On piecewise continuous solutions of higher order impulsive fractional differential equations and applications

DOI10.1016/J.AMC.2016.03.041zbMath1410.34050OpenAlexW2412940766MaRDI QIDQ1733542

Xianqiang Yang

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.03.041

zbMATH Keywords

Caputo derivativeRiemann-Liouville derivativeimpulse effectpiecewise continuous solutionhigher order fractional differential equation

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Fractional ordinary differential equations (34A08)

Related Items (12)

A novel approach to an impulsive feedback control with and without memory involvement ⋮ EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ Existence and simulation of positive solutions for \(m\)-point fractional differential equations with derivative terms ⋮ Solvability of anti-periodic BVPs for impulsive fractional differential systems involving Caputo and Riemann-Liouville fractional derivatives ⋮ Existence and finite-time stability of discrete fractional-order complex-valued neural networks with time delays ⋮ Chaos control of integer and fractional orders of chaotic Burke-Shaw system using time delayed feedback control ⋮ Some existence results for high order fractional impulsive differential equation on infinite interval ⋮ Unnamed Item ⋮ Stability analysis of fractional-order complex-valued neural networks with both leakage and discrete delays ⋮ A survey and new investigation on \((n,n-k)\)-type boundary value problems for higher order impulsive fractional differential equations ⋮ On the existence of solutions for impulsive fractional differential equations ⋮ Existence of solutions of multi-term fractional differential equations with impulse effects on a half line

Cites Work

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• A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Existence and non-existence of positive solutions of BVPs for fractional order elastic beam equations with a non-caratheodory nonlinearity
• Comments on the concept of existence of solution for impulsive fractional differential equations
• Response to ``Comments on the concept of existence of solution for impulsive fractional differential equations
• Impulsive fractional differential equations in Banach spaces
• Existence of solutions of abstract fractional impulsive semilinear evolution equations

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