A Novel Numerical Approach in Solving Fractional Neutral Pantograph Equations via the ARA Integral Transform

In this article, a new, attractive method is used to solve fractional neutral pantograph equations (FNPEs). The proposed method, the ARA-Residual Power Series Method (ARA-RPSM), combination of ARA transform and residual power series implemented construct solutions for dispersive differential equations. convergence analysis new proven shown theoretically. To validate simplicity applicability we introduce some examples. For measuring accuracy make comparison with other methods, such as Runge–Kutta, Chebyshev polynomial, variational iterative methods. Finally, numerical results are demonstrated graphically.