JOURNAL ARTICLE

A novel algorithm and its convergence analysis for solving the generalized Abel integral equations through fractional calculus.

  • Published In: Asian-European Journal of Mathematics, 2023, v. 16, n. 9. P. 1 1 of 3

  • Database: Mathematics Source 2 of 3

  • Authored By: Kaafi, S. R.; Hesameddini, E.; Mokhtary, P. 3 of 3

Abstract

This paper concerns a new semi analytical method for approximate solution of the first type generalized Abel integral equations. An especial numerical fractional derivative which is L1 method will be used for solving this kind of equations. Also, existence, uniqueness, convergence and stability of the given scheme will be studied through some theorems and lemmas. Moreover, some numerical examples are presented and the results are compared with their exact solutions and some other numerical methods to illustrate the capability of this algorithm for solving these generalized Abel integral equations. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Asian-European Journal of Mathematics. 2023/09, Vol. 16, Issue 9, p1
  • Document Type:Article
  • Subject Area:History
  • Publication Date:2023
  • ISSN:1793-5571
  • DOI:10.1142/S1793557123501589
  • Accession Number:171392695
  • Copyright Statement:Copyright of Asian-European Journal of Mathematics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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