Solution of Abel's Integral Equation By Using Sawi Integral Transform

Authors

  • Hanan A. Maity Department of Mathematics, Faculty of Arts and Sciences-Al-Marj, Benghazi University,Libya
  • Eman A. Maity Department of Mathematics, Faculty of Education Almarj, Benghazi University, Libya

DOI:

https://doi.org/10.37375/bsj.v7i20.3650

Keywords:

Abel's Integral Equation, Convolution, Sawi Transformation, Inverse Sawi Transformation

Abstract

In this work, we introduce a new application for solving a singular integral equation; specifically, Abel's integral equation of the first type using Sawi integral transform. We provide a number of examples of demonstrate the effectiveness of the suggested approach. Results indicate that, the Sawi integral transformation is a very helpful and efficient integration tool for solving and simplifying this type of integral equation.

 

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Published

2025-11-18

How to Cite

A. Maity, H., & A. Maity, E. (2025). Solution of Abel’s Integral Equation By Using Sawi Integral Transform. Albayan Scientific Journal, 7(20), 393–400. https://doi.org/10.37375/bsj.v7i20.3650