Iterative algorithm and estimation of solution for a fractional order differential equation

DOI10.1186/s13661-016-0608-5zbMath1383.35249OpenAlexW2433558932WikidataQ59465332 ScholiaQ59465332MaRDI QIDQ737129

Benchawan Wiwatanapataphee, Jing Wu, Xin Guang Zhang, Li Shan Liu, Yong-Hong Wu

Publication date: 8 August 2016

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13661-016-0608-5

zbMATH Keywords

\(p\)-Laplacian operatornonlocal boundary value problemfractional order turbulent flow modeliterated algorithm

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Fractional partial differential equations (35R11)

Related Items

A novel approach to a time-dependent-coefficient WBK system: doubly periodic waves and singular nonlinear dynamics, Existence of positive solutions for third-order semipositone boundary value problems on time scales, The convergence analysis and uniqueness of blow-up solutions for a Dirichlet problem of the general \(k\)-Hessian equations, Positive solutions for a weakly singular Hadamard-type fractional differential equation with changing-sign nonlinearity, Complex dynamic behaviors of a congestion control system under a novel \(\mathrm{PD}^{\frac{1}{n}}\) control law: stability, bifurcation and periodic oscillations, Extremal solutions for a class of tempered fractional turbulent flow equations in a porous medium, Iterative analysis of the unique positive solution for a class of singular nonlinear boundary value problems involving two types of fractional derivatives with \(p\)-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, CONVERGENCE ANALYSIS OF ITERATIVE SCHEME AND ERROR ESTIMATION OF POSITIVE SOLUTION FOR A FRACTIONAL DIFFERENTIAL EQUATION, A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator, Existence of solutions for integral boundary value problems of singular Hadamard-type fractional differential equations on infinite interval, Rational waves and complex dynamics: analytical insights into a generalized nonlinear Schrödinger equation with distributed coefficients

Cites Work

• Unnamed Item
• The eigenvalue for a class of singular \(p\)-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition
• The spectral analysis for a singular fractional differential equation with a signed measure
• The uniqueness of positive solution for a singular fractional differential system involving derivatives
• Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations
• The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives
• On a fractional boundary value problem with fractional boundary conditions
• Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
• Existence of a positive solution to a first-order \(p\)-Laplacian BVP on a time scale
• Positive solutions to boundary value problems with nonlinear boundary conditions
• The existence of a positive solution to a second-order delta-nabla \(p\)-Laplacian BVP on a time scale
• An anti-periodic boundary value problem for the fractional differential equation with a \(p\)-Laplacian operator
• Uniqueness of solution for boundary value problems for fractional differential equations
• Pairs of positive solutions for \(p\)-Laplacian equations with sublinear and superlinear nonlinearities which do not satisfy the AR-condition
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Multiplicity results for second-order two-point boundary value problems with superlinear or sublinear nonlinearities
• Multiple positive solutions of a singular fractional differential equation with negatively perturbed term
• The fractional-order SIS epidemic model with variable population size
• Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
• Nonlocal fractional order differential equations with changing-sign singular perturbation
• Extremal solutions for \(p\)-Laplacian differential systems via iterative computation
• The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium
• Extremal solutions for nonlinear fractional boundary value problems with \(p\)-Laplacian
• The iterative solutions of nonlinear fractional differential equations
• Positive solutions of fourth-order four-point boundary value problems with \(p\)-Laplacian operator
• Superlinear and sublinear focal boundary value problems
• Positive solutions for boundary value problem of nonlinear fractional differential equation
• On the sublinear and superlinear rate of convergence of conjugate gradient methods
• Positive solutions for a fractional boundary value problem