New results involving the generalized Krätzel function with application to the fractional kinetic equations
Date
2023
Authors
Tassadiq, Asifa
Srivastava, Rekha
Journal Title
Journal ISSN
Volume Title
Publisher
Mathematics
Abstract
Sun is a basic component of the natural environment and kinetic equations are important mathematical models to assess the rate of change of chemical composition of a star such as the sun. In this article, a new fractional kinetic equation is formulated and solved using generalized Krätzel integrals because the nuclear reaction rate in astrophysics is represented in terms of these integrals. Furthermore, new identities involving Fox–Wright function are discussed and used to simplify the results. We compute new fractional calculus formulae involving the Krätzel function by using Kiryakova’s fractional integral and derivative operators which led to several new identities for a variety of other classic fractional transforms. A number of new identities for the generalized Krätzel function are then analyzed in relation to the H-function. The closed form of such results is also expressible in terms of Mittag-Leffler function. Distributional representation of Krätzel function and its Laplace transform has been essential in achieving the goals of this work.
Description
Keywords
generalized Krätzel function, fractional images, H-function, kinetic equation
Citation
Tassaddiq, A., & Srivastava, R. (2023). New results involving the generalized Krätzel function with application to the fractional kinetic equations. Mathematics, 11(4), 1060. https://doi.org/10.3390/math11041060