Various Approaches for Generalized Integral Transforms
1Kyungdong University, Yangju, Republic of Korea
2Vedant College of Engineering & Technology - Rajasthan Technical University, Bundi, India
3Dankook University, Cheonan, Republic of Korea
Various Approaches for Generalized Integral Transforms
Description
In mathematics, an integral transform maps an equation from its original domain into another domain where it might be manipulated and solved much more easily. The method of integral transforms is a tool to solve ordinary differential equations (ODEs), and a way to find analytical solutions of partial differential equations (PDEs). Furthermore, it gives a very reasonable tool in solving engineering and applied science problems such as electrical networks, signal processing, medical imaging, fluid flow, elasticity, statics and dynamics, and spring systems, etc.
The aim of this Special Issue is to address some of the new and interesting engineering and applied science research problems in this field. We welcome research papers on generalized integral transforms, and also review articles describing the latest research trends.
Potential topics include but are not limited to the following:
- New results on generalized Integral transform
- Laplace transforms, Fourier transforms, fractional Fourier transforms, linear canonical transforms, Riesz transforms, etc.
- Wavelet transforms and curvelet transforms
- Hypercomplex generalizations of integral transforms to complex vector spaces, quaternions, octonions, and Clifford algebra
- Applications to Artificial Intelligence
- Applications in Engineering
- Integral transforms involving hypergeometric functions
- Numerical methods and implementations involving integral transforms