Mild solutions to the Cauchy problem for some fractional differential equations with delay (Q2275141)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mild solutions to the Cauchy problem for some fractional differential equations with delay |
scientific article |
Statements
Mild solutions to the Cauchy problem for some fractional differential equations with delay (English)
0 references
2 October 2019
0 references
Summary: In this paper, we present new existence theorems of mild solutions to Cauchy problem for some fractional differential equations with delay. Our main tools to obtain our results are the theory of analytic semigroups and compact semigroups, the Kuratowski measure of non-compactness, and fixed point theorems, with the help of some estimations. Examples are also given to illustrate the applicability of our results.
0 references
fractional differential equations
0 references
analytic semigroup
0 references
compact semigroup
0 references
fixed point
0 references
mild solution
0 references
0 references
0 references
0 references
