A Subordination Principle on Wright Functions and Regularized Resolvent Families
| Autor: | Luciano Abadias, Pedro J. Miana |
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| Jazyk: | angličtina |
| Rok vydání: | 2015 |
| Předmět: | |
| Zdroj: | Journal of Function Spaces, Vol 2015 (2015) |
| Druh dokumentu: | article |
| ISSN: | 2314-8896 2314-8888 |
| DOI: | 10.1155/2015/158145 |
| Popis: | We obtain a vector-valued subordination principle for gα,gβ-regularized resolvent families which unified and improves various previous results in the literature. As a consequence, we establish new relations between solutions of different fractional Cauchy problems. To do that, we consider scaled Wright functions which are related to Mittag-Leffler functions, the fractional calculus, and stable Lévy processes. We study some interesting properties of these functions such as subordination (in the sense of Bochner), convolution properties, and their Laplace transforms. Finally we present some examples where we apply these results. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
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