Fractional Calculus of a Unified Mittag-Leffler Function

• Date: 2014
• Main Authors: Nathwani, B. V., Prajapati, J. C., Натвані, Б. В., Праяпаті, Й. Ц.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2014
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2204
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

The main aim of the paper is to introduce an operator in the space of Lebesgue measurable real or complex functions L(a, b). Some properties of the Riemann–Liouville fractional integrals and differential operators associated with the function E α,β,λ,μ,ρ,p γ,δ (cz; s, r) are studied and the int...