Stability and \(\psi\)-algebraic decay of the solution to \(\psi\)-fractional differential system

DOI10.1515/ijnsns-2021-0189OpenAlexW4200504320MaRDI QIDQ6106131

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Publication date: 27 June 2023

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ijnsns-2021-0189

zbMATH Keywords

stabilityMittag-Leffler functionlinearization theorem\(\psi\)-fractional derivative\(\psi\)-algebraic decay

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Fractional ordinary differential equations (34A08)

Related Items

The finite-time blow-up for semilinear fractional diffusion equations with time \(\psi\)-Caputo derivative ⋮ Asymptotics and large time behaviors of fractional evolution equations with temporal \(\psi \)-Caputo derivative ⋮ On the fractional derivatives with an exponential kernel ⋮ Limiting behaviour of non-autonomous Caputo-type time-delay systems and initial-time on the real number line ⋮ Impulsive \(\Psi \)-Caputo hybrid fractional differential equations with non-local conditions ⋮ Study of nonlocal boundary value problems for hybrid differential equations involving \(\psi \)-Caputo fractional derivative with measures of noncompactness

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