Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability

DOI10.1515/dema-2020-0012zbMath1450.34056OpenAlexW3042331251MaRDI QIDQ2193994

Stepan Agop Tersian, Snezhana G. Hristova

Publication date: 25 August 2020

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2020-0012

zbMATH Keywords

impulsesRiemann-Liouville fractional derivativefinite time stabilityconstant delay

Mathematics Subject Classification ID

Functional-differential equations with impulses (34K45) Stability theory of functional-differential equations (34K20) Linear functional-differential equations (34K06) Functional-differential equations with fractional derivatives (34K37) Finite-time stability (93D40)

Related Items (3)

Remarks on asymptotic regularity in A-metric spaces ⋮ Extension of Darbo’s fixed point theorem via shifting distance functions and its application ⋮ A criterion for the existence of the unique periodic solution of one-dimensional periodic differential equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations
• A survey on impulsive fractional differential equations
• Finite time stability of fractional delay differential equations
• Finite time stability analysis of \(PD^\alpha\) fractional control of robotic time-delay systems
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• New criteria for finite-time stability of nonlinear fractional-order delay systems: A Gronwall inequality approach
• Representation of solution of a Riemann-Liouville fractional differential equation with pure delay
• Basic concepts of Riemann-Liouville fractional differential equations with non-instantaneous impulses
• Finite-time stability analysis of fractional order time-delay systems: Gronwall's approach
• Finite time stability and relative controllability of Riemann‐Liouville fractional delay differential equations

This page was built for publication: Scalar linear impulsive Riemann-Liouville fractional differential equations with constant delay-explicit solutions and finite time stability