Homotopy sumudu transformation method for solving fractional delay differential equations

الملخص EN

In this article, A new accurate approximate solution for a nonlinear fractional delay differential equations are obtained using an effective algorithm so called homotopy analysis sumudu transformation method (HASTM).

Some examples have been solved to demonstrate the methodology of this procedure.

The accuracy of the obtained numerical results has been achieved via rapid rate of convergence for the obtained approximate solutions.

Numerical comparison which was displayed and presented in tables and also shown graphically in figures prove and confirm the high accuracy, capability and efficiency of this procedure.