Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3499
Abstract
This paper is devoted to defining the delayed analogue of the Mittag-Leffler type function with three parameters and investigating a representation of a solution to Langevin delayed equations with Prabhakar derivatives involving two generalized fractional distinct orders, which are first introduced and investigated, by means of the Laplace integral transform. It is verified by showing the solution satisfies the introduced system. Special cases which are also novel are presented as examples. The findings are illustrated with the help of the RLC circuits.
Keywords
Fractional Langevin type equation, Mittag-Leffler type function, Prabhakar fractional derivative, RLC circuit
First Page
144
Last Page
162
Recommended Citation
AYDIN, MUSTAFA
(2024)
"Langevin delayed equations with Prabhakar derivatives involving two generalized
fractional distinct orders,"
Turkish Journal of Mathematics: Vol. 48:
No.
2, Article 5.
https://doi.org/10.55730/1300-0098.3499
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss2/5
