Indian Journal of Industrial and Applied Mathematics
  • Year: 2019
  • Volume: 10
  • Issue: 1

A Lane Emden Type Problem Involving Caputo Derivative and Riemann-Liouville Integral

1LPAM, Faculty SEI, University of Mostaganem, Algeria

*Corresponding author E-mail: zzdahmani@yahoo.fr

Abstract

In this paper, we study a nonlinear singular differential equation of Lane Emden type. The considered problem, with its nonlocal conditions, involves Caputo fractional derivative and Riemann-Liouville integral in its nonlinearities. We investigate the existence and uniqueness of solutions. Then, we study the Ulam-Hyers stability for the considered problem.

Keywords

Caputo derivative, Lane Emden equation existence of solution, Ulam-Hyers stability, 30C45, 39B72, 39B82