Analytic solutions of fractional kinetic equations involving incomplete ℵ-function DOI Creative Commons
M.C. Meena, Mridula Purohit

International Journal of Mathematics for Industry, Journal Year: 2024, Volume and Issue: 16(01)

Published: June 29, 2024

This paper expressed the fractional kinetic equation (KE) in terms of incomplete [Formula: see text]-function, I-function, Fox H-function, and Meijer’s G-function. It assesses importance KE diverse scientific engineering contexts, highlighting its relevance across various scenarios. In this paper, we investigate results Katugampola’s equations with product generalized M-series text]-function. The text]-Laplace transform is applied for obtaining desired results. Utilizing an M-series, universality series harnessed to deduce solutions a KE. Furthermore, graphical representation obtained solutions’ behaviors presented, enhancing impact findings.

Language: Английский

Analytic solutions of fractional kinetic equations involving incomplete ℵ-function DOI Creative Commons
M.C. Meena, Mridula Purohit

International Journal of Mathematics for Industry, Journal Year: 2024, Volume and Issue: 16(01)

Published: June 29, 2024

This paper expressed the fractional kinetic equation (KE) in terms of incomplete [Formula: see text]-function, I-function, Fox H-function, and Meijer’s G-function. It assesses importance KE diverse scientific engineering contexts, highlighting its relevance across various scenarios. In this paper, we investigate results Katugampola’s equations with product generalized M-series text]-function. The text]-Laplace transform is applied for obtaining desired results. Utilizing an M-series, universality series harnessed to deduce solutions a KE. Furthermore, graphical representation obtained solutions’ behaviors presented, enhancing impact findings.

Language: Английский

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