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Geometric Properties of Mittag-Leffler Functions

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Models and Theories in Social Systems

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 179))

Abstract

In recent decades the attention towards Mittag-Leffler type functions has deepened due to their direct involvement in problems of physics, biology, chemistry, engineering and other applied sciences. More precisely, applications of Mittag-Leffler functions appear in stochastic systems (Polito and Scalas (2016)), statistical distribution with results obtained by Pillai (1990), dynamical models investigated by An et al. (2012) etc. Special emphasis should be placed on the applications of Mittag-Leffler type functions in fractional calculus (Kilbas et al. (2004), Srivastava and Tomovski (2009)) and also fractional differential and integral equations such as: diffusion equation with results obtained by Langlands (2006) and Yu and Zhang (2006), telegraph equation (Camargo et al. (2012)), kinetic equation (Metzler and Klafter (2000)), Abel type integral equations investigated by Kilbas and Saigo (1995) just to mention a few.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, Transilvania University of Braşov, Iuliu Maniu, 50, 500091, Braşov, Romania

    Dorina Răducanu

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  1. Dorina Răducanu
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Correspondence to Dorina Răducanu .

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Editors and Affiliations

  1. Faculty of Mathematics and Computer Science, Ovidius University of Constanţa, Constanţa, Romania

    Cristina Flaut

  2. Department of Mathematics and Physics, Faculty of Military Technology, University of Defence, Brno, Czech Republic

    Šárka Hošková-Mayerová

  3. Faculty of History and Political Science, Ovidius University of Constanţa, Constanţa, Romania

    Daniel Flaut

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Răducanu, D. (2019). Geometric Properties of Mittag-Leffler Functions. In: Flaut, C., Hošková-Mayerová, Š., Flaut, D. (eds) Models and Theories in Social Systems. Studies in Systems, Decision and Control, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-030-00084-4_22

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