Open AccessOn a generalization of fractional Langevin equation with boundary conditions
Author(s) -
Zheng Kou,
Saeed Kosari
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022079
Subject(s) - langevin equation , uniqueness , generalization , mathematics , boundary value problem , boundary values , mathematical analysis , nonlinear system , work (physics) , fixed point theorem , mathematical physics , physics , statistical physics , thermodynamics , quantum mechanics
In this work, we consider a generalization of the nonlinear Langevin equation of fractional orders with boundary value conditions. The existence and uniqueness of solutions are studied by using the results of the fixed point theory. Moreover, the previous results of fractional Langevin equations are a special case of our problem.