Solutions to fractional differential equations involving integral boundary conditions

DOI10.1080/10652469.2019.1703185zbMath1459.34017OpenAlexW3003742937MaRDI QIDQ5131843

Yaru Guo, Cheng-Bo Zhai

Publication date: 9 November 2020

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2019.1703185

zbMATH Keywords

fractional differential equations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Dilations, extensions, compressions of linear operators (47A20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Positive solutions for nonlinear semipositone fractional \(q\)-difference system with coupled integral boundary conditions
• Iterative solutions for a coupled system of fractional differential-integral equations with two-point boundary conditions
• Triple positive solutions for two classes of delayed nonlinear fractional FDEs with nonlinear integral boundary value conditions
• The solution for a class of sum operator equation and its application to fractional differential equation boundary value problems
• Iterative solution to singular \(n\)th-order nonlocal boundary value problems
• Uniqueness of iterative positive solutions for the singular fractional differential equations with integral boundary conditions
• Extremal solutions for \(p\)-Laplacian fractional integro-differential equation with integral conditions on infinite intervals via iterative computation
• Fixed point theorems for mixed monotone operators with perturbation and applications to fractional differential equation boundary value problems
• Positive solutions to boundary value problems of \(p\)-Laplacian with fractional derivative
• Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter
• On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions
• Uniqueness and existence of positive solutions for the fractional integro-differential equation
• Nonlinear fractional differential equations with integral boundary value conditions
• The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Mechanisms for the heat transfer enhancement in zero-mean oscillatory flows in short channels
• Iterative positive solutions for singular nonlinear fractional differential equation with integral boundary conditions
• Integro-differential fractional boundary value problem on an unbounded domain
• Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions
• Uniqueness of positive solutions for the singular fractional differential equations involving integral boundary value conditions
• Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and \(p\)-Laplacian operator
• Unique solutions for a new coupled system of fractional differential equations
• Positive solution for singular fractional differential equations involving derivatives
• The unique solution for a fractional \(q\)-difference equation with three-point boundary conditions
• Nonnegative solutions of initial value problems for Langevin equations involving two fractional orders
• Properties of positive solutions for the operator equation \(Ax=\lambda x\) and applications to fractional differential equations with integral boundary conditions
• A coupled system of fractional differential equations on the half-line
• Unique solutions for new fractional differential equations with \(p\)-Laplacian and infinite-point boundary conditions
• Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter
• Properties of positive solutions for \(m\)-point fractional differential equations on an infinite interval
• Unique solutions for fractional \(q\)-difference boundary value problems via a fixed point method
• Positive solutions for a system of fractional integral boundary value problems involving Hadamard-type fractional derivatives
• On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives
• The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium
• \(\varphi\)-\((h,e)\)-concave operators and applications
• Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with \(p\)-Laplacian
• Existence of nonnegative solutions for a fractional integro-differential equation
• On the uniqueness of solutions for a class of fractional differential equations
• Nonlinear fractional integro-differential equations on unbounded domains in a Banach space
• Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval
• Positive solutions for a class of integral boundary value condition of fractional differential equations with a parameter
• Solutions for a System of Hadamard Fractional Differential Equations with Integral Conditions
• Nonlocal q-fractional boundary value problem with Stieltjes integral conditions