Article

On Mittag-Leffler type function and applications

Megumi Saigo Department of Applied Mathematics, Fukuoka University, Fukuoka, 814-80, JapanAnatoly A. Kilbas Department of Mathematics and Mechanics, Belarusian State University, Minsk, 220050, Belarus

1998en

ABI

Abstract

Abstract This is the continuation of the paper [4] which was devoted to introduce a special entire function named a Mittag -Leffler type function E α,m,l (z) to discuss its connections with the Riemnn Loiuville fractional integral and derivatives and to solve the linear Abel-Volterra integral equation. Here we construct explicit soliutions of special differential equations of fractional order and as their consequences, of ordinary differential equations. Examples are also exhibited. Keywords: Mittag-Leffler functionFractional calculusDifferential equations of fractional orderordinary differential equationsMSC(1991): 26A3333E2034A05 Additional informationNotes on contributorsMegumi Saigo Anatoly A. Kilbas

Identifiers

DOI: 10.1080/10652469808819189

Citations and references

Cited by 20 references

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