Application of Avery-Peterson fixed point theorem to nonlinear boundary value problem of fractional differential equation with the Caputo's derivative
From MaRDI portal
Publication:1948185
DOI10.1016/j.cnsns.2012.04.010zbMath1263.35216OpenAlexW1992574746WikidataQ115358682 ScholiaQ115358682MaRDI QIDQ1948185
Publication date: 2 May 2013
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2012.04.010
Fixed-point theorems (47H10) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Fractional partial differential equations (35R11)
Related Items (9)
The existence of solutions for Sturm-Liouville differential equation with random impulses and boundary value problems ⋮ Nonlocal problems of fractional systems involving left and right fractional derivatives at resonance ⋮ Existence of solutions of four-point boundary value problems for fractional differential equations at resonance ⋮ Existence and uniqueness of global mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay ⋮ Existence of solutions for Sturm-Liouville boundary value problems of higher-order coupled fractional differential equations at resonance ⋮ Existence and uniqueness of the solutions for fractional differential equations with nonlinear boundary conditions ⋮ Solvability and numerical simulations for BVPs of fractional coupled systems involving left and right fractional derivatives ⋮ Electrical analogous in viscoelasticity ⋮ SOLVABILITY FOR RIEMANN-STIELTJES INTEGRAL BOUNDARY VALUE PROBLEMS OF BAGLEY-TORVIK EQUATIONS AT RESONANCE
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Positive solutions for a nonlocal fractional differential equation
- Triple positive solutions for a class of boundary value problem of second-order functional differential equations
- Positive solutions for fractional four-point boundary value problems
- Positive solutions for a class of singular fractional boundary value problems
- On four-point nonlocal boundary value problems of nonlinear integro-differential equations of fractional order
- Positive solutions to a new kind Sturm-Liouville-like four-point boundary value problem
- Positive solutions for boundary value problems of nonlinear fractional differential equation
- Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation
- Multiplicity results for second-order \(m\)-point boundary value problem
- Nagumo-type uniqueness result for fractional differential equations
- A Krasnoselskii-Krein-type uniqueness result for fractional differential equations
- Multiple positive solutions for second-order four-point boundary value problem
- Theory of fractional functional differential equations
- Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions
- On the fractional calculus in abstract spaces and their applications to the Dirichlet-type problem of fractional order
- Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
- Positive solutions for Dirichlet problems of singular nonlinear fractional differential equations
- Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
- Existence of a positive solution to a class of fractional differential equations
- Boundary value problem for a coupled system of nonlinear fractional differential equations
- A singular boundary value problem for nonlinear differential equations of fractional order
- The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application
- On positive solutions of a nonlocal fractional boundary value problem
- Three positive fixed points of nonlinear operators on ordered Banach spaces
- The existence of a positive solution for a nonlinear fractional differential equation
- Existence of positive solution for some class of nonlinear fractional differential equations
- Existence of positive solutions of nonlinear fractional differential equations
- Triple positive solutions for boundary value problems on infinite intervals
- Existence of three positive solutions for \(m\)-point boundary-value problems with one-dimensional \(p\)-Laplacian
- Existence of fractional differential equations
- Symmetric solutions of a multi-point boundary value problem
- Positive solutions for boundary value problem of nonlinear fractional differential equation
This page was built for publication: Application of Avery-Peterson fixed point theorem to nonlinear boundary value problem of fractional differential equation with the Caputo's derivative
