Shiri, B.Srivastava, H. M.Al Qurashi, M.Baleanu, D.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2019-12-202025-09-182019-12-202025-09-182018Baleanu, 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.1687-1847https://doi.org/10.1186/s13662-018-1822-5https://hdl.handle.net/123456789/11814Shiri, Babak/0000-0003-2249-282XIn 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.eninfo:eu-repo/semantics/openAccessChebyshev PolynomialsSystem Of Fractional Differential EquationsOperational MatricesMittag-Leffler FunctionClenshaw-Curtis FormulaArticle10.1186/s13662-018-1822-52-s2.0-85054485351