The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations

From MaRDI portal

Publication:718516

Jump to:navigation, search

DOI10.1016/j.cnsns.2010.08.017zbMath1221.34068OpenAlexW2063534210MaRDI QIDQ718516

Yige Zhao, Shurong Sun, Zhenlai Han, Qiuping Li

Publication date: 23 September 2011

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.2010.08.017

zbMATH Keywords

positive solution boundary value problem fixed-point theorem fractional Green's function fractional differential equation lower and upper solution method

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (only showing first 100 items - show all)

Existence on positive solutions for boundary value problems of nonlinear fractional differential equations with \(p\)-Laplacian ⋮ Positive solutions for integral boundary value problem of two-term fractional differential equations ⋮ Existence of solutions for integral boundary value problems of mixed fractional differential equations under resonance ⋮ Existence of solutions to boundary value problem of a class of nonlinear fractional differential equations ⋮ Triple positive solutions for two classes of delayed nonlinear fractional FDEs with nonlinear integral boundary value conditions ⋮ Existence results for hybrid fractional integro-differential equations ⋮ Unique positive solution for a \(p\)-Laplacian fractional differential boundary value problem involving Riemann-Stieltjes integral ⋮ Langevin equation with nonlocal boundary conditions involving a \(\psi\)-Caputo fractional operators of different orders ⋮ Existence and approximation of solutions to fractional order hybrid differential equations ⋮ Uniqueness of positive solutions for boundary value problems of singular fractional differential equations ⋮ Existence and multiplicity of solutions for fractional differential equations with parameters ⋮ Existence results for boundary value problems of fractional functional differential equations with delay ⋮ Positive solutions for eigenvalue problems of fractional differential equation with generalized \(p\)-Laplacian ⋮ Existence of solutions for fractional \(q\)-difference equation with mixed nonlinear boundary conditions ⋮ Solvability of a coupled system of nonlinear fractional differential equations with fractional integral conditions ⋮ Solvability of boundary value problems of nonlinear fractional differential equations ⋮ The existence of solutions for boundary value problems of fractional differential inclusion with a parameter ⋮ Boundary value problems for fractional differential equations with nonlocal boundary conditions ⋮ Solvability of boundary value problems for impulsive fractional differential equations via critical point theory ⋮ Existence and uniqueness of solutions for a coupled system of multi-term nonlinear fractional differential equations ⋮ Existence and multiplicity results for a class of fractional differential inclusions with boundary conditions ⋮ Existence of solutions of boundary value problems for singular fractional \(q\)-difference equations ⋮ Bifurcation of positive solutions for a three-point boundary-value problem of nonlinear fractional differential equations ⋮ Existence results of fractional integro-differential equations with \(m\)-point multi-term fractional order integral boundary conditions ⋮ Positive solutions for nonlinear fractional differential equations with boundary conditions involving Riemann-Stieltjes integrals ⋮ A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions ⋮ Unnamed Item ⋮ The existence of solutions to a class of boundary value problems with fractional difference equations ⋮ Existence results for a class of boundary value problems for fractional differential equations ⋮ Constructive existence of solutions of multi-point boundary value problem for Hilfer fractional differential equation at resonance ⋮ On nonlocal integral and derivative boundary value problem of nonlinear Hadamard Langevin equation with three different fractional orders ⋮ Positive solutions for a boundary-value problem with Riemann-Liouville fractional derivative ⋮ Uniqueness of positive solutions for a perturbed fractional differential equation ⋮ The existence of solutions to a system of discrete fractional boundary value problems ⋮ Positive solutions of nonlinear eigenvalue problems for a nonlocal fractional differential equation ⋮ Positive solutions to boundary value problems of nonlinear fractional differential equations ⋮ On a nonlinear fractional differential equation on partially ordered metric spaces ⋮ Boundary value problems for fractional differential equation with causal operators ⋮ Positive solutions of singular fractional boundary value problem with p-Laplacian ⋮ Singular boundary value problems of fractional differential equations with changing sign nonlinearity and parameter ⋮ Uniqueness of positive solutions for a class of fractional boundary value problems ⋮ The existence of solutions for boundary value problem of fractional hybrid differential equations ⋮ Positive solutions for a coupled system of nonlinear differential equations of mixed fractional orders ⋮ Three-point boundary value problems of fractional functional differential equations with delay ⋮ Theory of fractional hybrid differential equations with linear perturbations of second type ⋮ The existence and uniqueness of solutions to boundary value problems of fractional difference equations ⋮ Positive solutions for multi-point boundary value problems for nonlinear fractional differential equations ⋮ Existence and uniqueness of solutions for initial value problem