AN INNOVATIVE ANALYTICAL METHOD FOR SOLVING THE FRACTIONAL CAUDREY DODD GIBBON EQUATION

This paper introduces an innovative analytical technique known as the limit residual function method to solve the fractional Caudrey Dodd Gibbon equation, which describes and interprets various chemical, physical, and biological processes. Our approach produces a fractional power series solution that converges rapidly with less computational effort than other methods. This is accomplished by using the residual function and the limit concepts to determine the power series solution coefficients without the need to transform the target equations into different spaces or compute the derivative. We demonstrate the efficiency and reliability of our method through accompanying graphical representations.