Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications

Analysis of Caputo Impulsive Fractional Order Differential Equations with Applications

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 differen...

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Veröffentlicht in:International Journal of Differential Equations 2013-01, Vol.2013 (2013), p.208-218
Hauptverfasser: Mahto, Lakshman, Abbas, Syed, Favini, Angelo
Format: Artikel
Sprache:eng
Schlagworte:
Delay
Differential equations
Dynamical systems
Fixed point theory
Logistics
Mathematical analysis
Mathematical models
Mathematical research
Uniqueness
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Zusammenfassung: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.
ISSN:1687-9643
1687-9651
DOI:10.1155/2013/704547