This paper intends to obtain accurate and convergent numerical solutions of linear space-time matching telegraph fractional equations by means a double Sumudu transformation method. Moreover, the model is equipped explain work, accuracy sobriety in its presentation method, as result, proposed method shows an effective convenient way, employ proven problems science engineering.

In this article, we investigate the solution of fractional multidimensional Navier–Stokes equation based on Caputo derivative operator. The behavior regarding system using Sumudu transform approach is discussed analytically and further graphically.

and Applied Analysis 3 by considering a general fractional nonlinear nonhomogeneous partial differential equation with the initial condition of the following form: D α t U (x, t) = L (U (x, t)) + N (U (x, t)) + f (x, t) , α > 0, (13) subject to the initial condition D k 0 U (x, 0) = gk, (k = 0, . . . , n − 1) , D n 0 U (x, 0) = 0, n = [α] , (14) where D t denotes without loss of generality the ...

In this work, Sumudu transform is used to establish the solution of a regular fractional continuous-time linear system based on Caputo derivative-integral. First results proposed method are presented and compared existing ones.