Basic theory of fractional differential equations
By V. Lakshmikantham, Aghalaya S. Vatsala. 2008
2,529 citations recorded by the source corpus.
Subfields: Applied Mathematics, Mechanics of Materials, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/e9e093d091c6cf6f0d74177d070ffcdd4c65c9c3
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In Applied Mathematics
- V. Vijayakumar
- Yong Zhou
- Chokkalingam Ravichandran
- Bashir Ahmad
- E. Capelas de Oliveira
- Ravi P. Agarwal
- Yongxiang Li
- R. Udhayakumar
In Mechanics of Materials
- Yong Zhou
- V. Vijayakumar
- Ravi P. Agarwal
- Bashir Ahmad
- Virginia S. Kiryakova
- Christopher S. Goodrich
- Sihua Liang
- Jihui Zhang
In Modeling and Simulation
- V. Vijayakumar
- Yong Zhou
- Bashir Ahmad
- Chokkalingam Ravichandran
- E. Capelas de Oliveira
- Ravi P. Agarwal
- Kishor D. Kucche
- Yongxiang Li
Citations in the corpus
- Existence Results for Fractional Order Semilinear Integro-Differential Evolution Equations with Infinite Delay (2010, neutral): “The theory of fractional order differential equations has become an active area of investigation due to their applications in the fields such as physics, technical sciences and so on. One can see Anguraj [1], Lakshmikantham and his co-authors [14, 15 ], Hu et al. [10], Mophou and N’Gu´ er´ ekata [18”
- Controllability for fractional evolution inclusions without compactness (2015, background): “[30] A continuous function x : [0, b] → X is said to be a mild solution of fractional differential system (1) if x(0) = x0 and there exists f ∈ L 1 q1 ([0, b];X) such that f(t) ∈ F (t, x(t)) on t ∈ [0, b] and x satisfies the following integral equation”
- Existence of solutions for nonlinear fractional three-point boundary value problems at resonance (2011, neutral): “For some recent results on this topic, see [2–5, 13–18, 22–26] and the references therein.”
- Application of fractional differential equation in economic growth model: A systematic review approach (2021, neutral): “The existence and uniqueness of nonlinear FDE solutions are often obtained using the results of the fixed-point theory, the theory of inequality, local peano, and extreme solutions [9].”
- Results on controllability of non-densely characterized neutral fractional delay differential system (2021, background): “One can refer the monographs [16, 21, 22, 38, 34, 39] for further details.”