Laplace Transform for the Solution of Abel’s Integral Equation

Authors

  • Dr. Nidhi Sharma Assistant Professor, Department of Mathematics, Noida Institute of Engineering & Technology, Greater Noida, U.P., India.
  • Sudhanshu Aggarwal Assistant Professor, Department of Mathematics, National Post Graduate College Barhalganj, Gorakhpur, U.P., India.

Keywords:

Abel’s Integral Equation, Laplace Transforms, Inverse Laplace Transform, Convolution Theorem

Abstract

Abel’s Integral Equation is an important singular Integral Equation and generally appears in many branches of sciences such as atomic scattering, mechanics, radio astronomy, physics, electron emission, X-ray radiography and seismology. In this paper, authors discussed the Laplace transform for the solution of Abel’s Integral Equation and some numerical applications in application section are given to demonstrate the effectiveness of Laplace transform for the solution of Abel’s Integral Equation.

How to cite this article:
Sharma N, Aggarwal S. Laplace Transform for the Solution of Abel’s Integral Equation. J Adv Res Appl Math Stat 2019; 4(3&4): 8-15.

Published

2019-11-25

Issue

Vol. 4 No. 3&4 (2019): Journal of Advanced Research in Applied Mathematics and Statistics

Section

Research Article