Abstract
In this paper we present an integral inequality and show how it can be used to study certain differential equations. Namely, we will see how to establish (global) existence results and determine the decay rates of solutions to abstract semilinear problems, reaction diffusion systems with time dependent coefficients and fractional differential problems. A nonlinear singular version of the Gronwall inequality is also presented.
| Original language | English |
|---|---|
| Pages (from-to) | 1-13 |
| Number of pages | 13 |
| Journal | Journal of Inequalities in Pure and Applied Mathematics |
| Volume | 6 |
| Issue number | 5 |
| State | Published - 2005 |
Keywords
- Abstract semilinear Cauchy problem
- Analytic semigroup
- Decay rate
- Fractional derivative
- Fractional operator
- Global existence
- Singular kernel
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics
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