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Vol. 10, No. 08 [August 2024]


Paper Title :: The Double ZJ Transform and its Convergence
Author Name :: M. Sc. Zenteno Jiménez José Roberto
Country :: Mexico
Page Number :: 01-08
The following article is a study and application about the double ZJ transform and its convergence to solve Differential Equations and Integral Equations too.
Summary: The article is a study and application about the double ZJ transform its convergence and its properties to solve Differential Equations and Integral Equations.
Keywords: Double Laplace Transform, Double Integral Transform, PDE, IE, Double Sumudu Transform, Double Elzaki Transform, Double ZJ Transform
[1]. Bayan Ghazal, Rania Saadeh , and Abdelilah K. Sedeeg, Solving Partial Integro-Differential Equations via Double Formable Transform
[2]. Belgacem FBM and Karaballi AA (2006). Sumudu transform fundamental properties investigations and applications. International Journal of Stochastic Analysis. 2006: Article ID91083, 23 pages. https://doi.org/10.1155/JAMSA/2006/91083
[3]. Dinesh Thakur, Prakash Chand Thakur Rishi Transform for Solving Second Kind Linear Volterra Integral Equations Quest Journals Journal of Research in Applied Mathematics Volume 8 ~ Issue 7 (2022) pp: 21-27.
[4]. G.A. Coon and D.L. Bernstein, Some Properties of the Double Laplace Transformation, American Mathematical Society, Vol. 74 (1953), pp. 135–176.
[5]. Idrees, M.I., Ahmed, Z., Awais, M. and Perveen, Z. (2018) On the Convergence of Double Elzaki Transform. International Journal of Advanced and Applied Sciences, 5, 19-24. https://doi.org/10.21833/ijaas.2018.06.003

 

Paper Title :: The Double ZJ Transform and Its Application
Author Name :: M. Sc. Zenteno Jiménez José Roberto
Country :: Mexico
Page Number :: 09-14
The following article is a study and application about the double ZJ transform and its application to solve Partial Differential Equations.
Summary: The article is a study and application about the double ZJ transform its application for Partial Differential Equations.
Keywords: Double Laplace Transform, Double Integral Transform, PDE, Double ZJ Transform
[1]. Abaker A. Hassaballa and Yagoub A. Salih, "On Double Elzaki transform and Double Laplace transform," IOSRJournal of mathematics, Volume-11, Issue-1, 35-41, 2015.
[2]. Lokenath Debnath, Bhatta D. Integral Transforms and their Applications, Chapman and Hall/CRC, First Indianedition, 2010.
[3]. Lokenath Debnath, “The double Laplace transforms and their properties with applications to functional, Integral and partial differential equations”, International journal of Comput. Math, Volume-2, 223-241, 2016.
[4]. G.A. Coon and D.L. Bernstein, Some Properties of the Double Laplace Transformation, American Mathematical Society, Vol. 74 (1953), pp. 135–176.
[5]. RanjitDhunde, Applications of Double Laplace Transform to boundary value problem, Journal of Mathematics, volume-9, Issue-2, 57-60, 2013

 

 

 

 

 

 

 

 

 

 

 

 

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