Existence and finite-time stability results for impulsive fractional differential equations with maxima
| Autor: | Yuruo Zhang, JinRong Wang |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Applied Mathematics
010102 general mathematics Mathematical analysis Stability result Type (model theory) 01 natural sciences 010101 applied mathematics Computational Mathematics Hadamard transform Gronwall's inequality Theory of computation 0101 mathematics Fractional differential Finite time Maxima Mathematics |
| Zdroj: | Journal of Applied Mathematics and Computing. 51:67-79 |
| ISSN: | 1865-2085 1598-5865 |
| DOI: | 10.1007/s12190-015-0891-9 |
| Popis: | In this paper, we firstly establish an interesting impulsive Gronwall inequality with maxima involving Hadamard type singular kernel, which can be applied to make prior estimation. Secondly, we apply the above inequality and fixed point approach to show two existence results. Further, we show that finite-time stability result. Finally, an example is given to illustrate our theoretical results. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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