Analysis of a New Fractional Model for Damped Bergers’ Equation
Singh Jagdev,
Kumar Devendra,
Qurashi Maysaa Al,
Baleanu Dumitru
Affiliations
Singh Jagdev
Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
Kumar Devendra
Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan, India
Qurashi Maysaa Al
Department of Mathematics, College of Science, King Saud University, Riyadh11495, Saudi Arabia
Baleanu Dumitru
Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Eskisehir Yolu 29. Km, Yukariyurtcu Mahallesi Mimar Sinan Caddesi No: 4 06790, Etimesgut, Turkey
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.
