Modified Sumudu Transform and Its Properties

A Note on Fractional Sumudu Transform

We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional Sumudu transform. We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional S...

On Sumudu Transform and System of Differential Equations

and Applied Analysis 3 For each complex number x,ΨP x define a linear mapping of C|N| into C. If anyNj is zero, Ψ i,j P is the empty matrix for all i and the corresponding column of matrices in ΨP is absent. If Nj 0 for all j,ΨP x is defined to be the unique linear mapping of {0} C0 into C; its matrix representation is then the empty matrix. In particular consider ΨP x ( x4 2x2 1 − 2x 3x4 2x 4x3 )

Some Remarks on the Fractional Sumudu Transform and Applications

In this work we study fractional order Sumudu transform. In the development of the definition we use fractional analysis based on the modified Riemann Liouville derivative, then we name the fractional Sumudu transform. We also establish a relationship between fractional Laplace and Sumudu via duality with complex inversion formula for fractional Sumudu transform and apply new definition to solv...

Homotopy Analysis Sumudu Transform Method for Nonlinear Equations

Homotopy Perturbation Sumudu Transform Method for Nonlinear Equations

In this paper, we propose a combined form of the sumudu transform method with the homotopy perturbation method to solve nonlinear equations. This method is called the homotopy perturbation sumudu transform method (HPSTM). The nonlinear terms can be easily handled by the use of He’s polynomials. The proposed scheme finds the solution without any discretization or restrictive assumptions and avoi...