Open AccessQualitative analysis of nonlinear impulse langevin equation with helfer fractional order derivatives
Author(s) -
Rizwan Rizwan,
AUTHOR_ID,
Jung Rye Lee,
Choonkil Park,
Akbar Zada,
AUTHOR_ID,
AUTHOR_ID,
AUTHOR_ID
Publication year - 2022
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.2022345
Subject(s) - uniqueness , mathematics , nonlinear system , fixed point theorem , langevin equation , impulse (physics) , order (exchange) , fixed point , pure mathematics , mathematical analysis , physics , statistical physics , quantum mechanics , finance , economics
In this manuscript, a class of impulsive Langevin equation with Hilfer fractional derivatives is considered. Using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss existence, uniqueness and different types of Ulam-Hyers stability results of our proposed model, with the help of Banach's fixed point theorem. An example is provided at the end to illustrate our results.