A numerical technique for solving variable order time fractional differential-integro equationsArticleAuthors: Mohammadhossein Derakhshan
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0000-0001-6464-7338
Mohammadhossein Derakhshan
- 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.
Volume: Volume 32 (2024), Issue 1
Published on: February 7, 2023
Accepted on: January 17, 2023
Submitted on: January 17, 2023
Keywords: 26A33,35R11, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], [en] 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