New unique existence criteria for higher-order nonlinear singular fractional differential equations

DOI10.15388/NA.2019.1.6OpenAlexW2906330395WikidataQ128730121 ScholiaQ128730121MaRDI QIDQ5225880

Hui Wang, Xiaoqiang Wang, Ling-Ling Zhang

Publication date: 29 July 2019

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

Full work available at URL: https://doi.org/10.15388/na.2019.1.6

zbMATH Keywords

fixed point theoremexistence and uniquenessthree-point boundary value problemsingular fractional differential equationssum-type operator

Mathematics Subject Classification ID

Boundary value problems for ordinary differential equations (34Bxx) General theory for ordinary differential equations (34Axx) Miscellaneous applications of operator theory (47Nxx)

Related Items (3)

Existence of an approximate solution for a class of fractional multi-point boundary value problems with the derivative term ⋮ Existence and uniqueness of nontrivial solution for nonlinear fractional multi-point boundary value problem with a parameter ⋮ Existence and uniqueness results for a class of singular fractional boundary value problems with the \(p\)-Laplacian operator via the upper and lower solutions approach

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
• The uniqueness of positive solution for a singular fractional differential system involving derivatives
• Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems
• The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives
• New fixed point theorems for mixed monotone operators and local existence-uniqueness of positive solutions for nonlinear boundary value problems
• Existence and uniqueness of strictly nondecreasing and positive solution for a fractional three-point boundary value problem
• Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
• Existence of a positive solution to a class of fractional differential equations
• Positive solutions for nonlinear operator equations and several classes of applications
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
• Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions
• Positive solutions for multipoint boundary value problems for singular fractional differential equations
• Existence and multiplicity of positive solutions for a class of fractional differential equations with three-point boundary value conditions
• A sum operator method for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems
• Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
• The unique solution of a class of sum mixed monotone operator equations and its application to fractional boundary value problems
• Coupled fixed points of nonlinear operators with applications
• Existence and uniqueness of positive solutions for singular fractional differential systems with coupled integral boundary conditions
• Existence of positive solutions to an arbitrary order fractional differential equation via a mixed monotone operator method
• Iterative unique positive solutions for singular p-Laplacian fractional differential equation system with several parameters
• Positive solutions for boundary value problem of nonlinear fractional differential equation

This page was built for publication: New unique existence criteria for higher-order nonlinear singular fractional differential equations