of nonlinear fractional differential equations ⋮ Existence and uniqueness of positive solutions of boundary-value problems for fractional differential equations with \(p\)-Laplacian operator and identities on the some special polynomials ⋮ Investigating a Class of Nonlinear Fractional Differential Equations and Its Hyers-Ulam Stability by Means of Topological Degree Theory ⋮ Solvability for some class of multi-order nonlinear fractional systems ⋮ Solutions to fractional differential equations involving integral boundary conditions ⋮ Theory of fractional hybrid differential equations ⋮ Existence of solutions for a singular system of nonlinear fractional differential equations ⋮ Multi-point boundary value problems for a class of Riemann-Liouville fractional differential equations ⋮ Solvability of a class of higher-order fractional two-point boundary value problem ⋮ Existence of positive solutions for eigenvalue problem of nonlinear fractional differential equations ⋮ Positive solutions to a fractional-order two-point boundary value problem with \(p\)-Laplacian operator ⋮ Multiplicity of positive solutions for Sturm-Liouville boundary value problems of fractional differential equations with \(p\)-Laplacian ⋮ New approach on the solutions of nonlinear \(q\)-hybrid integro-differential equations ⋮ Existence and nonexistence of positive solutions for a system of nonlinear singular fractional differential equations ⋮ Existence of solutions for a class of fractional Hamiltonian systems with impulsive effects ⋮ Existence of three positive solutions for a class of boundary value problems of Caputo fractional \(q\)-difference equation ⋮ Boundary value problems for fractional differential equations ⋮ SOLVABILITY FOR NONLINEAR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH MULTI-ORDERS ⋮ Existence and uniqueness for a class of multi-term fractional differential equations ⋮ Positive solutions for boundary value problems of fractional differential equation with integral boundary conditions ⋮ Existence of positive solutions for a generalized and fractional ordered Thomas-Fermi theory of neutral atoms ⋮ Some existence results for a nonlinear fractional differential equation on partially ordered Banach spaces ⋮ Solvability of a three-point fractional nonlinear boundary value problem ⋮ Existence of positive solutions to a boundary value problem for a delayed nonlinear fractional differential system ⋮ Existence and uniqueness of nontrivial solutions for eigenvalue boundary value problem of nonlinear fractional differential equation ⋮ On nonlinear implicit fractional differential equations without compactness ⋮ Positive solutions of \(m\)-point multi-term fractional integral BVP involving time-delay for fractional differential equations ⋮ The existence of positive solutions for boundary value problem of the fractional Sturm-Liouville functional differential equation ⋮ Positive solutions for boundary value problems of nonlinear fractional differential equations ⋮ Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions ⋮ Positive solutions for nonlinear Caputo fractional differential equations with integral boundary conditions ⋮ Existence of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions and a parameter ⋮ Positive solutions for a fractional p-Laplacian boundary value problem ⋮ Uniqueness of successive positive solution for nonlocal singular higher-order fractional differential equations involving arbitrary derivatives ⋮ Existence of solutions for fractional differential equations with integral boundary conditions ⋮ Boundary value problems for fractional \(q\)-difference equations with nonlocal conditions ⋮ Positive solutions for impulsive fractional differential equations with generalized periodic boundary value conditions ⋮ Existence and uniqueness of solutions of initial value problems for nonlinear Langevin equation involving two fractional orders ⋮ Properties of positive solutions to a class of four-point boundary value problem of Caputo fractional differential equations with a parameter ⋮ Triple positive solutions for semipositone fractional differential equations m-point boundary value problems with singularities and p–q-order derivatives ⋮ Unnamed Item ⋮ Positive solutions for a class of fractional boundary value problems with fractional boundary conditions ⋮ Positive solution to a fractional boundary value problem ⋮ Discrete fractional order two-point boundary value problem with some relevant physical applications ⋮ Positivity for integral boundary value problems of fractional differential equations with two nonlinear terms ⋮ Non-linear boundary value problems involving Caputo derivatives of complex fractional order ⋮ Nonlocal boundary value problem for fractional differential equations with p‐Laplacian ⋮ EXISTENCE OF THREE POSITIVE SOLUTIONS FOR A CLASS OF RIEMANN-LIOUVILLE FRACTIONAL <i>Q</i>-DIFFERENCE EQUATION ⋮ Existence of positive solutions for a class of higher-order Caputo fractional differential equation ⋮ The existence of solutions for boundary value problems of two types fractional perturbation differential equations ⋮ Solvability for a couple system of nonlinear fractional differential equations in a Banach space ⋮ Unique positive solution for a fractional boundary value problem ⋮ Eigenvalue problems of fractional \(q\)-difference equations with generalized \(p\)-Laplacian

Cites Work

This page was built for publication: The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations

Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Publication:718516&oldid=12632767"