A Generalization of the Krätzel Function and Its Applications. (26th January 2017)

• Record Type: Journal Article
• Authors: Dernek, Neşe; Dernek, Ahmet; Yürekli, Osman
• Other Names: Liu Ming-Sheng Academic Editor.
• Is Part Of: Journal of mathematics. Volume 2017(2017)
• Publication Date: 2017-01-26
• Subjects: Mathematics -- Periodicals; Mathematics; Periodicals; 510
• DOI: 10.1155/2017/2195152
• Languages: English
• ISSNs: 2314-4629

Abstract

Abstract : In this paper, we introduce new functions Y ρ, r ν ( x ) as a generalization of the Krätzel function. We investigate recurrence relations, Mellin transform, fractional derivatives, and integral of the function Y ρ, r ν ( x ) . We show that the function Y ρ, r ν ( x ) is the solution of differential equations of fractional order.