A novel approach to fractional kinetic equations involving Srivastava polynomial and multi-index Bessel function

نویسندگان
Bhargava, Alok ID 1
Sharma, Komal Prasad ID 2
Suthar, Dayalal ID 3

1 Department of Mathematics, Manipal University Jaipur, Jaipur, India.

2 Department of Mathematics, NIMS University Rajasthan, Jaipur, India.

3 1. Department of Mathematics, Wollo University, P.O. Box 1145, Dessie, Ethiopia. \\ 2.Department of Mathematics, Saveetha School of Engineering, Thandalam 600124, Chennai India.

doi
10.22034/cmde.2024.61477.2651
چکیده

In the present work, the generalized fractional kinetic equations (FKE) incorporating the composition of MultiIndex Bessel function and Srivastava polynomial are expressed with their fractional derivatives. Moreover, byemploying the idea of the Laplace transform, solutions are obtained in terms of the Mittag-Leffler function.Finally, a numerical and graphical interpretation of the outcome is displayed.

کلیدواژه‌ها
Generalized fractional kinetic equation, Srivastava Polynomial, Multi-Index Bessel function, Fractional derivative, Laplace transform, Mittag-Leffler function