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Existence Results for Systems of Nonlinear Caputo Fractional Differential Equations
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作者 Faten Toumi 《Applied Mathematics》 2023年第3期182-195,共14页
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 ite... 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. 展开更多
关键词 mixed quasi-monotone property Coupled Lower and Upper Solutions Mon-otone Method Nonlinear Fractional Differential System
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非线性边界值问题的最小解与最大解
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作者 张秀之 《南昌大学学报(理科版)》 CAS 1995年第4期323-329,共7页
讨论较广一类非线性边界值问题u”_i=f_i(t,u,u’_i)+g_i(t,u)t∈〔0,1〕,i=1,2,…,n.(1)B_μu≡α_μu(μ)+β_μu’(μ)=b_μ μ=0,1.(2)的最小解与最小解,其中... 讨论较广一类非线性边界值问题u”_i=f_i(t,u,u’_i)+g_i(t,u)t∈〔0,1〕,i=1,2,…,n.(1)B_μu≡α_μu(μ)+β_μu’(μ)=b_μ μ=0,1.(2)的最小解与最小解,其中f∈C〔I×R ̄n×R,R ̄n〕,g∈C〔I×R ̄n,R ̄n〕,R=(-∞,+∞).I=〔0,1〕α_μ,β_μ∈R_μ=0.1.b_μ∈R ̄n满足α_0,α_1,β_1≥0,β_0≤0.且α ̄2_μ+β ̄2_μ*>0μ=0,1.它推广并统一〔3〕~〔5〕的结果。 展开更多
关键词 NAGUMO条件 边值问题 非线性 最小解 最大解
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