MILD SOLUTIONS FOR MULTI-TERM TIME-FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL INITIAL CONDITIONS

被引：0
|
作者：
Alvarez-Pardo, Edgardo [1 ]
Lizama, Carlos [2 ]
机构：
[1] Univ Atlantico, Fac Ciencias Basicas, Dept Math, Barranquilla, Colombia
[2] Univ Santiago Chile, Fac Ciencia, Dept Math & Ciencia Comp, Santiago, Chile
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年
关键词：
Multi-term time-fractional differential equation; fractional calculus; cosine operator function; mild solution;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of mild solutions for the multi-term time-fractional order abstract differential equation D(t)(alpha+1)u(t) + c(1)D(t)(beta 1)u(t) + ... + c(d)D(t)(beta k)u(t) = Au(t) + D-t(alpha-1) f(t, u(t)), t is an element of [0, 1], with nonlocal initial conditions, where A is the generator of a strongly continuous cosine function, 0 < alpha <= beta(d) <= ... <= beta(1) <= 1 and c(k) >= 0 for k = 1, ..., d.
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页数：10
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