On generalized fractional kinetic equations
By R. K. Saxena, Arak M. Mathai, Hans J. Haubold. 2004
215 citations recorded by the source corpus.
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.
Subfields: Modeling and Simulation, Public Health, Environmental and Occupational Health, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/6056aa814587a1e590e8dbabfeb04926e88b55af
How researchers see this paper
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In Modeling and Simulation
- Hari M. Srivastava
- Abdon Atangana
- Dumitru Băleanu
- Devendra Kumar
- Arak M. Mathai
- Hans J. Haubold
- Aydin Seçer
- Arran Fernandez
In Public Health, Environmental and Occupational Health
In Statistical and Nonlinear Physics
- Hari M. Srivastava
- Hans J. Haubold
- Arak M. Mathai
- Sunil Dutt Purohit
- Devendra Kumar
- Abdon Atangana
- Aydin Seçer
- Dumitru Băleanu
Citations in the corpus
- An iterative approach for solving fractional optimal control problems (2018, unknown): “Some of the applications of fractional calculus include thermodynamics (Saxena et al., 2004), psychology (Ahmad and El-Khazali, 2007), finance (Picozzi and West, 2002), and electrochemistry (Oldham and Spanier, 1970).”
- On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind (2015, background): “One may, for instance, refer to such type of works by [11–23].”
- Pathway model, superstatistics, Tsallis statistics, and a generalized measure of entropy (2006, background): “Reaction equations are considered in a series of papers by Haubold, Mathai, and Saxena (Haubold and Mathai, 1995, 2000; Saxena, Mathai, and Haubold, 2004a; Mathai, Saxena, and Haubold, 2005).”
- Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments (2020, background): “[75] introduced the solution of the generalized fractional kinetic equation associated with the generalized Mittag-Leffler function.”