On Multi Order Nonlinear Langevin Type of FDE Subject to Multi-Point Boundary Conditions On Multi Order Nonlinear

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 Cham Springer International Publishing 01.04.2025
Subjects
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Mathematics
Mathematics and Statistics
Nonlinear equation
Multi-point
Schaefer’s fixed point theorem
Fractional Langevin equation
34A08
34B18
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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
DOI:10.1007/s12346-024-01211-9