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Stability Analysis of Fractional Order Differential Equations with Time Delays Lutfiah Dwi Ristiani; Selvi Angelina; Tavika Trirahma
International Journal of Applied Mathematics and Computing Vol. 1 No. 2 (2024): April : International Journal of Applied Mathematics and Computing
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62951/ijamc.v1i2.75

Abstract

This paper investigates the stability characteristics of fractional order differential equations (FODEs) incorporating time delays. Using the Lyapunov-Krasovskii method, we derive sufficient conditions for the stability of solutions to these delayed fractional systems. The theoretical findings are applied to several examples, including models of population dynamics and engineering systems. Numerical simulations validate the theoretical results, demonstrating the role of time delays in system behavior and stability.
Determinants of Digital Payment Adoption Among The Millennial Generation in Semarang City Tavika Trirahma; Edwin Zusrony; Myra Andriana
JURNAL ILMIAH EDUNOMIKA Vol. 9 No. 4 (2025): EDUNOMIKA
Publisher : ITB AAS Indonesia Surakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29040/jie.v9i4.17420

Abstract

This study investigates the impact of perceived ease, perceived security, and social influence on the acceptance of digital payments among millennials. This research use quantitative methodologies. The study employs primary data collected through online surveys with a Likert scale ranging from 1 to 5 points. The study population comprises all millennials residing in Semarang. The sample strategy employs non-random sampling via a purposeful sampling method. The overall number of participants is 80 millennials aged 28 to 40 years. The data analysis method employs multiple linear regression, and the data is processed with the SmartPLS 4.1.1.2 program. This study illustrates that both perceived simplicity and perceived security considerably and favorably affect the uptake of digital payments. Social influence is a factor that does not substantially impact the adoption of digital payments. This research provides benefits for the millennial generation in decision-making concerning the use of digital payment applications, shaped by many exogenous variables affecting endogenous variables.