Mild solutions for abstract fractional differential equations with almost sectorial operators and infinite delay

作者：Li Fang^*

来源：Advances in Difference Equations, 2013, 2013(1): 327.

DOI：10.1186/1687-1847-2013-327

• fractional differential equations
• mild solution
• infinite delay
• measure of noncompactness
• fixed point theorem

Of concern is the existence of mild solutions to delay fractional differential equations with almost sectorial operators. Combining the techniques of operator semigroup, noncompact measures and fixed point theory, we obtain a new existence theorem without the assumptions that the nonlinearity f satisfies a Lipschitz-type condition, and the resolvent operator associated with A is compact. An example is presented.

• 出版日期2013-11-19
• 单位云南师范大学