New problem of Lane Emden type via fractional calculus

Abstract

We study a nonlinear singular differential equation of Lane Emden type. The problem used the Caputo derivatives and Riemann-Liouville integrals. We first prove an existence and uniqueness result. Another main result is established. At the end, the discussion of two examples to show the applicability of the main results is given. This paper has some relationship with some other papers that have already been published by the same authors.