A parallel Numerical Algorithm for Solving Some Fractional Integral Equations


In this study, He's parallel numerical algorithm by neural network is applied to type ofintegration of fractional equations is Abel’s integral equations of the 1st and 2nd kinds. Using aLevenberge – Marquaradt training algorithm as a tool to train the network. To show the efficiency ofthe method, some type of Abel’s integral equations is solved as numerical examples. Numericalresults show that the new method is very efficient problems with high accuracy.