A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative
By Ravi P. Agarwal, Mohammed Belmekki, Mouffak Benchohra. 2009
290 citations recorded by the source corpus.
We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative. Our approach is based on the -semigroups theory combined with some suitable fixed point theorems.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/fd5a42ee9e5f8e1047dd14258ca6e47d4607edb9
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In Applied Mathematics
- Jinrong Wang
- Michal Feckan
- Yong Zhou
- Donal O'Regan
- Ravi P. Agarwal
- Mouffak Benchohra
- S. Bouriah
- Vasile Lupulescu
In Modeling and Simulation
- Jinrong Wang
- Yong Zhou
- Michal Feckan
- Donal O'Regan
- Ravi P. Agarwal
- Mouffak Benchohra
- S. Bouriah
- Vasile Lupulescu
In Numerical Analysis
- Jinrong Wang
- Ravi P. Agarwal
- Yong Zhou
- Michal Feckan
- Donal O'Regan
- Mouffak Benchohra
- S. Bouriah
- Vasile Lupulescu
Citations in the corpus
- On the new concept of solutions and existence results for impulsive fractional evolution equations (2011, background): “For more details, one can see the monographs of [20, 21, 22, 23, 24, 25] and the survey [26, 27].”
- Existence and Stability Results for Nonlinear Boundary Value Problem for Implicit Differential Equations of Fractional Order (2015, background): “See, for example, the books ([2, 3, 6, 9, 10, 24, 25]), the papers [4, 5, 11] and the references therein.”
- Fuzzy fractional integral equations under compactness type condition (2012, background): “A systematic study of the fractional differential equations can be found in [2], [3], [4], [13], [14], [15], [18], [22], [29], [31].”
- Degree theory and existence of positive solutions to coupled systems of multi-point boundary value problems (2016, unknown): “com Department of Mathematics, University of Malakand, Chakadara Dir(L), Khyber Pakhtunkhwa, Pakistan Abstract In this article, we investigate existence and uniqueness of positive solutions to coupled systems of multi-point boundary value problems for fractional order differential equations of the f”