Fractional calculus of a unified Mittag-Leffler function

• Published in: Український математичний журнал
• Date: 2014
• ISSN: 1027-3190
• Main Authors: Prajapati, J.C., Nathwani, B.V.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2014
• Subjects: Статті
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166096
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Fractional calculus of a unified Mittag-Leffler function / J.C. Prajapati, B.V. Nathwani // Український математичний журнал. — 2014. — Т. 66, № 8. — С. 1133–1145. — Бібліогр.: 13 назв. — англ.

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 integral...