In this paper, a new approach for solving the system of fractional integro-differential equation with weakly singular kernels is introduced. The method based on class symmetric orthogonal polynomials called shifted sixth-kind Chebyshev polynomials. First, operational matrices are constructed, and after that, described. This reduces equations (WSFIDEs) by collocation into algebraic equations. Th...

In this study, a revised version of some numerical methods for class hybrid integro-differential equations with weakly singular kernels (Abel types) is presented. These were developed from first kind originating an aeroelasticity problem. By manipulating the bounds initial conditions random variations, study numerically demonstrated well-posedness properties equations. Finally, assumption separ...

Motivated by the recent interest in generalized fractional order operators and their applications, we consider some classes of integro-differential initial value problems based on derivatives Riemann–Liouville Caputo form, but with non-singular kernels. We show that, general, solutions to these possess discontinuities at origin. also how can be re-formulated provide that are continuous origin t...