Well-posedness for an Abstract Semilinear Integro-differential Fractional Problem

作者：Tatar Nasser eddine^*

来源：Mediterranean Journal of Mathematics, 2012, 9(1): 199-210.

DOI：10.1007/s00009-010-0103-7

• Cauchy problem
• cosine family
• fractional derivative
• mild solutions
• second-order abstract problem

We consider an abstract second order semilinear integrodifferential equation involving fractional time derivatives of order between 1 and 2. Well-posedness is established under appropriate conditions on the initial data and the nonlinearity which is itself a fractional integral. These conditions will determine the exact underlying space where to look for solutions.

• 出版日期2012-2
• 单位中国石油大学（北京）