SOLUTIONS TO DIFFERENTIAL EQUATIONS VIA FIXED POINT APPROACHES: NEW MATHEMATICAL FOUNDATIONS AND APPLICATIONS

DOI10.1017/S0004972722000557zbMath1503.34005OpenAlexW4281742066WikidataQ115336863 ScholiaQ115336863MaRDI QIDQ5097529

Saleh S. Almuthaybiri

Publication date: 25 August 2022

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972722000557

zbMATH Keywords

boundary value problemfluid dynamicsfractional differential equationEmden equationThomas-Fermi equationfixed point techniqueRus's contraction mapping theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fixed-point theorems (47H10) Applications of boundary value problems involving ordinary differential equations (34B60) Fractional ordinary differential equations (34A08)

Cites Work

• Unnamed Item
• Sharper existence and uniqueness results for solutions to fourth-order boundary value problems and elastic beam analysis
• Establishing existence and uniqueness of solutions to the boundary value problem involving a generalized Emden equation, embracing Thomas-Fermi-like theories
• Global existence theory for fractional differential equations: new advances via continuation methods for contractive maps
• SHARPER EXISTENCE AND UNIQUENESS RESULTS FOR SOLUTIONS TO THIRD-ORDER BOUNDARY VALUE PROBLEMS
• Existence and uniqueness of solutions to third-order boundary value problems: analysis in closed and bounded sets

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