In this paper, a fractional complex transform (FCT) is used to convert the given fractional partial differential equations (FPDEs) into corresponding partial differential equations (PDEs) and subsequently Reduced Differential Transform Method (RDTM) is applied on the transformed system of linear and nonlinear time-fractional PDEs. The results so obtained are re-stated by making use of inverse t...

Abstract: In this paper, differential transform method (DTM) is applied to the sine-Gordon equation which arise in differential geometry, propagation of magnetic flux, stability of fluid motions, nonlinear physics and applied sciences. The method can easily be applied to many linear and non-linear problems and is capable of reducing the size of computational task. Exact solutions can also be ac...

In this paper, we study the stability of n-dimensional linear fractional neutral differential equation with time delays. By using the Laplace transform, we introduce a characteristic equation for the above system with multiple time delays. We discover that if all roots of the characteristic equation have negative parts, then the equilibrium of the above linear system with fractional order is Ly...

We show that the differential transform is well known Taylor series (contrary to what authors claim) and method (DTM) Frobenius method, commonly used obtain exact or approximate solutions equations. The generalized (GTM) merely application of Padé approximants produced by method. argue particular differential-difference nonlinear equations are scarce utility because initial conditions not flexi...