A Generalization of the Lamb-Bateman Integral Equation and Fractional Derivatives : A Comment

TL;DR

This paper generalizes the Lamb-Bateman integral equation and provides solutions using fractional derivatives, commenting on prior related work to extend the mathematical framework.

Contribution

It introduces a generalized form of the Lamb-Bateman integral equation and solves it through fractional derivatives, building upon previous research.

Findings

Generalized Lamb-Bateman integral equation derived

Solution expressed in terms of fractional derivatives

Comments on and extends prior work by Babusci et al.

Abstract

In this note a generalization of the Lamb-Bateman integral equation is presented and its solution is given in terms of {\bf fractional derivatives}. This is a comment one to the paper by Babusci, Dattoli and Sacchetti (arXiv:1006.0184 [math-ph]).