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.

引用

页数：10

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