In the present article, we related the analytical solution of the fractional-order dispersive
partial differential equations, using the Laplace–Adomian decomposition method. The …

The analysis of Homotopy Perturbation Method (HPM) for the solution of fractional partial
differential equations (FPDEs) is presented. A unified convergence theorem is given. In …

This paper introduces an efficient fractional differential transform that is called “conformable
fractional partial differential transform (CFPDT)” and its properties for solving linear and …

The present study examines the nonlinear time-fractional model in the sense of a solitonic
structure. A non-linear Schrödinger equation has applications in light scattering, indirect …

The Kortweg–de Vries equations play an important role to model different physical
phenomena in nature. In this research article, we have investigated the analytical solution to …

In the present article, fractional-order telegraph equations are solved by using the Laplace-
Adomian decomposition method. The Caputo operator is used to define the fractional …

The main features of scientific efforts in physics and engineering are the development of
models for various physical issues and the development of solutions. In order to solve the …

The Riemann wave equation and the Novikov-Veselov equation are interesting nonlinear
equations in the sphere of tidal and tsunami waves in ocean, river, ion and magneto-sound …

The aim of the study is to analyze space-time fractional multidimensional telegraph equation
using a generalized transform method. Fractional derivative are considered in Liouville …

This study presents a fractional mathematical model based on nonlinear Partial Differential
Equations (PDEs) of fractional variable-order derivatives for the host populations …