The main purpose of this work is to present a new double transform called the ARA-Sumudu (DARA-ST). application some basic functions and master properties are introduced. convolution existence theorems also presented proved. These results implemented obtain solution partial differential equations (PDEs), integral (IEs) functional equations. We formulas for solving families PDEs. latter ones use...

This paper shows how to use the fractional Sumudu homotopy perturbation technique (SHP) with Caputo operator (CF) solve time linear and nonlinear partial differential equations. The transform (ST) (HP) are combined in this approach. In definition, derivative is defined. general, method straightforward execute yields good results. There some examples offered demonstrate technique's validity use.

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 paper, a hybrid technique called the homotopy analysis Sumudu transform method has been implemented solve fractional-order partial differential equations. This is amalgamation of and method. Three examples are considered to validate demonstrate efficacy accuracy present technique. It also demonstrated that results obtained from suggested in excellent agreement with exact solution which ...