کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
468970 | 698275 | 2011 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay Existence and uniqueness of the solutions for a class of nonlinear fractional order partial differential equations with delay](/preview/png/468970.png)
چکیده انگلیسی
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 cDαcDα is the standard Caputo’s fractional derivative of order 0≤α≤10≤α≤1, and ll is a positive integer number, the function ff is defined as f(t,u1,…,ul):R×R×⋯,×R→Rf(t,u1,…,ul):R×R×⋯,×R→R, and x∈Ω is a MM 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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 61, Issue 4, February 2011, Pages 860–870
Journal: Computers & Mathematics with Applications - Volume 61, Issue 4, February 2011, Pages 860–870
نویسندگان
Zigen Ouyang,