In this article, we also introduced two well-known computational techniques for solving the time-fractional Fornberg–Whitham equations. The methods suggested are modified form of variational iteration and Adomian decomposition by ?-Laplace. Furthermore, an illustrative scheme is to verify accuracy available methods. graphical representation exact derived results presented show approaches reliab...

Traditional Adomian decomposition method (ADM) usually fails to solve singular initial value problems of Emden-Fowler type. To overcome this shortcoming, a new and effective modification of ADM that only requires calculation of the first Adomian polynomial is formally proposed in the present paper. Three singular initial value problems of Emden-Fowler type with , 1 α  , 2 and , 2  and have be...

In this article, the author has used fractional calculus to explain the wave nature of heat propagation as well as heat conduction at molecular level with dual phase lag; in this row he proposed dual phase lag heat equation of fractional order. Modified Adomian Decomposition Method and New Iterative Method are applied to obtain the approximate analytical solutions of the proposed model. Numeric...

The problem of prey and predator is solved by the differential transformation method (DTM). Numerical comparisons with Adomian decomposition method (ADM) and power series method are presented.

In this study, we constructed and analysed a mathematical model of COVID-19 in order to comprehend the transmission dynamics disease. The reproduction number (RC) was calculated via next generation matrix method. We also used Lyaponuv method show global stability both disease free endemic equilibrium points. results showed that disease-free point is globally asymptotically stable if RC > 1. fur...