Integral equations of fractional order with multiple time delays in Banach spaces

Integral equations of fractional order with multiple time delays in Banach spaces

In this article, we give sufficient conditions for the existence of solutions for an integral equation of fractional order with multiple time delays in Banach spaces. Our main tool is a fixed point theorem of Monch type associated with measures of noncompactness. Our results are illustrated by an ex...

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Veröffentlicht in:Electronic journal of differential equations 2012-04, Vol.2012 (65), p.1-8
Hauptverfasser: Mouffak Benchohra, Djamila Seba
Format: Artikel
Sprache:eng
Schlagworte:
Banach space
fixed point
Integral equation
left sided mixed Riemann Liouville integral
measure of noncompactness
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Zusammenfassung:In this article, we give sufficient conditions for the existence of solutions for an integral equation of fractional order with multiple time delays in Banach spaces. Our main tool is a fixed point theorem of Monch type associated with measures of noncompactness. Our results are illustrated by an example.
ISSN:1072-6691