Noureddine Bouteraa
abstract:
In this work, we discuss the existence and uniqueness results of a general class
of Zakharov-Kuznetsov-Burgers equation. We suggest the generalization via the
Caputo-Fabrizio fractional derivative. We introduce some conditions for the
existence and uniqueness of solutions and to obtain them, we utilize the concept
of the fixed-point theorem.
Mathematics Subject Classification: 34B10, 34B15
Key words and phrases: Generalized Zakharov-Kuznetsov-Burgers equation, existence, fractional derivative, Banach fixed point