## International Journal of Differential Equations

### Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications

#### Abstract

We use Sadovskii's fixed point method to investigate the existence and uniqueness of solutions of Caputo impulsive fractional differential equations of order $\alpha \in (\mathrm{0,1})$ with one example of impulsive logistic model and few other examples as well. We also discuss Caputo impulsive fractional differential equations with finite delay. The results proven are new and compliment the existing one.

#### Article information

Source
Int. J. Differ. Equ., Volume 2013, Special Issue (2012), Article ID 704547, 11 pages.

Dates
Accepted: 21 November 2012
First available in Project Euclid: 24 January 2017

https://projecteuclid.org/euclid.ijde/1485226883

Digital Object Identifier
doi:10.1155/2013/704547

Mathematical Reviews number (MathSciNet)
MR3031298

Zentralblatt MATH identifier
1275.34010

#### Citation

Mahto, Lakshman; Abbas, Syed; Favini, Angelo. Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications. Int. J. Differ. Equ. 2013, Special Issue (2012), Article ID 704547, 11 pages. doi:10.1155/2013/704547. https://projecteuclid.org/euclid.ijde/1485226883

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