On explicit exact solutions and conservation laws for time fractional variable - coefficient coupled Burger’s equations

Abstract

In this paper, we investigate time fractional variable-coefficient coupled Burger’s equations for admissible form of variable coefficients under the condition of invariance. The reduced form of systems is obtained by using symmetries and Erdélyi–Kober fractional differential operators. Then the exact solutions of the reduced systems are obtained. Besides this, using generalized Noether’s theorem, conservation laws are derived for corresponding fractional system.