Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance
DOI10.1186/s13662-017-1345-5zbMath1422.34070OpenAlexW2757518185WikidataQ59524040 ScholiaQ59524040MaRDI QIDQ1710032
Tingting Xue, Wei Zhang, Wenbin Liu
Publication date: 15 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-017-1345-5
resonancefractional differential systemmawhin continuation theoremSturm-Liouville boundary value conditions
Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)
Related Items (3)
Cites Work
- Unnamed Item
- Unnamed Item
- A survey on impulsive fractional differential equations
- Finite time stability of fractional delay differential equations
- Existence of solutions for fractional differential systems with antiperiodic boundary conditions
- Existence of a periodic mild solution for a nonlinear fractional differential equation
- Computing eigenelements of Sturm-Liouville problems of fractional order via fractional differential transform method
- Some new versions of fractional boundary value problems with slit-strips conditions
- Existence results for a coupled system of nonlinear fractional three-point boundary value problems at resonance
- New existence results for higher-order nonlinear fractional differential equation with integral boundary conditions
- Existence and uniqueness of solutions for coupled systems of higher-order nonlinear fractional differential equations
- Positive solutions for fractional four-point boundary value problems
- Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
- Solvability for a class of fractional \(m\)-point boundary value problem at resonance
- Solvability of fractional three-point boundary value problems with nonlinear growth
- Solvability of multi-point boundary value problems for multiple term Riemann-Liouville fractional differential equations
- Periodic boundary value problems for fractional differential equations involving a Riemann-Liouville fractional derivative
- Numerical solutions of coupled Burgers equations with time- and space-fractional derivatives
- Mathematical modeling of time fractional reaction-diffusion systems
- Solvability of a kind of Sturm-Liouville boundary value problems with impulses via variational methods
- Fractional calculus models of complex dynamics in biological tissues
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Existence and uniqueness of solutions for a higher-order coupled fractional differential equations at resonance
- Positive solutions to boundary value problems of a high-order fractional differential equation in a Banach space
- Multi-point boundary value problems for a coupled system of nonlinear fractional differential equations
- The existence of solutions for four-point coupled boundary value problems of fractional differential equations at resonance
- Center stable manifold for planar fractional damped equations
- A predictor-corrector approach for the numerical solution of fractional differential equations
- Application of Avery-Peterson fixed point theorem to nonlinear boundary value problem of fractional differential equation with the Caputo's derivative
- Infinitely many solutions for a class of fractional boundary value problems with Dirichlet boundary conditions
- Solvability of a coupled system of fractional differential equations with periodic boundary conditions at resonance
- Existence of positive solutions for a class of higher-order Caputo fractional differential equation
- Existence of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and a parameter
- On the numerical solution of fractional Sturm–Liouville problems
- PERIODIC BOUNDARY VALUE PROBLEM FOR FRACTIONAL DIFFERENTIAL EQUATION
- Existence results for a coupled system of nonlinear fractional differential equations with boundary value problems on an unbounded domain
This page was built for publication: Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance
