Krasnosel'skii type hybrid fixed point theorems and their applications to fractional integral equations

DOI10.1155/2014/710746zbMath1473.47020OpenAlexW2167036838WikidataQ59040816 ScholiaQ59040816MaRDI QIDQ1724790

Sachin V. Bedre, B. S. Desale, S. M. Khairnar, Hari M. Srivastava

Publication date: 14 February 2019

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

Full work available at URL: https://doi.org/10.1155/2014/710746

zbMATH Keywords

existence of solutionsfractional integral equationsKrasnosel'skii-type hybrid fixed point theoremspartially ordered normed linear spaces

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Fractional ordinary differential equations (34A08)

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Cites Work

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• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Hybrid fixed point theory in partially ordered normed linear spaces and applications to fractional integral equations

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