New exact optical soliton solutions for the General Modified fractional
Degasperis-Procesi-Camassa-Holm equations with a truncated M-fractional
derivative
- Hadi Rezazadeh,
- amin gholami davoodi,
- S. Mirhosseini-Alizamin,
- mostafa Khater,
- Raghda Attia
Abstract
In this work, we implement some analytical techniques such as
Exp--Function method, Tan and Tanh methods, Extended Tan and Tanh
methods, and Sech method for solving the fractional nonlinear partial
differential equation with a truncated M-fractional derivative, which
contain exponential terms its name, General Modified fractional
Degasperis-Procesi-Camassa-Holm equation with a truncated M-fractional
derivative. These methods can be used as an alternative to obtain exact
solutions of different types of differential equations applied in
engineering mathematics. Finally, we obtain the analytical solution of
the M-fractional heat equation and present a graphical analysis.