On existence and uniqueness of positive solutions to a class of fractional boundary value problems

DOI10.1186/1687-2770-2011-25zbMath1273.34005OpenAlexW2164342224WikidataQ59268546 ScholiaQ59268546MaRDI QIDQ359533

Josefa Caballero, Kishin Sadarangani, J. Harjani

Publication date: 12 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-25

zbMATH Keywords

positive solutionfixed-point theoremfractional boundary value problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) 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 (8)

Uniqueness results for fully anti-periodic fractional boundary value problems with nonlinearity depending on lower-order derivatives ⋮ On the existence of solutions of fractional integro-differential equations ⋮ Existence of solution for delay fractional differential equations ⋮ Positive solutions in the space of Lipschitz functions for fractional boundary value problems with integral boundary conditions ⋮ Positive solutions for fractional differential equations from real estate asset securitization via new fixed point theorem ⋮ Multiple positive solutions and stability results for nonlinear fractional delay differential equations involving p ‐Laplacian operator ⋮ Positive solutions to singular fractional differential system with coupled boundary conditions ⋮ Unique solution of a coupled fractional differential system involving integral boundary conditions from economic model

Cites Work

• Fixed point theorems for weakly contractive mappings in partially ordered sets
• Basic theory of fractional differential equations
• Theory of fractional functional differential equations
• On positive solutions of a nonlocal fractional boundary value problem
• Existence of three positive solutions for some second-order boundary value problems
• Positive solutions for nonlinear fractional differential equations with coefficient that changes sign
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Differential equations of fractional order:methods results and problem —I
• Positive solutions for boundary value problem of nonlinear fractional differential equation

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