Existence of positive solutions for \(m\)-point boundary value problem for nonlinear fractional differential equation

DOI10.1155/2011/986575zbMath1222.34006OpenAlexW2099394360WikidataQ58654595 ScholiaQ58654595MaRDI QIDQ554976

Wafa M. Shammakh, Moustafa El-Shahed

Publication date: 22 July 2011

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/986575

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 (6)

Multiple positive solutions to singular positone and semipositone \(m\)-point boundary value problems of nonlinear fractional differential equations ⋮ Study of a class of arbitrary order differential equations by a coincidence degree method ⋮ Existence and uniqueness of solutions for fractional order m-point boundary value problems ⋮ Positive solutions depending on parameters for a nonlinear fractional system with \(p\)-Laplacian operators ⋮ Existence of positive solutions for a fractional high-order three-point boundary value problem ⋮ Unnamed Item

Cites Work

• Nontrivial solutions for a nonlinear multi-point boundary value problem of fractional order
• 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
• Green's function and positive solutions of \(n\)th order \(m\)-point boundary value problem
• Boundary value problems for differential equations with fractional order and nonlocal conditions
• Three positive solutions for a nonlinear \(n\)th-order \(m\)-point boundary value problem
• Positive solutions to singular boundary value problem for nonlinear fractional differential equation
• Nonlocal and multiple-point boundary value problem for fractional differential equations
• Existence of positive solutions of the boundary value problem for 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
• Loss of positivity in a nonlinear second order ordinary differential equations
• On positive solutions of a nonlocal fractional boundary value problem
• Multiple positive solutions for \(n\)th order multipoint boundary value problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Existence of positive solutions for \(m\)-point boundary value problem for nonlinear fractional differential equation