On Mittag-Leffler type function and applications

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

Hali tarjima qilinmagan