Applied Mathematics

Volume 4, Issue 7 (July 2013)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces

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DOI: 10.4236/am.2013.47A008    4,797 Downloads   7,800 Views  Citations

ABSTRACT

In this paper, we give various existence results concerning the existence of mild solutions for nonlocal impulsive differential inclusions with delay and of fractional order in Caputo sense in Banach space. We consider the case when the values of the orient field are convex as well as nonconvex. Our obtained results improve and generalize many results proved in recent papers.

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A. Ibrahim and N. Sarori, "Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces," Applied Mathematics, Vol. 4 No. 7A, 2013, pp. 40-56. doi: 10.4236/am.2013.47A008.

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