The Journal of the Indian Mathematical Society

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Application of q-Bessel Functions in the Solution of Generalized Fractional Kinetic Equations


Affiliations
1 Department of Mathematics and Statistics, School of Basic Sciences, Manipal University, Jaipur, India
2 Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi Arabia
     

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The present investigation aims to extract a solution from the generalized fractional kinetic equations involving the generalized q-Bessel function by applying the Laplace transform. Methodology and results can be adopted and extended to a variety of related fractional problems in mathematical physics.

Keywords

Fractional kinetic equations, Laplace transform, fractional integral operator, generalized q-Bessel Functions, Mittag–Leffler functions
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  • Application of q-Bessel Functions in the Solution of Generalized Fractional Kinetic Equations

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Authors

Garima Agarwal
Department of Mathematics and Statistics, School of Basic Sciences, Manipal University, Jaipur, India
Sunil Joshi
Department of Mathematics and Statistics, School of Basic Sciences, Manipal University, Jaipur, India
Kottakkaran Sooppy Nisar
Department of Mathematics, College of Arts and Sciences, Prince Sattam bin Abdulaziz University, Wadi Aldawaser, 11991, Saudi Arabia

Abstract


The present investigation aims to extract a solution from the generalized fractional kinetic equations involving the generalized q-Bessel function by applying the Laplace transform. Methodology and results can be adopted and extended to a variety of related fractional problems in mathematical physics.

Keywords


Fractional kinetic equations, Laplace transform, fractional integral operator, generalized q-Bessel Functions, Mittag–Leffler functions

References





DOI: https://doi.org/10.18311/jims%2F2021%2F26631