New Integral Transform: Shehu Transform a Generalization of Sumudu and Laplace Transform for Solving Differential Equations
By Shehu Maitama, Weidong Zhao. International Journal of Analysis and Applications, 2019
141 citations recorded by the source corpus.
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.
Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/9a17cb7c4711bdb3fcdfac5764de12b3c7e8a268
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In Modeling and Simulation
- Rachid Belgacem
- Ahmed Bokhari
- Dumitru Băleanu
- Thabet Abdeljawad
- Arran Fernandez
- Amin Jajarmi
- Mehmet Yavuz
- Pshtiwan Othman Mohammed
In Numerical Analysis
- Rachid Belgacem
- Ahmed Bokhari
- Dumitru Băleanu
- Arran Fernandez
- Thabet Abdeljawad
- Pshtiwan Othman Mohammed
- Mehmet Yavuz
- Amin Jajarmi
In Statistical and Nonlinear Physics
- Rachid Belgacem
- Dumitru Băleanu
- Ahmed Bokhari
- Guo-cheng Wu
- Thabet Abdeljawad
- Delfim F. M. Torres
- Om Prakash Agrawal
Citations in the corpus
- Shehu Transform and Applications to Caputo-Fractional Differential Equations (2019, methodology): “The authors have used it to solve ordinary and partial differential equations [16].”
- Application of Shehu transform to Atangana-Baleanu derivatives (2019, methodology): “The Shehu transform is obtained over the set A by [10]:”