Existence and uniqueness of positive solutions for integral boundary problems of nonlinear fractional differential equations with \(p\)-Laplacian operator

DOI10.1216/RMJ-2014-44-3-953zbMath1319.34012MaRDI QIDQ457953

Sihua Liang, Ji Hui Zhang

Publication date: 30 September 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1411945673

zbMATH Keywords

positive solutionpartially ordered setsfixed-point theoremfractional differential equationlower and upper solution method

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items

Positive solution for a fractional singular boundary value problem with \(p\)-Laplacian operator ⋮ Existence of solutions of fractional boundary value problems with \(p\)-Laplacian operator ⋮ Existence of positive solutions for integral boundary value problems of fractional differential equations with \(p\)-Laplacian ⋮ Existence theorems and Hyers-Ulam stability for a coupled system of fractional differential equations with \(p\)-Laplacian operator ⋮ Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator ⋮ Positive solutions for a system of nonlinear fractional nonlocal boundary value problems with parameters and \(p\)-Laplacian operator ⋮ On the existence and uniqueness of positive solutions for a p-Laplacian fractional boundary value problem with an integral boundary condition with a parameter ⋮ Existence of positive solutions for systems of nonlinear fractional differential equation with p-Laplacian ⋮ Positive solutions of fractional \(p\)-Laplacian equations with integral boundary value and two parameters

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