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Existence Results for Systems of Nonlinear Caputo Fractional Differential Equations

Existence Results for Systems of Nonlinear Caputo Fractional Differential Equations
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摘要 We aim, in this work, to demonstrate the existence of minimal and maximal coupled quasi-solutions for nonlinear Caputo fractional differential systems with order q ∈ (1,2). Our approach is based on mixed monotone iterative techniques developed under the concept of lower and upper quasi-solutions. Our results extend those obtained for ordinary differential equations and fractional ones. We aim, in this work, to demonstrate the existence of minimal and maximal coupled quasi-solutions for nonlinear Caputo fractional differential systems with order q ∈ (1,2). Our approach is based on mixed monotone iterative techniques developed under the concept of lower and upper quasi-solutions. Our results extend those obtained for ordinary differential equations and fractional ones.
作者 Faten Toumi Faten Toumi(College of Business Administration, King Faisal University, Ahsaa, Saudi Arabia)
出处 《Applied Mathematics》 2023年第3期182-195,共14页 应用数学(英文)
关键词 Mixed Quasi-Monotone Property Coupled Lower and Upper Solutions Mon-otone Method Nonlinear Fractional Differential System Mixed Quasi-Monotone Property Coupled Lower and Upper Solutions Mon-otone Method Nonlinear Fractional Differential System
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