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A new generalized Laplace transform | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 1، دوره 16، شماره 9، آذر 2025، صفحه 1-6 اصل مقاله (334.13 K) | ||
| نوع مقاله: Review articles | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.23852.2636 | ||
| نویسندگان | ||
| Ar Murugan* 1؛ C. Ganesa Moorthy2؛ CT. Ramasamy3 | ||
| 1Department of Mathematics, Government Arts and Science College, (Formerly MKUCC), Eriyodu, Vedasandur-624 702, India | ||
| 2Department of Mathematics, Alagappa University, Karaikudi-630 004, India | ||
| 3Department of Mathematics, Alagappa Government Arts College, Karaikudi-630 003, India | ||
| تاریخ دریافت: 17 تیر 1400، تاریخ بازنگری: 12 مرداد 1400، تاریخ پذیرش: 30 مرداد 1400 | ||
| چکیده | ||
| A new generalized Laplace transform is introduced, which is a common generalization of the Laplace transform, Sumudu transform, ELzaki transform, and a transformation of X. J. Yang. The basic properties of this generalized Laplace transform are derived, so that these properties coincide with the properties of the known transformations mentioned above. | ||
| کلیدواژه‌ها | ||
| Laplace transform؛ Sumudu transform؛ ELzaki transform؛ Convolution | ||
| مراجع | ||
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[1] L. Debnath and D. Bhatta, Integral Transforms and Their Applications, Second Edition, Chapman and Hall/CRC, 2006. [2] T.M. Elzaki, The New integral Transform ”ELzaki Transform”, Glob. J. Pure Appl. Math. 7 (2011), no. 1, 57–64. [3] G.K. Watugala, Sumudu transform: A new integral transform to solve differential equations and control engineering problems, Int. J. Math. Educ. Sci. Technol. 24 (1993), no. 1, 35–43. [4] X-J. Yang, A new integral transform method for solving steady-state heat-transfer problem, Therm. Sci. 20 (2016), no. 3, 639–642. | ||
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