Analysis of a coupled system of fractional differential equations via Krasnosel'skii-Precup fixed point index theorems in cones

DOI10.1216/jie.2024.36.299MaRDI QIDQ6631938

Nemat Nyamoradi, Bashir Ahmad

Publication date: 4 November 2024

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

zbMATH Keywords

boundary conditionssystemCaputo fractional derivativeKrasnosel'skii-Precup fixed point theorem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Green's functions for ordinary differential equations (34B27) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Cites Work

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• Variations on some finite-dimensional fixed-point theorems
• Existence results of positive solutions to boundary value problem for fractional differential equation
• Multiplicity results for operator systems via fixed point index
• Triple positive solutions for nonlocal fractional differential equations with singularities both on time and space variables
• A fixed point index approach to Krasnosel'skii-Precup fixed point theorem in cones and applications
• A vector version of Krasnosel'skiĭ's fixed point theorem in cones and positive periodic solutions of nonlinear systems
• Boundary Value Problems for Fractional Differential Equations and Systems
• Positive Solutions for a Singular System of Nonlinear Fractional Differential Equations

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