An Efficient Numerical Scheme for Solving Multiorder Tempered Fractional Differential Equations via Operational Matrix

In this paper, we extend the operational matrix method to solve tempered fractional differential equation, via shifted Legendre polynomial. Although is widely used in solving various calculus problems, it yet apply equations defined derivatives. We first derive analytical expression for derivative x p , hence, using new of derivative. By a few terms polynomial and collocation scheme, were able obtain good approximation solution multiorder equation. illustrate some numerical examples.