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

cm:10822 - Communications in Mathematics, February 7, 2023, Volume 32 (2024), Issue 1 - https://doi.org/10.46298/cm.10822
A numerical technique for solving variable order time fractional differential-integro equations

Authors: Mohammadhossein Derakhshan ORCID-iD1

  • 1 Zand institute of higher education, faculty of technology and engineering, Shiraz, Iran

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.

https://doi.org/10.46298/cm.10822
Source: HAL:hal-03914959v2
Volume: Volume 32 (2024), Issue 1
Published on: February 7, 2023
Accepted on: January 17, 2023
Submitted on: January 17, 2023
Keywords: Coupled differential-integral equation,Caputo fractional operator,Shifted fractional Jacobi collocation method,Variable-order,Coupled differential-integral equation Caputo fractional operator Shifted fractional Jacobi collocation method Variable-order. Mathematics Subject Classification: 26A33,34A08,Variable-order. Mathematics Subject Classification: 26A33,26A33,35R11,[MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP]

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