The general solution of differential equations with Caputo-Hadamard fractional derivatives and impulsive effect
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Publication:1622684
DOI10.1186/s13662-015-0552-1zbMath1422.34082OpenAlexW1595505728WikidataQ59434784 ScholiaQ59434784MaRDI QIDQ1622684
Publication date: 19 November 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-015-0552-1
Ordinary differential equations with impulses (34A37) Fractional ordinary differential equations (34A08)
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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
- Caputo-type modification of the Hadamard fractional derivatives
- Darboux problem for impulsive partial hyperbolic differential equations of fractional order with variable times and infinite delay
- Sequential fractional differential equations with Hadamard derivative
- Impulsive boundary value problem for nonlinear differential equations of fractional order
- 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
- A generalized Gronwall inequality and its application to a fractional differential equation
- Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay
- Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- Analytic study on linear systems of fractional differential equations
- Existence results for the three-point impulsive boundary value problem involving fractional differential equations
- On positive solutions of a nonlocal fractional boundary value problem
- Existence of solutions for impulsive integral boundary value problems of fractional order
- Compositions of Hadamard-type fractional integration operators and the semigroup property
- Existence and uniqueness results for Hadamard-type fractional differential equations with nonlocal fractional integral boundary conditions
- Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory
- Stability analysis of impulsive functional systems of fractional order
- Existence results for fractional order functional differential equations with infinite delay
- Smoothness and stability of the solutions for nonlinear fractional differential equations
- A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations