Positive solutions to \(n\)-dimensional \(\alpha_1+\alpha_2\) order fractional differential system with \(p\)-Laplace operator

DOI10.1186/s13662-019-2415-7zbMath1487.34047OpenAlexW2987951404MaRDI QIDQ2141979

Guo Chen, Huihui Pang, Tian Wang

Publication date: 25 May 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2415-7

zbMATH Keywords

positive solutionsfixed point theorem\(p\)-Laplace operatorfractional differential equation\(n\)-dimensionalmulti-strip boundary conditions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• The spectral analysis for a singular fractional differential equation with a signed measure
• Positive solution of singular fractional differential system with nonlocal boundary conditions
• Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
• The method of lower and upper solutions for mixed fractional four-point boundary value problem with \(p\)-Laplacian operator
• Positive solutions to boundary value problems of \(p\)-Laplacian with fractional derivative
• Existence of positive periodic solutions for \(n\)-dimensional functional differential equations with impulse effects
• Impulsive boundary value problems with integral boundary conditions and one-dimensional \(p\)-Laplacian
• Three positive fixed points of nonlinear operators on ordered Banach spaces
• Existence and uniqueness results for a coupled fractional order systems with the multi-strip and multi-point mixed boundary conditions
• Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions
• Existence of positive solutions for a singular nonlinear fractional differential equation with integral boundary conditions involving fractional derivatives
• Existence results for coupled nonlinear fractional differential equations equipped with nonlocal coupled flux and multi-point boundary conditions
• Positive solutions of fractional differential equations with \(p\)-Laplacian
• Positive solutions for fractional differential systems with nonlocal Riemann-Liouville fractional integral boundary conditions
• Exact iterative solution for an abstract fractional dynamic system model for bioprocess
• The shooting method and positive solutions of fourth-order impulsive differential equations with multi-strip integral boundary conditions
• The method of lower and upper solutions for the general boundary value problems of fractional differential equations with \(p\)-Laplacian
• Existence theory for fractional differential equations with non-separated type nonlocal multi-point and multi-strip boundary conditions
• Denumerably many positive solutions for a \(n\)-dimensional higher-order singular fractional differential system
• Existence criteria of solutions for a fractional nonlocal boundary value problem and degeneration to corresponding integer-order case
• Existence results for multi-term fractional differential equations with nonlocal multi-point and multi-strip boundary conditions
• Homoclinic solutions for \(n\)-dimensional \(p\)-Laplacian neutral differential systems with a time-varying delay
• Existence and nonexistence of positive solutions for fractional three-point boundary value problems with a parameter
• Symmetric positive solutions for fourth-order \(n\)-dimensional \(m\)-Laplace systems
• Positive solutions to fractional boundary-value problems with \(p\)-Laplacian on time scales
• A new definition of fractional derivative
• Existence results for the fractional differential equations with multi-strip integral boundary conditions
• Maximum and minimum solutions for a nonlocal \(p\)-Laplacian fractional differential system from eco-economical processes
• Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations

This page was built for publication: Positive solutions to \(n\)-dimensional \(\alpha_1+\alpha_2\) order fractional differential system with \(p\)-Laplace operator