10.57647/mathsci.2025.1901.05

Numerical Solution of Fractional Partial Integro-differential Equations with Weakly Singular Kernel Based on the Sinc Basis

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  • Soheila Moosavipour1,
  • Mohammad Ali Fariborzi Araghi*2,
  • Fatemeh Kiany1,
  • Atefeh Fahim3,
  • Mahmood Alizadeh1,
  1. Department of Mathematics, Ahv.C., Islamic Azad University, Ahvaz, Iran
  2. Department of Mathematics, CT.C., Islamic Azad University, Tehran, Iran
  3. Department of Mathematics, Dez.C., Islamic Azad University, Dezful, Iran

Received: 2025-02-05

Revised: 2025-03-16

Accepted: 2025-03-25

Published in Issue 2025-03-31

Copyright (c) 2025 Soheila Moosavipour, Mohammad Ali Fariborzi Araghi, Fatemeh Kiany, Atefeh Fahim, Mahmood Alizadeh (Author)

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Moosavipour, S., Fariborzi Araghi, M. A., Kiany, F., Fahim, A., & Alizadeh, M. (2025). Numerical Solution of Fractional Partial Integro-differential Equations with Weakly Singular Kernel Based on the Sinc Basis. Mathematical Sciences, 19(1 (March 2025). https://doi.org/10.57647/mathsci.2025.1901.05
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Abstract

This paper is concerned with obtaining approximate numerical solutions of a class of fractional partial integro-differential equations with weakly singular kernel by Sinc bases. For this purpose, a local Sinc method based on single exponential (SE) and the finite differences in combination with the trapezoidal integration rule are used to break down the location and the timeframe, respectively. The convergence analysis of the proposed method is taken into consideration and the same numerical examples are given to verify the theoretical results.

Keywords

  • Sinc collocation method,
  • Finite differences method,
  • Product trapezoidal integration rule,
  • Convergence,
  • Weakly singular kernel,
  • Fractional partial integro-differential equations (FPIDE)
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