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Loonker, Deshna
- On Distributional Abel Integral Equation for Distributional Elzaki Transform
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1 Department of Mathematics, Faculty of Science, J. N. V. University, Jodhpur - 342 005, IN
1 Department of Mathematics, Faculty of Science, J. N. V. University, Jodhpur - 342 005, IN
Source
The Journal of the Indian Mathematical Society, Vol 81, No 1-2 (2014), Pagination: 87-96Abstract
In this paper Elzaki transform is defined for distribution spaces. Solution of the Abel integral equation is obtained using distributional Elzaki transform is proved in distributional sense. The fractional integral and derivatives (as form of the integral equation) is also employed on distribution spaces.Keywords
Elzaki Transform, Laplace Transform, Abel Integral Equation, Distribution Spaces, Fractional Integrals and Derivatives.
- Solution of Integral Equations by Dunkl and Distributional Dunkl Transform
Abstract Views :284 |
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Authors
Affiliations
1 Department of Mathematics, J. N. V. University, Jodhpur - 342 005, IN
1 Department of Mathematics, J. N. V. University, Jodhpur - 342 005, IN
Source
The Journal of the Indian Mathematical Society, Vol 85, No 1-2 (2018), Pagination: 132-138Abstract
The paper investigates the Dunkl transform and distributional Dunkl transform and the basic properties as convolution. The integral equations such as Volterra integral equation of first and second kind and Abel integral equation are solved by using dunkl transform. Further, solution obtained is considered in distributional sense by employing integral equations to distribution spaces and as well as using the distributional Dunkl transform for its solution.Keywords
Dunkl Transform, Fourier Transform, Distribution Spaces, Volterra Integral Equation, Fredlom Integral Equation of Convolution Type, Convolution.References
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