Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843769 | Nonlinear Analysis: Theory, Methods & Applications | 2008 | 7 Pages |
Abstract
In this paper we will study the existence and uniqueness of mild solution for the semilinear initial value problem of non-integer order:u(α)(t)=Au(t)+f(t,u(t),Gu(t),Su(t)),u(α)(t)=Au(t)+f(t,u(t),Gu(t),Su(t)), where, α∈(0,1]α∈(0,1] and f(t,u(t),Gu(t),Su(t))f(t,u(t),Gu(t),Su(t)) is a given function.
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Authors
Omar K. Jaradat, Ahmad Al-Omari, Shaher Momani,