Table of Contents
Fetching ...

On Generalized Free Electron Laser Equation

Dharmendra Kumar Singh

Abstract

The aim of this paper is to derive a solution for a generalized free electron laser equation in terms of the incomplete Mittag-Leffler function and in terms of the incomplete Wright function.

On Generalized Free Electron Laser Equation

Abstract

The aim of this paper is to derive a solution for a generalized free electron laser equation in terms of the incomplete Mittag-Leffler function and in terms of the incomplete Wright function.

Paper Structure

This paper contains 2 sections, 2 theorems, 68 equations.

Key Result

Theorem 2.1

Let $b, c, \omega, \in C, \rho\in \Re,a>0, \rho>0,\Re(b)>0$ and $g(t)$ is assumed to be continuous on every finite interval $\left[0, T \right]$,$0<T<\infty$, and of the exponential order $e^{\rho\mu}$, when $\mu\to\infty$. Then for the generalized Free Electron Laser equation for the fractional int together with the initial conditions where $b_{1}, b_{2}, b_{3}, ...., b_{r}\in \Re$, there exist

Theorems & Definitions (4)

  • Theorem 2.1
  • proof
  • Theorem 2.2
  • proof