The Journal of the Indian Mathematical Society

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A Method for the Solution of Fractional Kinetic Equations


Affiliations
1 Department of Mathematics, NRI Institute of Technology and Management, Baraghata, Jhansi Road, Gwalior-474 001, India
     

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In view of the usefulness and importance of the fractional kinetic equation in certain physical problems governing reaction-diffusion in complex systems and anomalous diffusion, an alternative simple method for deriving the solution of the generalized form of the fractional kinetic equations is presented. Results are obtained in a simple form in terms of generalized M-series.

Keywords

Fractional Kinetic Equations, Fractional Calculus, Special Functions, Generalized Mittag-Leffler Function, Generalized M-Series.
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  • A Method for the Solution of Fractional Kinetic Equations

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Authors

Kishan Sharma
Department of Mathematics, NRI Institute of Technology and Management, Baraghata, Jhansi Road, Gwalior-474 001, India

Abstract


In view of the usefulness and importance of the fractional kinetic equation in certain physical problems governing reaction-diffusion in complex systems and anomalous diffusion, an alternative simple method for deriving the solution of the generalized form of the fractional kinetic equations is presented. Results are obtained in a simple form in terms of generalized M-series.

Keywords


Fractional Kinetic Equations, Fractional Calculus, Special Functions, Generalized Mittag-Leffler Function, Generalized M-Series.