Positive solutions of an abstract fractional semipositone differential system model for bioprocesses of HIV infection
From MaRDI portal
Publication:300110
DOI10.1016/j.amc.2015.01.080zbMath1338.92143OpenAlexW2088615732MaRDI QIDQ300110
Ying Wang, Xin Guang Zhang, Li Shan Liu, Yong-Hong Wu
Publication date: 23 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2015.01.080
positive solutionssemipositoneintegral boundary conditionsfixed point theorem in conefractional differential systemHIV infection model
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of positive solutions for a thermostat model
- Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations
- Existence of positive solution for semipositone fractional differential equations involving Riemann-Stieltjes integral conditions
- Existence and multiplicity of positive solutions for a system of fractional boundary value problems
- Existence of positive solutions for a class of nonlinear fractional differential equations with integral boundary conditions and a parameter
- Positive solution to nonzero boundary values problem for a coupled system of nonlinear fractional differential equations
- Positive solutions for a class of fractional boundary value problem with changing sign nonlinearity
- Nonlinear boundary value problems of fractional differential systems
- Positive solutions of superlinear semipositone singular Dirichlet boundary value problems
- Multiple positive solutions of singularly perturbed differential systems with different orders
- Existence of positive solutions for second-order semipositone differential equations on the half-line
- Multiple positive solutions of resonant and non-resonant nonlocal boundary value problems
- Nonlocal conjugate type boundary value problems of higher order
- A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells
- Mathematical analysis of delay differential equation models of HIV-1 infection
- Dynamics of HIV infection of CD4\(^ +\) T cells
- Multiple positive solutions of a singular fractional differential equation with negatively perturbed term
- Eigenvalue problem of nonlinear semipositone higher order fractional differential equations
- Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
- Unique solution of a coupled fractional differential system involving integral boundary conditions from economic model
- The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative
- Positive solutions for a class of fractional differential equations with integral boundary conditions
- On the existence of continuous solutions for a singular system of non-linear fractional differential equations
- Existence of positive solutions for a singular semipositone differential system
- Positive solutions of nonresonance semipositone singular Dirichlet boundary value problems
- POSITIVE SOLUTIONS OF NONLOCAL BOUNDARY VALUE PROBLEMS: A UNIFIED APPROACH
- Multiple positive solutions to systems of nonlinear semipositone fractional differential equations with coupled boundary conditions
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