Conferences

@proceedings{Ahmadova2020bb,
title = {Application of Langevin equations with general fractional orders to electric circuit theory},
author = {Arzu Ahmadova, Nazim I Mahmudov },
url = {https://www.researchgate.net/publication/346719358_Application_of_Langevin_equations_with_general_fractional_orders_to_electric_circuit_theory},
year = {2020},
date = {2020-12-06},
abstract = {Multi-order fractional differential equations have been studied due to their applications in modeling, and solved using various mathematical methods. We present explicit analytical solutions for several families of Langevin differential equations with general fractional orders, both homogeneous and inhomogeneous cases. The results can be written, in general and special cases, by means of a recently defined bivariate Mittag-Leffler function and the associated operators of fractional calculus. The novelty of this work is to apply an appropriate norm on the proof of existence and uniqueness theorem, and discuss the application of Langevin differential equation with fractional orders in several interesting case to the electrical circuit theory.},
keywords = {},
pubstate = {published},
tppubtype = {proceedings}
}