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Computable Extensions of Advanced Fractional Kinetic Equation and a Class of Levy-Type Probabilities

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Man–Machine Interactions 4

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 391))

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Abstract

In recent year’s fractional kinetic equation are studied due to their usefulness and importance in mathematical physics, especially in astrophysical problems. In Astrophysics kinetic equations designate a system of differential equations, describing the rate of change of chemical composition of a star for each species in terms of the reaction rates for destruction and production of that species. Methods for modeling processes of destruction and production of stars have been developed for bio-chemical reactions and their unstable equilibrium states and for chemical reaction networks with unstable states, oscillations and hysteresis.The aim of present paper is to find the solution of generalized fractional order kinetic equation, using a new special function. The results obtained here is moderately universal in nature. Special cases, relating to the Mittag-Leffler function is also considered.

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Authors and Affiliations

  1. Department of Mathematics, RJIT, BSF Academy, Tekanpur, Gwalior, Madhya Pradesh, India

    Manoj Sharma

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  1. Manoj Sharma
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Correspondence to Manoj Sharma .

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Editors and Affiliations

  1. Institute of Informatics, Silesian University of Technology, Gliwice, Poland

    Aleksandra Gruca

  2. Institute of Informatics, Silesian University of Technology, Gliwice, Poland

    Agnieszka Brachman

  3. Institute of Informatics, Silesian University of Technology, Gliwice, Poland

    Stanisław Kozielski

  4. Institute of Informatics, Silesian University of Technology, Gliwice, Poland

    Tadeusz Czachórski

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Sharma, M. (2016). Computable Extensions of Advanced Fractional Kinetic Equation and a Class of Levy-Type Probabilities. In: Gruca, A., Brachman, A., Kozielski, S., Czachórski, T. (eds) Man–Machine Interactions 4. Advances in Intelligent Systems and Computing, vol 391. Springer, Cham. https://doi.org/10.1007/978-3-319-23437-3_6

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  • DOI: https://doi.org/10.1007/978-3-319-23437-3_6

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23436-6

  • Online ISBN: 978-3-319-23437-3

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