Numerical methods for solving initial value problems of some kinds of nonlinear impulsive fractional differential equations

DOI10.22436/jnsa.011.10.03zbMath1438.65147OpenAlexW2884286296WikidataQ129501163 ScholiaQ129501163MaRDI QIDQ5225350

Choehui Chol, Yuanfeng Jin, Paksun Ae, Gang Lu, Jongkum Song

Publication date: 22 July 2019

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.011.10.03

zbMATH Keywords

decomposition methoddifference methodCaputo fractional derivativeimpulsive fractional differential equationoperational matrix method

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Control problems involving ordinary differential equations (34H05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05)

Cites Work

• On the concept and existence of solution for impulsive fractional differential equations
• On the natural solution of an impulsive fractional differential equation of order \(q\in (1,2)\)
• Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term
• Systems of first order impulsive functional differential equations with deviating arguments and nonlinear boundary conditions
• Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Wavelet methods for solving fractional order differential equations
• Analysis of Caputo impulsive fractional order differential equations with applications
• An approximate solution of a nonlinear fractional differential equation by Adomian decomposition method
• An operational Haar wavelet method for solving fractional Volterra integral equations
• Impulsive fractional differential equations in Banach spaces
• Existence of solutions of abstract fractional impulsive semilinear evolution equations
• Existence of solution to a periodic boundary value problem for a nonlinear impulsive fractional differential equation
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