Geodesic
An Alternative Method for Solving Generalized Differential Equations of Fractional Order
Kragujevac Journal of Mathematics, Tome 37 (2013) no. 2, p. 299

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In view of the usefulness and importance of the fractional differential equations in certain physical problems governing reaction-diffusion in complex systems and anomalous diffusion, the authors present an alternative simple method for deriving the solution of the generalized forms of the fractional differential equation and Volterra type differintegral equation. The solutions are obtained in a straight- forward manner by the application of Riemann-Liouville fractional integral operator and its interesting properties. As applications of the main results, solutions of certain generalized fractional kinetic equations involving generalized Mittag-Leffler function are also studied. Moreover, results for some particular values of the parameters are also pointed out.
Classification : 26A33 45D05 47G20 33A12
Keywords: Fractional calculus operators, Fractional differintegral equation, Frac- tional kinetic equation, Generalized Mittag-Leffler function 
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Amit Chouhan; Sunil Dutt Purohit; Satish Saraswat. An Alternative Method for Solving Generalized Differential Equations of Fractional Order. Kragujevac Journal of Mathematics, Tome 37 (2013) no. 2, p. 299 . http://geodesic.mathdoc.fr/item/KJM_2013_37_2_a8/