A Subordination Principle on Wright Functions and Regularized Resolvent Families

作者:Abadias Luciano; Miana Pedro J*
来源:Journal of Function Spaces, 2015, 2015: 158145.
DOI:10.1155/2015/158145

摘要

We obtain a vector-valued subordination principle for (g(alpha), g(beta))-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 Levy 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.

  • 出版日期2015