Certain Solutions of Abel’s Integral Equations on Distribution Spaces via Distributional Gα-Transform
Certain Solutions of Abel’s Integral Equations on Distribution Spaces via Distributional Gα-Transform
Abel’s integral equation is an efficient singular integral equation that plays an important role in diverse fields of science. This paper aims to investigate Abel’s integral equation and its solution using Gα-transform, which is a symmetric relation between Laplace and Sumudu transforms. Gα-transform, as defined via distribution space, is employed …