A Subordination Principle on Wright Functions and Regularized Resolvent Families. (16th March 2015)

• Record Type: Journal Article
• Authors: Abadias, Luciano; Miana, Pedro J.
• Other Names: Ólafsson Gestur Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-03-16
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/158145
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We obtain a vector-valued subordination principle forg α, g β -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.