On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind

Kumar Dinesh; Purohit S. D.; Secer A.; Atangana A.

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On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind

机译：涉及第一类广义贝塞尔函数的广义分数阶动力学方程

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We develop a new and further generalized form of the fractional kinetic equation involving generalized Bessel function of the first kind. The manifold generality of the generalized Bessel function of the first kind is discussed in terms of the solution of the fractional kinetic equation in the paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.

机译：我们开发了涉及第一类广义贝塞尔函数的分数阶动力学方程的一种新的且进一步广义的形式。根据分数动力学方程的解，讨论了第一类广义贝塞尔函数的流形一般性。此处获得的结果本质上是相当笼统的，并且能够产生大量已知的（可能是新的）结果。

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《Mathematical Problems in Engineering》 |2015年第2期|289387.1-289387.7|共7页
作者
Kumar Dinesh; Purohit S. D.; Secer A.; Atangana A.;
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JN Vyas Univ, Dept Math & Stat, Jodhpur 342001, Rajasthan, India.;

MP Univ Agr & Technol, Coll Technol & Engn, Dept Basic Sci Math, Udaipur 313001, Rajasthan, India.;

Yildiz Tekn Univ, Dept Engn Math, TR-34210 Istanbul, Turkey.;

Univ Free State, Inst Groundwater Studies, ZA-9300 Bloemfontein, South Africa.;

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1. On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind [J] . DineshKumar, S. D.Purohit, A.Secer, Mathematical Problems in Engineering: Theory, Methods and Applications . 2015,第4期

机译：涉及第一类广义贝塞尔函数的广义分数阶动力学方程
2. On the new computable solution of the generalized fractional kinetic equations involving the generalized function for the fractional calculus and related functions [J] . Chaurasia V, Pandey S Astrophysics and space science . 2008,第3a4期

机译：关于涉及分数演算的广义函数和相关函数的广义分数阶动力学方程的新可计算解
3. On the new computable solution of the generalized fractional kinetic equations involving the generalized function for the fractional calculus and related functions [J] . V. B. L. Chaurasia, S. C. Pandey Astrophysics and Space Science . 2008,第s3a4期

机译：关于涉及分数演算的广义函数和相关函数的广义分数阶动力学方程的新可计算解
4. Unified Fractional Integral Formulae Involving Generalized Multiindex Bessel Function [C] . Mehar Chand, Zakia Hammouch International Conference on Computational Mathematics and Engineering Sciences . 2020

机译：涉及广义多向贝塞尔函数的统一分数整体公式
5. Some contributions to analysis: A new space of generalized functions for integro-differential equations involving Hilbert transforms, and a note on the non-nuclearity of a space of test functions on Hilbert space. [D] . Donnelly, Roderick Kerry. 1988

机译：对分析的一些贡献：涉及Hilbert变换的积分微分方程的广义函数的新空间，以及关于Hilbert空间上测试函数的空间的非核性的注释。
6. Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions [O] . D. Baleanu, P. Agarwal, S. D. Purohit 2013

机译：涉及广义贝塞尔函数乘积的某些分数积分公式
7. Certain Fractional Kinetic Equations Involving Generalized k-Bessel Function [O] . Agarwal, Praveen, Jain, Shilpi, Atangana, Abdon, 2017

机译：一类包含广义k-Bessel的分数动力学方程功能

On Generalized Fractional Kinetic Equations Involving Generalized Bessel Function of the First Kind

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