A polynomial collocation method for a class of singular fractional differential equations

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Abstract

In this work we consider a class of singular fractional differential equations (SFDEs). Using a suitable variable transformation we rewrite the SFDE as a cordial Volterra integral equation and propose a polynomial collocation method to find an approximate solution of the original problem. We provide the error analysis of the numerical method and we illustrate its feasibility and accuracy through some numerical examples.

Original languageEnglish
Pages (from-to)45-57
Number of pages13
JournalApplied Numerical Mathematics
Volume207
DOIs
Publication statusPublished - Jan 2025

Keywords

  • Cordial Volterra operators
  • Fractional differential equations
  • Polynomial collocation

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