Iterative analysis of the unique positive solution for a class of singular nonlinear boundary value problems involving two types of fractional derivatives with \(p\)-Laplacian operator

DOI10.1155/2019/2319062zbMath1440.34012OpenAlexW2981874938MaRDI QIDQ2008321

Yumei Zou, Li Shan Liu, Fang Wang, Yong-Hong Wu

Publication date: 25 November 2019

Published in: Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2019/2319062

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) 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) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (9)

Existence and multiplicity of positive solutions for a new class of singular higher-order fractional differential equations with Riemann-Stieltjes integral boundary value conditions ⋮ On the solvability and approximate solution of a one-dimensional singular problem for a \(p\)-Laplacian fractional differential equation ⋮ Monotone iterative schemes for positive solutions of a fractional differential system with integral boundary conditions on an infinite interval ⋮ Multiple positive solutions for a system of Caputo fractional \(p\)-Laplacian boundary value problems ⋮ Extremal solutions for a class of tempered fractional turbulent flow equations in a porous medium ⋮ Positive solutions for a fourth-order Riemann-Stieltjes integral boundary value problem ⋮ Existence and uniqueness of solutions for a class of higher-order fractional boundary value problems with the nonlinear term satisfying some inequalities ⋮ Existence of solutions for integral boundary value problems of singular Hadamard-type fractional differential equations on infinite interval ⋮ Explicit monotone iterative sequences for positive solutions of a fractional differential system with coupled integral boundary conditions on a half-line

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