On integral transforms and matrix functions

QR Code

On integral transforms and matrix functions

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 damping.

Bibliographic Details
Main Authors:	Eltayeb, Hassan, Kilicman, Adem, Agarwal, Ravi P.
Format:	Article
Language:	English
Published:	Hindawi Publishing Corporation 2011
Online Access:	http://psasir.upm.edu.my/id/eprint/25198/ http://psasir.upm.edu.my/id/eprint/25198/1/25198.pdf

Similar Items

On Sumudu transform and system of differential equations
by: Kilicman, Adem, et al.
Published: (2010)

Integral transforms and partial differential equations
by: Kilicman, Adem, et al.
Published: (2009)

On a new integral transform and differential equations.
by: Kilicman, Adem, et al.
Published: (2010)

On some applications of a new integral transform.
by: Eltayeb, Hassan, et al.
Published: (2010)

A note on integral transform and system of differential equations
by: Eltayeb, Hassan, et al.
Published: (2009)

A note on integral transforms and partial differential equations
by: Kilicman, Adem, et al.
Published: (2010)

A new integral transform and associated distributions
by: Eltayeb, Hassan, et al.
Published: (2010)

On double Sumudu transform and double Laplace transform
by: Eltayeb, Hassan, et al.
Published: (2010)

A note on integral transforms and differential equations
by: Kilicman, Adem, et al.
Published: (2012)

An application of double Laplace transform and double Sumudu transform
by: Kilicman, Adem, et al.
Published: (2009)

A note on the Sumudu transforms and differential equations
by: Eltayeb, Hassan, et al.
Published: (2010)

A note on double Laplace transform and telegraphic equations
by: Eltayeb, Hassan, et al.
Published: (2013)

Some remarks on the Sumudu and Laplace transforms and applications to differential equations
by: Kilicman, Adem, et al.
Published: (2012)

Certain generalized fractional calculus formulas and integral transforms involving (p,q)-Mathieu-type series
by: Agarwal, Ravi P., et al.
Published: (2019)

A note on solutions of wave, Laplace’s and heat equations with convolution terms by using a double Laplace transform
by: Eltayeb, Hassan, et al.
Published: (2008)

Exact evaluation of infinite series using double Laplace transform technique
by: Eltayeb, Hassan, et al.
Published: (2014)

On solutions of matrix initial value problems by using differential transform method and convolution
by: Altun, Omer, et al.
Published: (2013)

On conformable double Laplace transform and one dimensional fractional coupled Burgers' equation
by: Eltayeb, Hassan, et al.
Published: (2019)

A note on a singular coupled burgers equation and double laplace transform method
by: Kilicman, Adem, et al.
Published: (2018)

Matrix transformations of Norlund–Orlicz difference sequence spaces of nonabsolute type and their Toeplitz duals
by: Kilicman, Adem, et al.
Published: (2020)

A note on the comparison between laplace and Sumudu transforms.
by: Kilicman, Adem, et al.
Published: (2011)

On modified Mellin transform of generalized functions
by: Al-Omari, Shrideh Khalaf Qasem, et al.
Published: (2013)

A note on double conformable Laplace transform method and singular one dimensional conformable pseudohyperbolic equations
by: Eltayeb, Hassan, et al.
Published: (2019)

Unified treatment of the Krätzel transformation for generalized functions
by: Al-Omari, Shrideh Khalaf Qasem, et al.
Published: (2013)

A new integral transform on time scales and its applications.
by: Ahmed Agwa, Hassan, et al.
Published: (2012)

Solution of second-order IVP and BVP of matrix differential models using matrix DTM
by: Abazari, Reza, et al.
Published: (2012)

Note on the wave equation and tensor products.
by: Kilicman, Adem, et al.
Published: (2011)

On finite products of convolutions and classifications of hyperbolic and elliptic equations.
by: Kilicman, Adem, et al.
Published: (2011)

On the partial differential equations with non-constant coefficients and convolution method.
by: Kilicman, Adem, et al.
Published: (2010)

A note on the classifications of hyperbolic and elliptic equations with polynomial coefficients
by: Kilicman, Adem, et al.
Published: (2008)

Note on partial differential equations with non-constant coefficients and convolution method
by: Kilicman, Adem, et al.
Published: (2012)

On the exponential Radon transform and its extension to certain functions spaces
by: Al-Omari, Shrideh Khalaf Qasem, et al.
Published: (2014)

Integral majorization theorem for invex functions
by: Khan, Muhammad Adil, et al.
Published: (2014)

A novel integral operator transform and its application to some FODE and FPDE with some kind of singularities
by: Atangana, Abdon, et al.
Published: (2013)

Some generalized Hermite-Hadamardtype integral inequalities for generalizeds-convex functions on fractal sets
by: Kilicman, Adem, et al.
Published: (2015)

Combination of integral and projected differential transform methods for time-fractional gas dynamics equations
by: Kilicman, Adem, et al.
Published: (2018)

On finite product Of convolutions and classifications of hyperbolic and elliptic equations.
by: Kilicman, Adem, et al.
Published: (2011)

A class of double integrals involving Gauss's hypergeometric function
by: S., Jun, et al.
Published: (2020)

Mathematical modeling with generalized function
by: Kilicman, Adem
Published: (2011)

On convergents infinite products and some generalized inverses of matrix sequences
by: Kilicman, Adem, et al.
Published: (2011)