the purpose of this study is to present an approximate numerical method for solving high order linear fredholm-volterra integro-differential equations in terms of rational chebyshev functions under the mixed conditions. the method is based on the approximation by the truncated rational chebyshev series. finally, the effectiveness of the method is illustrated in several numerical examples. the p...

Abstract This study is aimed to investigate the sufficient conditions of existence unique solutions and Ulam–Hyers–Mittag-Leffler (UHML) stability for a tripled system weighted generalized Caputo fractional derivatives investigated by Jarad et al. (Fractals 28:2040011 2020) in frame Chebyshev Bielecki norms with time delay. The acquired results are obtained using Banach fixed point theorems Pic...

In solving semilinear initial boundary value problems with prescribed non-periodic boundary conditions using implicit-explicit and implicit time stepping schemes, both the function and derivatives of the function may need to be computed accurately at each time step. To determine the best Chebyshev collocation method to do this, the accuracy of the real space Chebyshev differentiation, spectral ...