Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900291 | Journal of Mathematical Analysis and Applications | 2018 | 19 Pages |
Abstract
We consider the integro-differential equation I0+αf=xmf on the half-line. We show that there exists a density solution, which is then unique and can be expressed in terms of the Beta distribution, if and only if m>α. These density solutions extend the class of generalized one-sided stable distributions introduced in [29] and more recently investigated in [27]. We study various analytical aspects of these densities, and we solve the open problems about infinite divisibility formulated in [27].
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Wissem Jedidi, Thomas Simon, Min Wang,