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A Note on Fractional Sumudu Transform [PDF]

open access: goldJournal of Applied Mathematics, 2010
We propose a new definition of a fractional-order Sumudu transform for fractional differentiable functions. In the development of the definition we use fractional analysis based on the modified Riemann-Liouville derivative that we name the fractional ...
V. G. Gupta   +2 more
doaj   +10 more sources

On Sumudu Transform Method in Discrete Fractional Calculus [PDF]

open access: goldAbstract and Applied Analysis, 2012
In this paper, starting from the definition of the Sumudu transform on a general time scale, we define the generalized discrete Sumudu transform and present some of its basic properties.
Fahd Jarad, Kenan Taş
doaj   +5 more sources

Applications of New Double Integral Transform (Laplace–Sumudu Transform) in Mathematical Physics [PDF]

open access: goldAbstract and Applied Analysis, 2021
The primary purpose of this research is to demonstrate an efficient replacement of double transform called the double Laplace–Sumudu transform (DLST) and prove some related theorems of the new double transform.
Shams A. Ahmed
doaj   +4 more sources

An estimate of Sumudu transforms for Boehmians [PDF]

open access: goldAdvances in Difference Equations, 2013
The space of Boehmians is constructed using an algebraic approach that utilizes convolution and approximate identities or delta sequences. A proper subspace can be identified with the space of distributions. In this paper, we first construct a suitable Boehmian space on which the Sumudu transform can be defined and the function space S can be embedded.
Shrideh Al‐Omari, Adem Kılıçman
core   +7 more sources

Conformable Double Sumudu Transform with Applications [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2021
Recently, a new deformation of the Sumudu transforms namely, conformable Sumudu transform has been introduced. In this article, we generalize the concept of one-dimensional conformable Sumudu transform into two-dimensional conformable Sumudu transform ...
Suliman Alfaqeih   +2 more
doaj   +2 more sources

Solution of Integral Differential Equations by New Double Integral Transform (Laplace–Sumudu Transform) [PDF]

open access: goldAbstract and Applied Analysis, 2020
The primary purpose of this research is to demonstrate an efficient replacement double transform named the Laplace–Sumudu transform (DLST) to unravel integral differential equations.
Shams A. Ahmed   +2 more
doaj   +2 more sources

Analysis of COVID-19 epidemic model with sumudu transform. [PDF]

open access: yesAIMS Public Health, 2022
<abstract> <p>In this paper, we develop a time-fractional order COVID-19 model with effects of disease during quarantine which consists of the system of fractional differential equations. Fractional order COVID-19 model is investigated with ABC technique using sumudu transform.
Farman M, Azeem M, Ahmad MO.
europepmc   +4 more sources

Modified Sumudu Transform and Its Properties

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2021
Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations.
Uğur Duran
doaj   +5 more sources

Degenerate Sumudu transform and its properties

open access: diamondFilomat, 2021
Kim-Kim (Russ. J. Math. Phys. 2017, 24, 241-248) defined the degenerate Laplace transform and investigated some of their certain properties. Motivated by this study, in this paper, we introduce the degenerate Sumudu transform and establish some properties and relations.
Uğur Duran
openalex   +5 more sources

Application of Adomian Decomposition Method for Sumudu Transform

open access: greenNUST Journal of Engineering Sciences, 2008
In this paper, Adomian decomposition method (ADM) is employed to compute Sumudu transform of some typical functions. In this method, the solution is found in the form of a convergent power series with  easily  computed components.
Zafar H. Khan, Rahim Gul, Waqar A. Khan
doaj   +2 more sources

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