Some remarks on the Sumudu and Laplace transforms and applications to differential equations

DOI10.5402/2012/591517zbMath1264.44001OpenAlexW2025381148WikidataQ58691343 ScholiaQ58691343MaRDI QIDQ1954405

Hassan Eltayeb, Adem Kilicman

Publication date: 11 June 2013

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/591517

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Linear ordinary differential equations and systems (34A30) Laplace transform (44A10)

Related Items (7)

Computable solution of fractional kinetic equations using Mathieu-type series ⋮ Analytic and approximate solutions of the space-time fractional Schrödinger equations by homotopy perturbation Sumudu transform method ⋮ On double Natural transform and its applications ⋮ Quasi associated continued fractions and Hankel determinants of Dixon elliptic functions via Sumudu transform ⋮ Solution of fractional kinetic equations associated with the \((p, q)\)-Mathieu-type series ⋮ Applications of Sumudu transform of two variable functions with Hermite polynomial to partial differential equations ⋮ On uniqueness of l-sharing of differential polynomials of meromorphic functions

Cites Work

• An application of double Laplace transform and double Sumudu transform
• On Sumudu transform and system of differential equations
• A Sumudu based algorithm for solving differential equations
• Analytical investigations of the Sudumu transform and applications to integral production equations
• On the applications of Laplace and Sumudu transforms
• Sumudu transform and the solution of integral equations of convolution type
• Further properties of the Sumudu transform and its applications
• A new integral transform and associated distributions
• Sumudu transform: a new integral transform to solve differential equations and control engineering problems
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