A Subordination Principle on Wright Functions and Regularized Resolvent Families
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 Wri...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/158145 |
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| author | Luciano Abadias Pedro J. Miana |
| author_facet | Luciano Abadias Pedro J. Miana |
| author_sort | Luciano Abadias |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-764c23c61c2941b38acf3c7ad8dbaf7b |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-764c23c61c2941b38acf3c7ad8dbaf7b2025-08-20T03:35:16ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/158145158145A Subordination Principle on Wright Functions and Regularized Resolvent FamiliesLuciano Abadias0Pedro J. Miana1Departamento de Matemáticas, Instituto Universitario de Matemáticas y Aplicaciones, Universidad de Zaragoza, 50009 Zaragoza, SpainDepartamento de Matemáticas, Instituto Universitario de Matemáticas y Aplicaciones, Universidad de Zaragoza, 50009 Zaragoza, SpainWe 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.http://dx.doi.org/10.1155/2015/158145 |
| spellingShingle | Luciano Abadias Pedro J. Miana A Subordination Principle on Wright Functions and Regularized Resolvent Families Journal of Function Spaces |
| title | A Subordination Principle on Wright Functions and Regularized Resolvent Families |
| title_full | A Subordination Principle on Wright Functions and Regularized Resolvent Families |
| title_fullStr | A Subordination Principle on Wright Functions and Regularized Resolvent Families |
| title_full_unstemmed | A Subordination Principle on Wright Functions and Regularized Resolvent Families |
| title_short | A Subordination Principle on Wright Functions and Regularized Resolvent Families |
| title_sort | subordination principle on wright functions and regularized resolvent families |
| url | http://dx.doi.org/10.1155/2015/158145 |
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