Monotone iterative method for fractional differential equations with integral boundary conditions

DOI10.1155/2020/7319098zbMath1436.34007OpenAlexW3014006147MaRDI QIDQ2173556

Yumei Zou, Shiying Song, Hong-Yu Li

Publication date: 16 April 2020

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/7319098

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (1)

Monotone iterative technique for conformable fractional differential equations with deviating arguments

Cites Work

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• Monotone iterative sequences for nonlinear boundary value problems of fractional order
• Monotone iterative technique for boundary value problems of a nonlinear fractional differential equation with deviating arguments
• A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Extremal solutions for some periodic fractional differential equations
• Positive solutions for a class of fractional 3-point boundary value problems at resonance
• Monotone iterative technique for nonlinear boundary value problems of fractional order \(p\in(2,3\)]
• Existence results and the monotone iterative technique for nonlinear fractional differential systems involving fractional integral boundary conditions
• Existence and nonexistence of blow-up solutions for a Schrödinger equation involving a nonlinear operator
• Positive solutions for a fractional boundary value problem with a perturbation term
• Further extended Caputo fractional derivative operator and its applications
• Time-space fractional \((2+1)\) dimensional nonlinear Schrödinger equation for envelope gravity waves in baroclinic atmosphere and conservation laws as well as exact solutions
• Monotone iterative method for two-point fractional boundary value problems
• Positive solutions of fractional differential equations involving the Riemann-Stieltjes integral boundary condition
• Existence results and the monotone iterative technique for nonlinear fractional differential systems with coupled four-point boundary value problems
• Existence and asymptotic properties of solutions for a nonlinear Schrödinger elliptic equation from geophysical fluid flows
• Existence of uniqueness and nonexistence results of positive solution for fractional differential equations integral boundary value problems
• Lyapunov inequalities of left focal \(q\)-difference boundary value problems and applications
• Positive solutions for a system of fractional differential equations with two parameters
• Multiple positive solutions of a singular fractional differential equation with negatively perturbed term
• Two-grid finite element methods combined with Crank-Nicolson scheme for nonlinear Sobolev equations
• Minimal thinness with respect to the Schrödinger operator and its applications on singular Schrödinger-type boundary value problems
• A singular fractional Kelvin-Voigt model involving a nonlinear operator and their convergence properties
• Positive solutions for a class of two-term fractional differential equations with multipoint boundary value conditions
• The convergence analysis and error estimation for unique solution of a \(p\)-Laplacian fractional differential equation with singular decreasing nonlinearity
• Positive solutions for integral boundary value problem of two-term fractional differential equations
• Monotone iterative technique for periodic problem involving Riemann-Liouville fractional derivatives in Banach spaces
• Existence of solutions for integral boundary value problems of mixed fractional differential equations under resonance
• The convergence analysis and uniqueness of blow-up solutions for a Dirichlet problem of the general \(k\)-Hessian equations
• Symmetric results of a Hénon type elliptic equation
• Necessary conditions for the existence of positive solutions to fractional boundary value problems at resonance
• Monotone iterative technique for periodic boundary value problem of fractional differential equation in Banach spaces
• A two-grid MMOC finite element method for nonlinear variable-order time-fractional mobile/immobile advection-diffusion equations
• Positive solutions for a class of fractional difference systems with coupled boundary conditions
• Multiplicity results to a conformable fractional differential equations involving integral boundary condition
• Positive solutions for a system of fractional integral boundary value problems involving Hadamard-type fractional derivatives
• The iterative scheme and the convergence analysis of unique solution for a singular fractional differential equation from the eco-economic complex system's co-evolution process
• Maximum and minimum solutions for a nonlocal \(p\)-Laplacian fractional differential system from eco-economical processes
• Positive solutions for an infinite system of fractional order boundary value problems
• Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives
• Existence and multiplicity of nontrivial solutions for nonlinear fractional differential systems with p‐Laplacian via critical point theory
• Positive solutions of second-order problem with dependence on derivative in nonlinearity under Stieltjes integral boundary condition
• Positive properties of the Green function for two-term fractional differential equations and its application
• CONVERGENCE ANALYSIS OF ITERATIVE SCHEME AND ERROR ESTIMATION OF POSITIVE SOLUTION FOR A FRACTIONAL DIFFERENTIAL EQUATION
• Existence of solutions for second-order integral boundary value problems
• Existence and nonexistence of radial solutions of the Dirichlet problem for a class of general k-Hessian equations
• A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator
• The time-fractional mZK equation for gravity solitary waves and solutions using sech-tanh and radial basis function method
• SUCCESSIVE ITERATIONS FOR UNIQUE POSITIVE SOLUTION OF A NONLINEAR FRACTIONAL Q-INTEGRAL BOUNDARY VALUE PROBLEM
• POSITIVE SOLUTIONS FOR A NONLINEAR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM WITH A <inline-formula><tex-math id="M1">$ P $</tex-math></inline-formula>-LAPLACIAN OPERATOR
• The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach
• The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach

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