DISTRIBUTIONAL ABEL INTEGRAL EQUATION
AND TARIG TRANSFOR
Deshna Loonker1, P.K. Banerji2
1,2Department of Mathematics
Faculty of Science
J.N.V. University
Jodhpur, 342 005, INDIA
Abstract. In this paper the Tarig transform is defined for certain distribution spaces. Solution of the Abel integral equation is obtained, which is further defined in the sense of distributions. Some examples illustrate the solution of the Abel integral equation using the Tarig transform.
AMS Subject classification: 26A33, 44A99, 44A10, 45E10, 46F12, 46F99
Keywords and phrases: Tarig transform, Laplace transform, Abel integral equation, distribution spaces


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DOI: 10.12732/ijam.v27i3.5

Volume: 27
Issue: 3
Year: 2014