The general solution of impulsive systems with Caputo-Hadamard fractional derivative of order \(q \in \mathbb{C}(\mathfrak{R}(q) \in(1,2))\)

DOI10.1155/2016/8101802zbMath1400.34017OpenAlexW2320979869WikidataQ59141265 ScholiaQ59141265MaRDI QIDQ1793625

Hui Peng, Xianzhen Zhang, Tong Shu, Zuohua Liu, Xianmin Zhang, Shiyong Yang

Publication date: 12 October 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/8101802

Mathematics Subject Classification ID

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

Related Items (4)

On the concept of general solution for impulsive differential equations of fractional-order \(q\in (2,3)\) ⋮ A class of fractional order systems with not instantaneous impulses ⋮ On the general solution of impulsive systems with Hadamard fractional derivatives ⋮ The general solution of differential equations with Caputo-Hadamard fractional derivatives and noninstantaneous impulses

Cites Work

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• On the concept of general solution for impulsive differential equations of fractional order \(q (0, 1)\)
• Impulsive fractional partial differential equations
• The general solution for impulsive differential equations with Riemann-Liouville fractional-order \(q\in (1,2)\)
• Caputo-type modification of the Hadamard fractional derivatives
• On the concept and existence of solution for impulsive fractional differential equations
• Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay
• Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order
• Systems of first order impulsive functional differential equations with deviating arguments and nonlinear boundary conditions
• A study of an impulsive four-point nonlocal boundary value problem of nonlinear fractional differential equations
• Some existence results for impulsive nonlinear fractional differential equations with mixed boundary conditions
• Sequential fractional differential equations with Hadamard derivative
• Impulsive boundary value problem for nonlinear differential equations of fractional order
• On the concept of general solution for impulsive differential equations of fractional-order \(q\in(1, 2)\)
• Mellin transform analysis and integration by parts for Hadamard-type fractional integrals
• Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order
• On Caputo modification of the Hadamard fractional derivatives
• Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
• Existence results for the three-point impulsive boundary value problem involving fractional differential equations
• Existence of solutions for impulsive integral boundary value problems of fractional order
• Compositions of Hadamard-type fractional integration operators and the semigroup property
• The general solution of differential equations with Caputo-Hadamard fractional derivatives and impulsive effect
• Existence and uniqueness results for Hadamard-type fractional differential equations with nonlocal fractional integral boundary conditions
• Stability analysis of impulsive functional systems of fractional order
• A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations

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