TY - JOUR
TI - Modified Kawahara equation within a fractional derivative with non-singular kernel
AU - Kumar Devendra
AU - Singh Jagdev
AU - Baleanu Dumitru
JN - Thermal Science
PY - 2018
VL - 22
IS - 2
SP - 789
EP - 796
PT - Article
AB - The article addresses a time-fractional modified Kawahara equation through a fractional derivative with exponential kernel. The Kawahara equation describes the generation of non-linear water-waves in the long-wavelength regime. The numerical solution of the fractional model of modified version of Kawahara equation is derived with the help of iterative scheme and the stability of applied technique is established. In order to demonstrate the usability and effectiveness of the new fractional derivative to describe water-waves in the long-wavelength regime, numerical results are presented graphically.