Unique positive solution for a \(p\)-Laplacian fractional differential boundary value problem involving Riemann-Stieltjes integral

DOI10.3934/MATH.2020304zbMath1484.34049OpenAlexW3033522717MaRDI QIDQ2129846

Yuanyuan Ma, Cheng-Bo Zhai, Hong-Yu Li

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2020304

zbMATH Keywords

positive solutionsfractional \(p\)-Laplacian equationsRiemann-Stieltjes integral boundary condition

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11)

Related Items (2)

Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator ⋮ Iterative solutions for the differential equation with \(p\)-Laplacian on infinite interval

Cites Work

• Unnamed Item
• Unnamed Item
• The eigenvalue for a class of singular \(p\)-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary condition
• The solution for a class of sum operator equation and its application to fractional differential equation boundary value problems
• The spectral analysis for a singular fractional differential equation with a signed measure
• Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion
• On a coupled system of fractional differential equations with coupled nonlocal and integral boundary conditions
• A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations
• The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations
• A uniqueness method to a new Hadamard fractional differential system with four-point boundary conditions
• Unique positive solutions for fractional differential equation boundary value problems
• Local uniqueness of positive solutions for a coupled system of fractional differential equations with integral boundary conditions
• Existence results for impulsive fractional integro-differential equation of mixed type with constant coefficient and antiperiodic boundary conditions
• Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and \(p\)-Laplacian operator
• Exact iterative solution for an abstract fractional dynamic system model for bioprocess
• Unique solutions for a new coupled system of fractional differential equations
• The method of lower and upper solutions for the general boundary value problems of fractional differential equations with \(p\)-Laplacian
• Single upper-solution or lower-solution method for Langevin equations with two fractional orders
• The unique solution for a fractional \(q\)-difference equation with three-point boundary conditions
• Nonnegative solutions of initial value problems for Langevin equations involving two fractional orders
• Multiple positive solutions of a singular fractional differential equation with negatively perturbed term
• Solvability and numerical simulations for BVPs of fractional coupled systems involving left and right fractional derivatives
• Positive solutions for a system of nonlinear Hadamard fractional differential equations involving coupled integral boundary conditions
• Properties of Green's function and the existence of different types of solutions for nonlinear fractional BVP with a parameter in integral boundary conditions
• A singular fractional Kelvin-Voigt model involving a nonlinear operator and their convergence properties
• A coupled system of fractional differential equations on the half-line
• Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions
• Hyers-Ulam stability and existence of solutions for fractional differential equations with Mittag-Leffler kernel
• Nonlocal fractional order differential equations with changing-sign singular perturbation
• 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
• Stability analysis of nonlinear Hadamard fractional differential system
• Unique solutions for fractional \(q\)-difference boundary value problems via a fixed point method
• 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 uniqueness of positive solution for a fractional order model of turbulent flow in a porous medium
• Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with \(p\)-Laplacian
• Existence results for a coupled system of fractional differential equations with \(p\)-Laplacian operator and infinite-point boundary conditions
• Maximum and minimum solutions for a nonlocal \(p\)-Laplacian fractional differential system from eco-economical processes
• Uniqueness of positive solutions for several classes of sum operator equations and applications
• On the uniqueness of solutions for a class of fractional differential equations
• Nonlinear fractional integro-differential equations on unbounded domains in a Banach space
• Solutions for a class of Hadamard fractional boundary value problems with sign-changing nonlinearity
• Existence of positive solutions for integral boundary value problems of fractional differential equations on infinite interval
• Positive solutions for a class of integral boundary value condition of fractional differential equations with a parameter
• CONVERGENCE ANALYSIS OF ITERATIVE SCHEME AND ERROR ESTIMATION OF POSITIVE SOLUTION FOR A FRACTIONAL DIFFERENTIAL EQUATION
• Solutions for a System of Hadamard Fractional Differential Equations with Integral Conditions
• Stability analysis of a coupled system of nonlinear implicit fractional anti‐periodic boundary value problem
• Nonlocal q-fractional boundary value problem with Stieltjes integral conditions

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