_ |
1717813371180417024 |