Baleanu, DumitruShiri, B.Srivastava, H. M.Al Qurashi, Maysaa Mohamed2019-12-202019-12-202018-10-04Baleanu, D...et al. (2018). A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel, Advances in Difference Equations.1687-1847http://hdl.handle.net/20.500.12416/2220In this paper, we solve a system of fractional differential equations within a fractional derivative involving the Mittag-Leffler kernel by using the spectral methods. We apply the Chebyshev polynomials as a base and obtain the necessary operational matrix of fractional integral using the Clenshaw-Curtis formula. By applying the operational matrix, we obtain a system of linear algebraic equations. The approximate solution is computed by solving this system. The regularity of the solution investigated and a convergence analysis is provided. Numerical examples are provided to show the effectiveness and efficiency of the method.enginfo:eu-repo/semantics/openAccessSystem of Fractional Differential EquationsChebyshev PolynomialsOperational MatricesMittag-Leffler FunctionClenshaw-Curtis Formulaarticle