A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions
By Ravi P. Agarwal, Mouffak Benchohra, S. Hamani. 2010
921 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation
View Paper: https://www.semanticscholar.org/paper/3afd2b2aa8955f15f85402693b19acc8836fe92b
How researchers see this paper
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In Applied Mathematics
- Jinrong Wang
- V. Vijayakumar
- Yong Zhou
- Chokkalingam Ravichandran
- Michal Feckan
- Donal O'Regan
- Nazim Idrisoglu Mahmudov
- Ravi P. Agarwal
In Modeling and Simulation
- Jinrong Wang
- Yong Zhou
- V. Vijayakumar
- Mouffak Benchohra
- Chokkalingam Ravichandran
- Michal Feckan
- Ravi P. Agarwal
- Donal O'Regan
Citations in the corpus
- Nonlinear generalized fractional differential equations with generalized fractional integral conditions (2020, background): “In case we choose δψy(0) = δψy(T) = 0 the problem (3)–(5) generalize the one considered in [13].”
- Controllability results for fractional order neutral functional differential inclusions with infinite delay (2017, positive): “Some works have done on the qualitative properties of solutions for these equations; see the monographs [7, 30, 29, 35, 39], the papers [2, 3, 49] and the references therein.”
- Existence and uniqueness of solutions of differential equations of fractional order with integral boundary conditions (2014, neutral): “For more details see [1] [2] [3] [4] [5] [10] [11] [14] [21].”
- Abstract Cauchy problem for fractional differential equations (2013, background): “[8], Ahmad and Nieto [9], Bai [10], Benchohra et al.”
- Study in Fractional Differential Equations by Means of Topological Degree Methods (2012, methodology): “Compared with the existence, uniqueness, and data dependence results appeared in [1, 5, 7, 12, 14, 35], there are at least three differences: (i) the growth conditions on f , g , and Ii includes linear growth case and sublinear growth case; (ii) a new fixed point theorem with a priori estimate metho”
- Decay solutions for a class of fractional differential variational inequalities (2015, background): “Some recent results in these directions can be found in [3, 6, 7, 8, 13, 19, 24].”