Attractivity and Asymptotic Stability in Hilfer-Katugampola Fractional Differential Equations

Abstract:

In this manuscript, sufficient conditions for the existence and uniqueness of solutions to the Hilfer-Katugampola Fractional Differential Equations, characterized by two parameters, ϰ and ς (ς≤1 and ϰ>1), which generalize classical fractional differential equations are established. By a fixed point technique and the results of fractional calculus, the local asymptotic stability of the attractive solution is analyzed. Two numerical examples are provided in order to illustrate the attractivity results.

Año de publicación:

2026

Keywords:

• Asymptotic stability
• Attractivity
• Fixed point technique
• Fractional Calculus
• Hilfer-Katugampola fractional differential equations

Fuente:

scopus