Fractional Pantograph Delay Equations Solving by the Meshless Methods

This work describes two efficient and useful methods for solving fractional pantograph delay equations (FPDEs) with initial boundary conditions. These depend mainly on orthogonal polynomials, which are the method of operational matrix derivative that depends Bernstein polynomials Shifted Legendre polynomials. The basic procedure this is to convert equation a system linear by using, matrices we get rid integration differentiation operations, makes problem easier. concept Caputo has been used describe derivatives. Finally, some numerical examples identified show utility capability proposed approaches. Mathematica®12 program relied upon in calculations.