Solutions for a System of Hadamard Fractional Differential Equations with Integral Conditions

DOI10.1080/01630563.2019.1620771zbMath1441.34019OpenAlexW2947113789MaRDI QIDQ5205865

Weixuan Wang, Cheng-Bo Zhai

Publication date: 17 December 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2019.1620771

zbMATH Keywords

existence and uniquenessHadamard fractional derivative\(\varphi-(h,r)\)-concave operator

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Green's functions for ordinary differential equations (34B27) 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 (11)

Unique positive solution for a \(p\)-Laplacian fractional differential boundary value problem involving Riemann-Stieltjes integral ⋮ Investigation of an implicit Hadamard fractional differential equation with Riemann-Stieltjes integral boundary condition ⋮ Extremal positive solutions for Hadamard fractional differential systems on an infinite interval ⋮ Qualitative behaviour of a Caputo fractional differential system ⋮ New results for higher‐order Hadamard‐type fractional differential equations on the half‐line ⋮ Generalized sine–cosine wavelet method for Caputo–Hadamard fractional differential equations ⋮ Solutions to fractional differential equations involving integral boundary conditions ⋮ Existence and uniqueness of positive solutions for a new system of fractional differential equations ⋮ Existence and uniqueness of periodic solutions for a system of differential equations via operator methods ⋮ Solvability of Langevin equations with two Hadamard fractional derivatives via Mittag–Leffler functions ⋮ Existence and uniqueness results for Riemann–Stieltjes integral boundary value problems of nonlinear implicit Hadamard fractional differential equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Eigenvalue problem for fractional differential equations with nonlinear integral and disturbance parameter in boundary conditions
• Boundary value problems for impulsive multi-order Hadamard fractional differential equations
• The solution for a class of sum operator equation and its application to fractional differential equation boundary value problems
• Existence of positive solutions for singular higher-order fractional differential equations with infinite-point boundary conditions
• Existence of solutions for fractional \(q\)-difference equation with mixed nonlinear boundary conditions
• Positive solutions for Hadamard fractional differential equations on infinite domain
• On the existence of positive solutions and negative solutions of singular fractional differential equations via global bifurcation techniques
• A survey on impulsive fractional differential equations
• Eigenvalue intervals for a class of fractional boundary value problem
• Positive solutions of fractional differential equations at resonance on the half-line
• Positive solutions for singular Hadamard fractional differential system with four-point coupled boundary conditions
• Uniqueness and existence of positive solutions for the fractional integro-differential equation
• On a sign-changing solution for some fractional differential equations
• Unbounded solutions to a boundary value problem of fractional order on the half-line
• Existence of solutions of initial value problems for nonlinear fractional differential equations on the half-axis
• Existence of three positive solutions of \(m\)-point boundary value problems for some nonlinear fractional differential equations on an infinite interval
• Impulsive fractional \(q\)-integro-difference equations with separated boundary conditions
• A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions
• Uniqueness of solution for boundary value problems for fractional differential equations
• A study of mixed Hadamard and Riemann-Liouville fractional integro-differential inclusions via endpoint theory
• A note on terminal value problems for fractional differential equations on infinite interval
• On Caputo-Hadamard type fractional impulsive hybrid systems with nonlinear fractional integral conditions
• On the existence of solution to a boundary value problem of fractional differential equation on the infinite interval
• Theory of fractional functional differential equations
• Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions
• A fractional \(q\)-difference equation with integral boundary conditions and comparison theorem
• Unique solutions for a new coupled system of fractional differential equations
• Successive iterations and positive extremal solutions for a Hadamard type fractional integro-differential equations on infinite domain
• The unique solution for a fractional \(q\)-difference equation with three-point boundary conditions
• A sum operator method for the existence and uniqueness of positive solutions to Riemann-Liouville fractional differential equation boundary value problems
• New results for boundary value problems of Hadamard-type fractional differential inclusions and integral 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
• On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives
• Study on some qualitative properties for solutions of a certain two-dimensional fractional differential system with Hadamard derivative
• On Hadamard fractional integro-differential boundary value problems
• \(\varphi\)-\((h,e)\)-concave operators and applications
• Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain
• Some properties of sets, fixed point theorems in ordered product spaces and applications to a nonlinear system of fractional differential equations
• Existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations with fractional integral boundary conditions
• Extremal system of solutions for a coupled system of nonlinear fractional differential equations by monotone iterative method
• On a nonlinear Hadamard type fractional differential equation with p-Laplacian operator and strip condition
• Uniqueness of positive solutions of fractional boundary value problems with non-homogeneous integral boundary conditions
• A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations
• Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval
• Existence and uniqueness of mild and classical solutions to fractional order Hadamard-type Cauchy problem
• Bifurcation analysis for a singular differential system with two parameters via to topological degree theory
• New uniqueness results for boundary value problem of fractional differential equation
• Positive solutions for singular coupled integral boundary value problems of nonlinear Hadamard fractional differential equations

This page was built for publication: Solutions for a System of Hadamard Fractional Differential Equations with Integral Conditions