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Article Dans Une Revue (Preprint/Prepublication) Communications in Mathematics Année : 2023

A numerical technique for solving variable order time fractional differential-integro equations

Résumé

In this manuscripts, we consider the coupled differential-integral equations including the variable-order Caputo fractional operator. To solve numerically these type of equations, we apply the shifted Jacobi-Gauss collocation scheme. Using this numerical method a system of algebraic equations is constructed. We solve this system with a recursive method in the nonlinear case and we solve it in linear case with algebraic formulas. Finally, for the high performance of the suggested method three Examples are illustrated.
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Dates et versions

hal-03914959 , version 1 (16-01-2023)
hal-03914959 , version 2 (06-02-2023)

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Mohammadhossein Derakhshan. A numerical technique for solving variable order time fractional differential-integro equations. Communications in Mathematics, 2023, Volume 32 (2024), Issue 1, ⟨10.46298/cm.ABCD⟩. ⟨hal-03914959v2⟩

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