Title of article
Existence of the mild solution for fractional semilinear initial value problems Original Research Article
Author/Authors
Omar K. Jaradat، نويسنده , , Ahmad Al-Omari، نويسنده , , Shaher Momani and Rami Qaralleh، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
7
From page
3153
To page
3159
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)),
Turn MathJax on
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.
Keywords
semilinear , Fractional differential equation , existence and uniqueness , mild solution
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2008
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
860599
Link To Document