Initial value problem for a fractional neutral differential equation with infinite delay

Author(s):

Mohammed S Abdo* , Satish K. Panchal

Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

We consider the initial value problem for a class of nonlinear fractional neutral functional differential  equations with infinite delay involving the standard fractional derivative in the sense of Caputo. By using  a variety of tools of fractional calculus including the Banach contraction principle and the Schaefer fixed point theorem, the existence, uniqueness and continuous dependence results are obtained in the space of continuous functions.

Keywords:

fractional functional differential equations , Caputo fractional derivative , existence andcontinuous dependence , fixed point theorem

Language:
English
Published:
International Journal Of Nonlinear Analysis And Applications, Volume:12 Issue: 1, Winter-Spring 2021
Pages:
1195 to 1206
https://www.magiran.com/p2261287