Solution for fractional generalized Zakharov equations with Mittag-Leffler function

Abstract

Abstract The pivotal aim of the present work is to find the solution for fractional generalized Zakharov (FGZ) equations using q -homotopy analysis transform method ( q -HATM). The proposed technique is graceful amalgamations of Laplace transform technique with q -homotopy analysis scheme, and fractional derivative defined with Atangana-Baleanu (AB) operator. The fixed point hypothesis considered in order to demonstrate the existence and uniqueness of the obtained solution for the proposed fractional order model. In order to illustrate and validate the efficiency of the proposed technique, we analysed the projected model in terms of fractional order. Moreover, the physical behaviour of the obtained solution has been captured in terms of plots for diverse fractional order and the numerical simulation is also demonstrated. The obtained results elucidate that, the considered algorithm is easy to implement, highly methodical as well as accurate and very effective to analyse the behaviour of coupled nonlinear differential equations of arbitrary order arisen in the connected areas of science and engineering.