An Efficient Numerical Algorithm for Solving Fractional Higher-Order Nonlinear Integrodifferential Equations

الملخص EN

This paper is devoted to both theoretical and numerical study of boundary value problems for higher-order nonlinear fractional integrodifferential equations.

Existence and uniqueness results for the considered problem are provided and proved.

The numerical method of solution for the problem is based on a conjugate collocation and spline approach combined with shooting method.

Some numerical examples are discussed to demonstrate the efficiency and the accuracy of the proposed algorithm.