Existence results for nonlinear implicit fractional differential equations

Existence results for nonlinear implicit fractional differential equations

In this paper, we establish the existence and uniqueness of solution for a class of initial value problem for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach contraction principle, Schauder' fixed point theorem and the nonlin...

Full description

Bibliographic Details
Main Authors: Mouffak Benchohra, Jamal Eddine Lazreg
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2014-09-01
Series:Surveys in Mathematics and its Applications
Subjects:
Initial value problem
Caputo's fractional derivative
implicit fractional differential equations
fractional integral
existence
Gronwall's lemma
fixed point
Online Access:http://www.utgjiu.ro/math/sma/v09/p03.pdf

Internet

http://www.utgjiu.ro/math/sma/v09/p03.pdf

Similar Items