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On the Global Existence of Solution and Lyapunov Asymptotic Practical Stability for Nonlinear Impulsive Caputo Fractional Derivative via Comparison Principle

Year: 2024

Type: article

Abstract: This paper examines the existence of maximal solution of the comparison differential system and also establishes sufficient conditions for the asymptotic practical stability of the trivial solution of a nonlinear impulsive Caputo fractional differential equations with fixed moments of impulse using the vector Lyapunov functions. First, it was discovered that the vector form of the Lyapunov function was majorized by the maximal solution of the comparison system. From the results obtained, it was also established that the main system is asymptotically practically stable in the sense of Lyapunov.

Source: Scholars Journal of Physics Mathematics and Statistics

DOI: 10.36347/sjpms.2024.v11i11.001

Authors: Ante, J. E, Abraham, E. E, Ebere, U. E, Udogworen, W. K, Akpan, C. S

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4404250761

FWCI: 1.53

Cites:

Cited by: 2

Related to: 10