A hybrid numerical technique for solving fractional Fredholm-Volterra integro-differential equations using Ramadan group integral transform and Hermite polynomials

Abstract

The primary purpose of this study is to offer an approximate technique for solving fractional linear Fredholm Volterra integro-differential equations, using the Ramadan group integral transform in conjunction with Hermite polynomials. This method transforms the integro-differential equation to a system of linear algebraic equations by using the collocation points. To exemplify the theoretical findings, certain numerical test examples are presented to demonstrate the method’s accuracy. The numerical findings are compared to the exact and other available techniques.

Keywords

• Ramadan group transform
• Hermite polynomials
• Fractional integral equations
• Accuracy