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
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)),
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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
Journal title :
Nonlinear Analysis Theory, Methods & Applications
