A note on integral transforms and partial differential equations [PDF]
In this study, we apply double integral transforms to solve partial differential equation namely double Laplace and Sumudu transforms, in particular the wave and poisson's equations were solved by double Sumudu transform and the same result can be ...
Kilicman, Adem, Gadain, Hassan Eltayeb
core
On Integral Transforms and Matrix Functions [PDF]
The Sumudu transform of certain elementary matrix functions is obtained. These transforms are then used to solve the differential equation of a general linear conservative vibration system, a vibrating system with a special type of viscous ...
Hassan Eltayeb +2 more
core
Solution of Telegraph Equation by Modified of Double Sumudu Transform "Elzaki Transform" [PDF]
In this paper, we apply modified version of double Sumudu transform which is called double Elzaki transform to solve the general linear telegraph equation.
Elzaki, Tarig. M., Hilal, Eman M. A.
core +1 more source
A Sumudu based algorithm for solving differential equations [PDF]
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 \begin{displaymath}
Jun Zhang
core
Inversion Formulas for the q-Riemann-Liouville and q-Weyl Transforms Using Wavelets [PDF]
Mathematics Subject Classification: 42A38, 42C40, 33D15, 33D60This paper aims to study the q-wavelets and the continuous q-wavelet transforms, associated with the q-Bessel operator for a fixed q ∈]0, 1[.
Binous, Wafa +2 more
core
Advancements in q-Hankel Transforms Based on Certain Approach of Big q-Bessel Functions and Applications [PDF]
This study presents a novel variant of a finite q-Hankel transform derived from big q-Bessel functions and investigates its analytical structure, with particular emphasis on the distribution and properties of its zeros.
Rajagopalan Ramaswamy +2 more
core +1 more source
Theory, methods, and applications of fractional calculus. [PDF]
Atangana A +5 more
europepmc +1 more source
Comparative behavior of steam turbine model for dynamical power system analyses by means of multiple fractional and artificial neural network techniques. [PDF]
Abro KA, Souayeh B, Flah A.
europepmc +1 more source
Duality of Shehu transform with other well known transforms and application to fractional order differential equations. [PDF]
Mlaiki N +4 more
europepmc +1 more source
Applications of the Mittag-Leffler law to linear kinetic models & diffusion equations. [PDF]
Monyayi VT +2 more
europepmc +1 more source

