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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| Format: | Article |
| Language: | English |
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Qom University of Technology
2025-06-01
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| Series: | Mathematics and Computational Sciences |
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| Online Access: | https://mcs.qut.ac.ir/article_721562_0824fdf6ae6482461294f55ecbe8e65c.pdf |
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| author | Mohammed Yasser Hassan Jassim |
| author_facet | Mohammed Yasser Hassan Jassim |
| author_sort | Mohammed Yasser |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c7531aad03e749eaba1b60763536db4e |
| institution | DOAJ |
| issn | 2717-2708 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj-art-c7531aad03e749eaba1b60763536db4e2025-08-20T03:17:40ZengQom University of TechnologyMathematics and Computational Sciences2717-27082025-06-0162324210.30511/mcs.2025.2045547.1254721562A New Integral Transform for Solving Integral and Ordinary Differential EquationsMohammed Yasser0Hassan Jassim1Department of mathematics, Faculty of pure Sciences, University of Thi Qar, Naseryah, Iraq.Department of mathematics, Faculty of pure Sciences, University of Thi Qar, Naseryah, IraqIn 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.https://mcs.qut.ac.ir/article_721562_0824fdf6ae6482461294f55ecbe8e65c.pdfintegral transformlinear differential equationintegral equationvoltera equationvoltera-integro equation |
| spellingShingle | Mohammed Yasser Hassan Jassim A New Integral Transform for Solving Integral and Ordinary Differential Equations Mathematics and Computational Sciences integral transform linear differential equation integral equation voltera equation voltera-integro equation |
| title | A New Integral Transform for Solving Integral and Ordinary Differential Equations |
| title_full | A New Integral Transform for Solving Integral and Ordinary Differential Equations |
| title_fullStr | A New Integral Transform for Solving Integral and Ordinary Differential Equations |
| title_full_unstemmed | A New Integral Transform for Solving Integral and Ordinary Differential Equations |
| title_short | A New Integral Transform for Solving Integral and Ordinary Differential Equations |
| title_sort | new integral transform for solving integral and ordinary differential equations |
| topic | integral transform linear differential equation integral equation voltera equation voltera-integro equation |
| url | https://mcs.qut.ac.ir/article_721562_0824fdf6ae6482461294f55ecbe8e65c.pdf |
| work_keys_str_mv | AT mohammedyasser anewintegraltransformforsolvingintegralandordinarydifferentialequations AT hassanjassim anewintegraltransformforsolvingintegralandordinarydifferentialequations AT mohammedyasser newintegraltransformforsolvingintegralandordinarydifferentialequations AT hassanjassim newintegraltransformforsolvingintegralandordinarydifferentialequations |