Application of Müntz Orthogonal Functions on the Solution of the Fractional Bagley–Torvik Equation Using Collocation Method with Error Stimate

This paper uses Müntz orthogonal functions to numerically solve the fractional Bagley–Torvik equation with initial and boundary conditions. are defined on interval 0 , 1 have simple distinct real roots this interval. For function id="M2"> f ∈ L 2 open="(" close=")" , we obtain best unique approximation using functions. We Riemann–Liouville integral operator for so that can reduce complexity of calculations increase speed solving problem, which be seen in process running Maple program. To conditions, use consider as collocation points. By define functions, is solved reduced, finally, reach a system algebraic equations. equations obtaining vector unknowns, error value method calculated. The low numerical solution shows high accuracy method. With help bound function. obtained bounds Finally, given example show presented paper. results comparing other methods been used higher proposed