Classroom note: Application of the Sumudu transform to discrete dynamic systems

New Results on the Conformable Fractional Sumudu Transform: Theories and Applications

“…In the literature there are several works on the theory and applications of integral transforms such as the Laplace and Sumudu transforms ( [20], [21], [22], [23], [24], [25], [26], [27], [28]) that are widely used in physics, electric circuit theory, astronomy, as well as engineering and sciences. Sumudu transform was introduced by Watugala [20 ] and defined over the following set of functions:…”

“…This transform has many interesting advantages over other integral transforms especially the "unity" feature which could provide convergence when solvimg differential equations and also used to solve problems without resorting to a new frequency domain while for example, Laplace transform must satisfy the Dirichlet condition which is f (x) must be piecewise continuous which means that it must be single valued but can have a finite number of finite isolated discontinuues for x > 0. Also this transform possesses many interesting advantages which make its visualization easier and some of these advantages can be found in ( [20], [21], [22], [23], [24], [25], [26], [27], [28]).…”

“…There are several methods and techniques were applied for obtaining the analytical and numerical solution of such nonlinear and singular fractional differential equations such as the fractional Laplace transform method [19], generalized Kudryashov method [29], Adomian decomposition method ( [30], [31]) and modified Kudryashov method [32]. Note that the fractional order differential equations are now span a half-century or more and play a crucial role in several theoretical and applied sciences such as, but certainly not limited to, theoretical biology and ecology, solid state physics, viscoelasticity, fiber optics, signal processing and electric control theory, stochastic based finance and thermodynamics ([19], 20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32]).…”

On the Solution of Fractional Maxwell Equations by Sumudu Transform

“…For further detail and properties about Sumudu transform (M. A. Asiru, 2001;2002;2003;F. B. M. Belgacem, 2003;M.…”

Transient Solutions of Maxwell's Equations Based on Sumudu Transform

“…Although the mathematical properties of the Sumudu transform have been explored in some details [3][4][5][6][7][8][9][10][11], to the best of our knowledge, no systematic derivation of the Sumudu transform is available in the open literature.…”