Existence of solutions for the integral boundary value problems of fractional order impulsive differential equations

DOI10.1002/MMA.3495zbMath1333.34010OpenAlexW2140838905MaRDI QIDQ2786708

Mei Jia, Xi-Ping Liu

Publication date: 23 February 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3495

zbMATH Keywords

fixed point theoremCaputo derivativeintegral boundary value problemfractional differential equationimpulsive

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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 (11)

\(\varphi\)-\((h,e)\)-concave operators and applications ⋮ Existence of multiple positive solutions to integral boundary value systems with boundary multiparameters ⋮ The method of lower and upper solutions for mixed fractional four-point boundary value problem with \(p\)-Laplacian operator ⋮ Analysis of fractional integro-differential equation with Robin boundary conditions using topological degree method ⋮ Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions ⋮ A class of piecewise fractional functional differential equations with impulsive ⋮ Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval ⋮ Existence of solutions for a periodic boundary value problem with impulse and fractional derivative dependence ⋮ Boundary value problems of multi‐term fractional differential equations with impulse effects ⋮ Monotone iterative method for a \(p\)-Laplacian boundary value problem with fractional conformable derivatives ⋮ The positive solutions of fractional differential equation with Riemann-Stieltjes integral boundary conditions

Cites Work

• Unnamed Item
• Numerical and analytical solutions of new generalized fractional diffusion equation
• On recent developments in the theory of boundary value problems for impulsive fractional differential equations
• On the concept and existence of solution for impulsive fractional differential equations
• Three nonnegative solutions for fractional differential equations with integral boundary conditions
• Schaefer-Krasnoselskii fixed point theorems using a usual measure of weak noncompactness
• A sufficient condition for the existence of a positive solution for a nonlinear fractional differential equation with the Riemann-Liouville derivative
• Existence results for nonlinear impulsive hybrid boundary value problems involving fractional differential equations
• Existence of mild solutions for fractional neutral evolution equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Multiplicity of solutions for integral boundary value problems of fractional differential equations with upper and lower solutions

This page was built for publication: Existence of solutions for the integral boundary value problems of fractional order impulsive differential equations