The cotangent fractional Cauchy problem: analysis and numerical method

Document Type : Research Paper

Authors

1 LabSIPE, National School of Applied Sciences of El Jadida, Chouaib Doukkali University, El Jadida, Morocco.

2 Department of Mathematics, Faculty of Sciences and Technology, BP 34. Ajdir 32003 Al-Hoceima, Abdelmalek Essaadi University, Tetouan, Morocco.

Abstract

This article will address the resolution of a new Cauchy problem: The cotangent fractional Cauchy problem (CF-CP). First, we will conduct a theoretical study on existence and uniqueness using the fractional Gronwall inequality. Next, we will formulate a decomposition formula for the CF-CP. Moreover, we present a numerical method for solving the CF-CP. Finally, we will present numerical results to verify the reliability of the proposed numerical method and validate the stability

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Main Subjects



Articles in Press, Accepted Manuscript
Available Online from 17 October 2025
  • Receive Date: 30 August 2024
  • Revise Date: 06 June 2025
  • Accept Date: 15 October 2025