Numerical Investigation of Fredholm Fractional Integro-differential Equations by Least Squares Method and Compact Combination of Shifted Chebyshev Polynomials

Abstract In this study, linear Fredholm fractional integro-differential equations (FIDEs) are numerically solved, where the derivative is considered in Caputo sense. work, least squares method (LSM) using a compact combination of shifted Chebyshev polynomials (SCP) first Kind applied to solving class FIDEs. Our aim write unknown function as series SCP, and then reduce problem system algebraic equations, which will be solved for constants associated with approximate solution, MATLAB R2020a. Finally, numerical examples presented confirm reliability, applicability, efficiency method, addition, various comparisons also shown.