Exponential Operators For Generalized Lamb–Bateman Singular Integral Equations

Year 2017, Volume: 5 Issue: 2, 1 - 9, 30.10.2017

Arman Aghili

https://doi.org/10.36753/mathenot.421723

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.

Keywords

Laplace transforms, Caputo fractional derivative, Parabolic Cylinder function, Riemann-Liouville fractional derivative, Lamb- Bateman singular integral equation

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