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A Subordination Principle on Wright Functions and Regularized Resolvent Families
Joint Authors
Abadias, Luciano
Miana, Pedro J.
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-03-16
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Abadias, Luciano& Miana, Pedro J.. 2015. A Subordination Principle on Wright Functions and Regularized Resolvent Families. Journal of Function Spaces،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1068221
Modern Language Association (MLA)
Abadias, Luciano& Miana, Pedro J.. A Subordination Principle on Wright Functions and Regularized Resolvent Families. Journal of Function Spaces No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1068221
American Medical Association (AMA)
Abadias, Luciano& Miana, Pedro J.. A Subordination Principle on Wright Functions and Regularized Resolvent Families. Journal of Function Spaces. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1068221
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1068221