Uniqueness of iterative positive solutions for the singular infinite-point p-Laplacian fractional differential system via sequential technique

DOI10.15388/namc.2020.25.19277zbMath1452.34012OpenAlexW3082296628MaRDI QIDQ5124306

Yan-Qing Feng, Li Shan Liu, Limin Guo

Publication date: 18 September 2020

Published in: Nonlinear Analysis: Modelling and Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15388/namc.2020.25.19277

zbMATH Keywords

singular problemmixed monotone operatorfractional differential systemiterative positive solutionsequential techniques

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Green's functions for ordinary differential equations (34B27) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

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Maximal and minimal iterative positive solutions for \(p\)-Laplacian Hadamard fractional differential equations with the derivative term contained in the nonlinear term ⋮ On solvability of some \(p\)-Laplacian boundary value problems with Caputo fractional derivative ⋮ On the solvability and approximate solution of a one-dimensional singular problem for a \(p\)-Laplacian fractional differential equation ⋮ Existence of multiple positive solutions for a class of infinite-point singular p-Laplacian fractional differential equation with singular source terms ⋮ On multiple positive solutions for singular fractional boundary value problems with Riemann-Stieltjes integrals ⋮ Existence of positive solutions for singular p-Laplacian Hadamard fractional differential equations with the derivative term contained in the nonlinear term ⋮ Existence results for multi-point boundary value problem to singular fractional differential equations with a positive parameter ⋮ Multiple positive solutions for higher-order fractional integral boundary value problems with singularity on space variable

Cites Work

• Unnamed Item
• Unnamed Item
• The eigenvalue for a class of singular \(p\)-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition
• Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
• The spectral analysis for a singular fractional differential equation with a signed measure
• Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
• Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter
• Nonlinear fractional differential equations with integral boundary value conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Uniqueness of solution for higher-order fractional differential equations with conjugate type integral conditions
• Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions
• Positive solutions for semipositone \((k,n-k)\) conjugate boundary value problems with singularities on space variables
• Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation with p-Laplacian Operator
• Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method
• Existence of positive solutions for singular fractional differential equations with infinite-point boundary conditions
• Iterative unique positive solutions for singular p-Laplacian fractional differential equation system with several parameters