A New Integral Transform for Solving Integral and Ordinary Differential Equations
In this research paper, we introduce a new transform belonging to the class of Laplace transforms, called the Yasser-Jassim Transform (YJ Transform). We explore its properties and compare it to the classical Laplace transform. Furthermore, we provide proofs for the key properties associated with thi...
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| Main Authors: | , |
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| פורמט: | Article |
| שפה: | אנגלית |
| יצא לאור: |
Qom University of Technology
2025-06-01
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| סדרה: | Mathematics and Computational Sciences |
| נושאים: | |
| גישה מקוונת: | https://mcs.qut.ac.ir/article_721562_0824fdf6ae6482461294f55ecbe8e65c.pdf |
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| סיכום: | In this research paper, we introduce a new transform belonging to the class of Laplace transforms, called the Yasser-Jassim Transform (YJ Transform). We explore its properties and compare it to the classical Laplace transform. Furthermore, we provide proofs for the key properties associated with this transform and demonstrate its application in solving differential and integral equations. By employing this new transform, we can reduce the original problem to an algebraic equation that can be solved directly, followed by applying the inverse transform to obtain the solution to the original problem. |
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| ISSN: | 2717-2708 |