Solvability of impulsive periodic boundary value problems for higher order fractional differential equations

DOI10.1007/S40065-016-0153-1zbMath1360.34016OpenAlexW2503341953WikidataQ59461417 ScholiaQ59461417MaRDI QIDQ508915

Yuji Liu

Publication date: 8 February 2017

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-016-0153-1

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary value problems with impulses for ordinary differential equations (34B37) Fractional ordinary differential equations (34A08)

Related Items (6)

Stability analysis of boundary value problems for Caputo proportional fractional derivative of a function with respect to another function via impulsive Langevin equation ⋮ Impulsive boundary value problems containing Caputo fractional derivative of a function with respect to another function ⋮ Solvability of anti-periodic BVPs for impulsive fractional differential systems involving Caputo and Riemann-Liouville fractional derivatives ⋮ Exact solutions and finite time stability for higher fractional‐order differential equations with pure delay ⋮ Boundary value problems for Caputo fractional differential equations with nonlocal and fractional integral boundary conditions ⋮ Existence and uniqueness theorems for a fractional differential equation with impulsive effect under band-like integral boundary conditions

Cites Work

• Unnamed Item
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• Existence and uniqueness of solutions for impulsive fractional differential equations
• Anti-periodic BVP of fractional order with fractional impulsive conditions and variable parameter
• On the concept of general solution for impulsive differential equations of fractional-order \(q\in(1, 2)\)
• Positive solutions for impulsive fractional differential equations with generalized periodic boundary value conditions
• On Caputo-Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions
• Basic theory of fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Differential quadrature solutions of eighth-order boundary-value differential equations
• On boundary value problems for impulsive fractional differential equations
• Solvability for a coupled system of fractional differential equations with impulses at resonance
• On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives
• Application of the generalized differential quadrature rule to eighth-order differential equations

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