Global Integrable Solution for a Nonlinear Functional Integral Inclusion

Abstract

We study the global existence of positive integrable solution for the functional integral inclusion of fractional order x(t)∈p(t)+F1(t,Iαf2(t,x(φ(t))), t∈(0,1), α≥0, where F1(t,x(t)) is a set-valued function defined on (0,1)×R+.

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Copyright

Copyright © 2010 A. M. A. El-Sayed and Sh. M. Al-Issa. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.