Exponential Operators For Generalized Lamb–Bateman Singular Integral Equations

Abstract

In this article, the author extends the application of exponential operators to solve certain non-linear fractional differential equation, space fractional partial differential equation and two dimensional Lamb– Bateman singular integral equation. Numerous constructive examples and exercises presented throughout the paper. The main purpose of this work is to present mathematical results that are useful to researchers in a variety of fields.