FRACTIONAL KINETIC EQUATIONS INVOLVING GENERALIZED V-FUNCTION VIA LAPLACE TRANSFORM
نویسندگان
چکیده
In this study, a new and further generalized form of the fractional kinetic equation involving V$-$function has been developed. We have discussed manifold generality in terms solution equation. Also, graphical interpretation solutions by employing MATLAB is given. The results are very general nature, they can be used to generate large number known novel results.
منابع مشابه
Solutions of generalized fractional kinetic equations involving Aleph functions
In view of the usefulness and great importance of the kinetic equation in certain astrophysical problems, the authors develop a new and further generalized form of the fractional kinetic equation in terms of the Aleph-function by using the Sumudu transform. This new generalization can be used for the computation of the change of chemical composition in stars like the sun. The manifold generalit...
متن کاملLaplace Transform of Fractional Order Differential Equations
In this article, we show that Laplace transform can be applied to fractional system. To this end, solutions of linear fractional-order equations are first derived by a direct method, without using Laplace transform. Then the solutions of fractional-order differential equations are estimated by employing Gronwall and Hölder inequalities. They are showed be to of exponential order, which are nece...
متن کاملOn the Solutions of Generalized Fractional Kinetic Equations Involving the Generalized Functions for the Fractional Calculus
In view of the usefulness and great importance of fractional kinetic equations due to their occurrence in certain astrophysical problems, we have further investigated the generalized fractional kinetic equations; solutions of which contain the Rand Gfunctions of Lorenzo and Hartley (the generalized functions for the fractional calculus). The aim of this paper is to investigate the solutions of ...
متن کاملOn certain fractional calculus operators involving generalized Mittag-Leffler function
The object of this paper is to establish certain generalized fractional integration and differentiation involving generalized Mittag-Leffler function defined by Salim and Faraj [25]. The considered generalized fractional calculus operators contain the Appell's function $F_3$ [2, p.224] as kernel and are introduced by Saigo and Maeda [23]. The Marichev-Saigo-Maeda fractional calculus operators a...
متن کاملOn generalized fractional kinetic equations
Abstract In a recent paper, Saxena et al.[1] developed the solutions of three generalized fractional kinetic equations in terms of the Mittag-Leffler functions. The object of the present paper is to further derive the solution of further generalized fractional kinetic equations. The results are obtained in a compact form in terms of generalized Mittag-Leffler functions. Their relation to fundam...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 2021
ISSN: ['1857-8365', '1857-8438']
DOI: https://doi.org/10.37418/amsj.10.5.23