On a Hadamard-type fractional turbulent flow model with deviating arguments in a porous medium

DOI10.15388/NA.2017.6.3zbMath1441.76046OpenAlexW2793335242MaRDI QIDQ4968165

Taoli Wang, Xiao-Jun Yang, Guotao Wang

Publication date: 12 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.2017.6.3

zbMATH Keywords

deviating argumentsfractional turbulent flow modelHadamard fractional derivation

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Flows in porous media; filtration; seepage (76S05) Turbulence (76F99) Fractional ordinary differential equations (34A08) Mathematical modeling or simulation for problems pertaining to fluid mechanics (76-10)

Related Items (11)

Existence of solutions for several higher-order Hadamard-type fractional differential equations with integral boundary conditions on infinite interval ⋮ Caputo-Hadamard fractional differential equation with impulsive boundary conditions ⋮ Nonlocal Hadamard fractional boundary value problem with Hadamard integral and discrete boundary conditions on a half-line ⋮ Multiple positive solutions for a system of \((p_1, p_2, p_3)\)-Laplacian Hadamard fractional order BVP with parameters ⋮ Exponential stabilization of fractional-order continuous-time dynamic systems via event-triggered impulsive control ⋮ Iterative approximation of positive solutions for fractional boundary value problem on the half-line ⋮ A theoretical study of the fractional-order \(p\)-Laplacian nonlinear Hadamard type turbulent flow models having the Ulam-Hyers stability ⋮ Eigenvalue problems for a class of nonlinear Hadamard fractional differential equations with p-Laplacian operator ⋮ Stability analysis of nonlinear Hadamard fractional differential system ⋮ Monotone iterative method for a \(p\)-Laplacian boundary value problem with fractional conformable derivatives ⋮ Maximum principle and its application to multi-index Hadamard fractional diffusion equation

Cites Work

• Unnamed Item
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• Unnamed Item
• Maximum principles for multi-term space-time variable-order fractional diffusion equations and their applications
• The eigenvalue for a class of singular \(p\)-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition
• Qualitative analysis for solutions of a certain more generalized two-dimensional fractional differential system with Hadamard derivative
• Positive solutions for eigenvalue problems of fractional differential equation with generalized \(p\)-Laplacian
• Explicit iteration and unbounded solutions for fractional integral boundary value problem on an infinite interval
• Existence and uniqueness of solutions to stochastic functional differential equations in infinite dimensions
• Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter
• Explicit iterations and extremal solutions for fractional differential equations with nonlinear integral boundary conditions
• A new numerical technique for solving the local fractional diffusion equation: two-dimensional extended differential transform approach
• Existence results for an impulsive fractional integro-differential equation with state-dependent delay
• A boundary value problem for fractional differential equation with \(p\)-Laplacian operator at resonance
• Monotone iterative technique for boundary value problems of a nonlinear fractional differential equation with deviating arguments
• Existence results for an impulsive neutral stochastic fractional integro-differential equation with infinite delay
• 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
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Compositions of Hadamard-type fractional integration operators and the semigroup property
• Explicit iteration to Hadamard fractional integro-differential equations on infinite domain
• Analytic investigation of a reaction-diffusion Brusselator model with the time-space fractional derivative
• Solvability of fractional boundary value problems with \(p\)-Laplacian operator
• Nonlocal fractional order differential equations with changing-sign singular perturbation
• Positive solutions for a class of singular fractional differential equation with infinite-point boundary value conditions
• The uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium
• On a nonlinear Hadamard type fractional differential equation with p-Laplacian operator and strip condition
• On some operators involving Hadamard derivatives
• A fully Hadamard type integral boundary value problem of a coupled system of fractional differential equations
• Hadamard-type integrals as G-transforms
• Symbolic computation of exact solutions for fractional differential-difference equation models
• An analytic approach to a class of fractional differential‐difference equations of rational type via symbolic computation
• Basic Theory of Fractional Differential Equations
• Exact solutions for fractional DDEs via auxiliary equation method coupled with the fractional complex transform
• Positive solutions of nonlinear fractional differential equations with integral boundary value conditions

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