Nonlocal Cauchy problem for fractional evolution equations

作者：Zhou, Yong^*; Jiao, Feng

来源：Nonlinear Analysis: Real World Applications , 2010, 11(5): 4465-4475.

DOI：10.1016/j.nonrwa.2010.05.029

• C-0 semigroup
• Fractional evolution equations
• Mild solution
• Nonlocal Cauchy problem
• Laplace transform
• Probability density

In this paper, the nonlocal Cauchy problem is discussed for the fractional evolution equations in an arbitrary Banach space and various criteria on the existence and uniqueness of mild solutions are obtained. An example to illustrate the applications of main results is also given.

• 出版日期2010-10
• 单位湘潭大学