Weak Solutions of Fractional Order Pettis Integral Inclusions with Multiple Time Delay in Banach Spaces

Mouffak Benchohra; Fatima-Zohra Mostefai

doi:10.4067/S0719-06462013000100001

Weak Solutions of Fractional Order Pettis Integral Inclusions with Multiple Time Delay in Banach Spaces

Authors

Mouffak Benchohra Université de Sidi Bel-Abbès Laboratoire de Mathématiques, BP 89, 22000 Sidi Bel-Abbès, Algérie.
Fatima-Zohra Mostefai Université de Saida Département de Mathématiques, BP 138 Cité Ennasr, 20000, Saida, Algérie.

DOI:

https://doi.org/10.4067/S0719-06462013000100001

Keywords:

Hyperbolic differential inclusion, measure of weak noncompactness, left sided mixed Pettis integral, weak solution, Banach space

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 M¨onch type and the technique of measure of weak noncompactness.

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Published

2013-03-01

How to Cite

[1]

M. Benchohra and F.-Z. Mostefai, “Weak Solutions of Fractional Order Pettis Integral Inclusions with Multiple Time Delay in Banach Spaces”, CUBO, vol. 15, no. 1, pp. 01–12, Mar. 2013.