International Journal of Differential Equations

Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications

Lakshman Mahto, Syed Abbas, and Angelo Favini

Full-text: Open access

Abstract

We use Sadovskii's fixed point method to investigate the existence and uniqueness of solutions of Caputo impulsive fractional differential equations of order α(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
Received: 6 May 2012
Accepted: 21 November 2012
First available in Project Euclid: 24 January 2017

Permanent link to this document
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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