ABSTRACT TIME-FRACTIONAL EQUATIONS: EXISTENCE AND GROWTH OF SOLUTIONS

作者：Kostic Marko^*

来源：Journal of Fractional Calculus and Applied Analysis, 2011, 14(2): 301-316.

DOI：10.2478/s13540-011-0018-4

• abstract time-fractional equations
• alpha-times C-regularized resolvent families

We contribute to the existence theory of abstract time-fractional equations by stating the sufficient conditions for generation of not exponentially bounded alpha-times C-regularized resolvent families (alpha > 1) in sequentially complete locally convex spaces. We also consider the growth order of constructed solutions.

• 出版日期2011-6