학술논문
Langevin delayed equations with Prabhakar derivatives involving two generalized fractional distinct orders.
Document Type
Article
Author
Source
Subject
*LANGEVIN equations
*RESISTOR-inductor-capacitor circuits
*INTEGRAL transforms
*LAPLACE transformation
*FRACTIONAL differential equations
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Language
ISSN
1300-0098
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. [ABSTRACT FROM AUTHOR]