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On generalized fractional kinetic equations

Author

Listed:
  • Saxena, R.K.
  • Mathai, A.M.
  • Haubold, H.J.

Abstract

In a recent paper, Saxena et al. (Astro Phys. Space Sci. 282 (2002) 281) developed solutions of generalized fractional kinetic equations in terms of Mittag–Leffler functions. The object of the present paper is to derive the solution of further generalized fractional kinetic equations. Their relation to fundamental laws of physics is briefly discussed. Results are obtained in a compact form in terms of generalized Mittag–Leffler functions and a number of representations of these functions, which are widely distributed in the literature, are compiled for the first time.

Suggested Citation

  • Saxena, R.K. & Mathai, A.M. & Haubold, H.J., 2004. "On generalized fractional kinetic equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 657-664.
    • Handle: RePEc:eee:phsmap:v:344:y:2004:i:3:p:657-664
    DOI: 10.1016/j.physa.2004.06.048
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    Citations

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    Cited by:

    1. Buyukkilic, F. & Ok Bayrakdar, Z. & Demirhan, D., 2015. "Investigation of cumulative growth process via Fibonacci method and fractional calculus," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 237-244.
    2. Mehar Chand & Hanaa Hachimi & Rekha Rani, 2018. "New Extension of Beta Function and Its Applications," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2018, pages 1-25, December.
    3. Kottakkaran Sooppy Nisar, 2019. "Fractional Integrations of a Generalized Mittag-Leffler Type Function and Its Application," Mathematics, MDPI, vol. 7(12), pages 1-13, December.
    4. Mohammed Z. Alqarni & Mohamed Abdalla, 2023. "Novel Kinds of Fractional λ –Kinetic Equations Involving the Generalized Degenerate Hypergeometric Functions and Their Solutions Using the Pathway-Type Integral," Mathematics, MDPI, vol. 11(19), pages 1-14, October.
    5. Temirkhan S. Aleroev & Asmaa M. Elsayed, 2020. "Analytical and Approximate Solution for Solving the Vibration String Equation with a Fractional Derivative," Mathematics, MDPI, vol. 8(7), pages 1-9, July.
    6. Mathai, A.M. & Haubold, H.J., 2007. "Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 110-122.
    7. Mollapourasl, R. & Ostadi, A., 2015. "On solution of functional integral equation of fractional order," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 631-643.

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