Open AccessExistence solution of a system of differential equations using generalized Darbo's fixed point theorem
Author(s) -
Rahul Rahul,
India Manufacturing Jabalpur,
Nihar Kumar Mahato
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.2021773
Subject(s) - fixed point theorem , mathematics , fixed point , measure (data warehouse) , picard–lindelöf theorem , mathematical analysis , differential equation , point (geometry) , computer science , geometry , database
In this paper, we proposed a generalized of Darbo's fixed point theorem via the concept of operators $ S(\bullet; .) $ associated with the measure of noncompactness. Using this generalized Darbo fixed point theorem, we have given the existence of solution of a system of differential equations. At the end, we have given an example which supports our findings.