Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1239

 Title: Renewal Processes of Mittag-Leffler and Wright Type Authors: Mainardi, FrancescoGorenflo, RudolfVivoli, Alessandro Keywords: Fractional DerivativeMittag-Leffler FunctionWright FunctionRenewal TheoryPoisson ProcessFractional Diffusion26A3333E1233E2044A1044A3560G5060J0560K05 Issue Date: 2005 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 8, No 1, (2005), 07p-38p Abstract: After sketching the basic principles of renewal theory we discuss the classical Poisson process and offer two other processes, namely the renewal process of Mittag-Leffler type and the renewal process of Wright type, so named by us because special functions of Mittag-Leffler and of Wright type appear in the definition of the relevant waiting times. We compare these three processes with each other, furthermore consider corresponding renewal processes with reward and numerically their long-time behaviour. Description: 2000 MSC: 26A33, 33E12, 33E20, 44A10, 44A35, 60G50, 60J05, 60K05. URI: http://hdl.handle.net/10525/1239 ISSN: 1311-0454 Appears in Collections: 2005

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