CUBO A Mathematical Journal Vol.15, N^o 01, (01–12). March 2013

 

WEAK SOLUTIONS OF FRACTIONAL ORDER PETTIS INTEGRAL INCLUSIONS WITH MULTIPLE TIME DELAY IN BANACH SPACES

 

Mouffak Benchohra* y Fatima-Zohra Mostefai**

* Université de Sidi Bel-Abbès Laboratoire de Mathématiques, BP 89, 22000 Sidi Bel-Abbès, Algérie. Email: benchohra@univ-sba.dz
** Université de Saida Département de Mathématiques, BP 138 Cité Ennasr, 20000, Saida, Algérie. Email: f.z.mostefai@gmail.com

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ABSTRACT:

We study the existence of weak solutions for nonlinear integral inclusion with multiple time delay. The main result of the paper is based on the fixed point theorem of Mönch type and the technique of measure of weak noncompactness.

Keywords and Phrases: Hyperbolic differential inclusion, measure of weak noncompactness, left sided mixed Pettis integral, weak solution, Banach space.

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RESUMEN:

Estudiamos la existencia de soluciones débiles de la inclusión integral no lineal con retardos temporales múltiples. El resultado principal del artículo se basa en el Teorema de Punto Fijo de tipo Mönch y la técnica de medida de la no-compacidad débil.

2010 AMS Mathematics Subject Classification: 26A33, 35H10, 35D30

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Received: October 2012 / Revised: February 2013.