Title of article :
Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay
Author/Authors :
Zigen Ouyang، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2011
Pages :
11
From page :
860
To page :
870
Abstract :
A class of nonlinear fractional order partial differential equations with delay c∂αu(x, t) ∂tα = a(t)△u(x, t) + f (t, u(x, τ1(t)), . . . , u(x, τl(t))), t ∈ [0, T0] be investigated in this paper, where cDα is the standard Caputo’s fractional derivative of order 0 ≤ α ≤ 1, and l is a positive integer number, the function f is defined as f (t, u1, . . . , ul) : R×R×· · · ,×R → R, and x ∈  is a M dimension space. Using Lebesgue dominated convergence theorem, Leray–Schauder fixed point theorem and Banach contraction mapping theorem, we obtain some sufficient conditions for the existence of the solutions of the above fractional order partial differential equations.
Keywords :
Fractional order , Partial differential equations , Solution , Existence , Uniqueness , Delay
Journal title :
Computers and Mathematics with Applications
Serial Year :
2011
Journal title :
Computers and Mathematics with Applications
Record number :
921875
Link To Document :
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