A Krasnoselskii–Krein-type uniqueness result for fractional differential equations

By V. Lakshmikantham, S. Leela. 2009

76 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/c2252d18deae875e97e1105aaad409b6dcd26ba6

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In Applied Mathematics

1. Yinghan Zhang
2. Zhimin He
3. Yufeng Xu
4. Chengjun Yuan
5. Zhanbing Bai
6. C. Sin
7. Yuri Luchko
8. Vasily E. Tarasov

In Modeling and Simulation

1. Yinghan Zhang
2. Zhimin He
3. Yufeng Xu
4. Zhanbing Bai
5. Chengjun Yuan
6. C. Sin
7. Yuri Luchko
8. Vasily E. Tarasov

Citations in the corpus

• Existence of solutions for nonlinear fractional three-point boundary value problems at resonance (2011, background): “For some recent results on this topic, see [2–5, 13–18, 22–26] and the references therein.”
• Two positive solutions for (n − 1, 1)-type semipositone integral boundary value problems for coupled systems of nonlinear fractional differential equations☆ (2012, background): “Within this development, a fair amount of the theory has been devoted to initial and boundary value problems problems (see [9]-[20]).”
• Existence of Solutions for Fractional Differential Equations with Multi-point Boundary Conditions at Resonance on a Half-line (2011, background): “Apart from diverse areas of mathematics, fractional differential equations arise in a variety of different areas such as rheology, fluid flows, electrical networks, viscoelasticity, chemical physics, and many other branches of science (see [1, 9, 10, 11, 16, 17, 25] and references cited therein).”
• Multiple positive solutions for (n-1, 1)-type semipositone conjugate boundary value problems of nonlinear fractional differential equations (2010, background): “Within this development, a fair amount of the theory has been devoted to initial and boundary value problems problems (see [9]-[20]).”
• Well-posedness of general Caputo-type fractional differential equations (2018, background): “In [10, 11], the authors studied the existence and uniqueness of solutions of initial value problems for fractional ordinary differential equations with the RiemannLiouville derivative.”
• Existence and uniqueness results for Cauchy problem of variable-order fractional differential equations (2013, background): “In [13], A Krasnoselskii-Krein type uniqueness result is discussed.”