A Hybrid Formulation for Fractional Model of Toda Lattice Equations

In this paper, we present theeffictivness of the proposed analytical algorithim for non-linear time fractional Toda lattice equations. The proposed algorithim is a new amagalation of the homotopy analysis, Laplace transform and Adomian’s polynomials. First, we present an alternative framework of the proposed method, which can be used simply and effectively to handle non-linear problems arising in science and engineering. Camparisons are made between the results of the proposed method and exact solutions. Illustrative example is given to demonstrate the simplicity and efficiency of the proposed amagalation of homotopy analysis, Laplace transform and Adomian’s polynomials. The results reveal that the proposed method isexplicit, efficient and easy to use. The fractional derivatives here are described in Caputo sense.