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Title
The existence and numerical solution for a k-dimensional system of multi-term fractional integro-differential equations
Type of Research Article
Keywords
Chebyshev polynomials, fixed point, Legendre polynomials, numerical solution, k-dimensional system of multi-term fractional differential equations.
Abstract
First, we investigate the existence and uniqueness of solution for a k-dimensional system of multi-term fractional integro-differential equations. Also, we apply shifted Chebyshev and shifted Legendre polynomials to obtain an approximation solution for the k-dimensional system. Finally, we provide some examples illustrating the presented methods.
Researchers Manuel De La Sen (First Researcher)، Vahid Hedayati (Second Researcher)، Yasser Gholizade Atani (Third Researcher)، Shahram Rezapour (Fourth Researcher)