A contraction fixed point theorem in partially ordered metric spaces and application to fractional differential equations

DOI10.1155/2012/856302zbMath1296.54097OpenAlexW2008581402WikidataQ58696956 ScholiaQ58696956MaRDI QIDQ1938313

Xiangbing Zhou, Wenquan Wu, Hongjiang Ma

Publication date: 4 February 2013

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

Full work available at URL: https://doi.org/10.1155/2012/856302

zbMATH Keywords

fixed pointexistence of solutionscomplete metric spacemultipoint boundary value problemfractional derivativefractional differential equationpartially ordered metric space

Mathematics Subject Classification ID

Complete metric spaces (54E50) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items

On a nonlinear fractional differential equation on partially ordered metric spaces, Some fixed point theorems for \(F(\psi,\varphi)\)-contractions and their application to fractional differential equations, Fixed point theorem for weakly Chatterjea-type cyclic contractions

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