The Journal of the Indian Mathematical Society

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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, India
     

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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.
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  • On Distributional Abel Integral Equation for Distributional Elzaki Transform

Abstract Views: 191  |  PDF Views: 0

Authors

Deshna Loonker
Department of Mathematics, Faculty of Science, J. N. V. University, Jodhpur - 342 005, India
P. K. Banerji
Department of Mathematics, Faculty of Science, J. N. V. University, Jodhpur - 342 005, India

Abstract


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.