Nagumo-type uniqueness result for fractional differential equations

By V. Lakshmikantham, S. Leela. 2009

109 citations recorded by the source corpus.

Subfields: Applied Mathematics, Modeling and Simulation, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/016d8a07e7b0cd29af724578ada018d4993a91b0

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In Applied Mathematics

1. J. J. Nieto
2. Ravi P. Agarwal
3. Yinghan Zhang
4. C. Sin
5. Zhanbing Bai
6. V. Lakshmikantham
7. Kai Diethelm
8. Bashir Ahmad

In Modeling and Simulation

1. J. J. Nieto
2. Ravi P. Agarwal
3. C. Sin
4. Yinghan Zhang
5. Zhanbing Bai
6. Bashir Ahmad
7. V. Lakshmikantham
8. Yong Zhou

In Public Health, Environmental and Occupational Health

1. Kai Diethelm
2. C. Sin
3. Zhanbing Bai
4. Yinghan Zhang
5. J. J. Nieto
6. Ravi P. Agarwal

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.”
• On the concept of solution for fractional differential equations with uncertainty (2010, background): “Initial value problems for fractional differential equations have been considered by some authors recently [13,3,11].”
• The mean value theorems and a Nagumo-type uniqueness theorem for Caputo’s fractional calculus (2012, background): “A number of generalizations of this result to fractional differential equations containing RiemannLiouville differential operators have been developed recently [1, 11].”
• 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.”