In this paper, we introduce a new approach to solving fractional initial and boundary value problems involving heat equation, wave telegraph equation by modifying the double Sumudu transform of type. We discuss modified conformable together with conditions for its existence. addition, prove some more properties fractional-type transform, including convolution other properties, which are well kn...

and Applied Analysis 3 4. Solution by Homotopy Perturbation Sumudu Transform Method (HPSTM) 4.1. Basic Idea of HPSTM. To illustrate the basic idea of this method, we consider a general fractional nonlinear nonhomogeneous partial differential equationwith the initial condition of the form D α t U (x, t) + RU (x, t) + NU (x, t) = g (x, t) , (11) U (x, 0) = f (x) , (12) where Dα t U(x, t) is the C...

An algorithm based on Sumudu transform is developed. The algorithm can be implemented in computer algebra systems like Maple. It can be used to solve differential equations of the following form automatically without human interaction

In this paper, we use Sumudu Decomposition Method (SDM) ,which is combination of the Sumudu transform method and Adomian Decomposition Method, to obtain the approximate solutions of nonlinear systems of ordinary differential equations, particularly predator-prey systems. We can easily decompose the nonlinear terms by the help of Adomian polynomials. This technique provides a sequence of functio...

In this paper, Sumudu decomposition method is applied to solve various forms of linear and nonlinear KleinGordon equations. The technique is a combined form of the Sumudu transform method and the Adomian decomposition method. The nonlinear term can easily be handled with the help of Adomian polynomials which is considered to be a clear advantage of this technique. We illustrate this technique w...

The fundamental purpose of this paper is to propose a new Laplace-type integral transform (NL-TIT) for solving steady heat-transfer problems. proposed generalization the Sumudu, and Laplace transforms its visualization more comfortable than Sumudu transform, natural Elzaki transform. suggested used solve problems, results are compared with existing techniques.

In this paper, we propose a new numerical algorithm, namely q-homotopy analysis Sumudu transform method (q-HASTM), to obtain the approximate solution for the nonlinear fractional dynamical model of interpersonal and romantic relationships. The suggested algorithm examines the dynamics of love affairs between couples. The q-HASTM is a creative combination of Sumudu transform technique, q-homotop...

In this paper a closed form solution of a fractional integro-differential equation of Volterra type involving Mittag-Leffler function has been obtained using straight forward technique of Sumudu transform. Some particular cases have also been considered.