On Multi Order Nonlinear Langevin Type of $$\mathbb {FDE}$$ Subject to Multi-Point Boundary Conditions

This research paper is about studying complicated equations called multi-order nonlinear fractional Langevin differential equations. These equations are analyzed when they have specific conditions at multiple points. The paper uses two mathematical tools, the Banach contraction principle and Schaefe...

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Bibliographic Details
Published inQualitative theory of dynamical systems Vol. 24; no. 2
Main Authors Berhail, Amel, Alzabut, Jehad, Samei, Mohammad Esmael
Format Journal Article
LanguageEnglish
Published 01.04.2025
Online AccessGet full text
ISSN1575-5460
1662-3592
1662-3592
DOI10.1007/s12346-024-01211-9

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Summary:This research paper is about studying complicated equations called multi-order nonlinear fractional Langevin differential equations. These equations are analyzed when they have specific conditions at multiple points. The paper uses two mathematical tools, the Banach contraction principle and Schaefer’s fixed point theorem, to show that there is only one solution for the given equation. Moreover, we thoroughly study and analyze the stability of the solutions. To help understand the ideas we talked about, we will give related examples.
ISSN:1575-5460
1662-3592
1662-3592
DOI:10.1007/s12346-024-01211-9