New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations
In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is successfully derived from the classical Fouri...
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| Published in | International journal of analysis and applications Vol. 17; no. 2; pp. 167 - 190 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Etamaths Publishing
01.01.2019
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| Online Access | Get full text |
| ISSN | 2291-8639 2291-8639 |
| DOI | 10.28924/2291-8639-17-2019-167 |
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| Abstract | In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is successfully derived from the classical Fourier integral transform and is applied to both ordinary and partial differential equations to show its simplicity, efficiency, and the high accuracy. |
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| AbstractList | In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is successfully derived from the classical Fourier integral transform and is applied to both ordinary and partial differential equations to show its simplicity, efficiency, and the high accuracy. |
| Author | Shehu Maitama Weidong Zhao |
| Author_xml | – sequence: 1 fullname: Shehu Maitama organization: Shandong University – sequence: 2 fullname: Weidong Zhao organization: Shandong University |
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| Title | New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations |
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