Some probability densities and fundamental solutions of fractional evolution equations
By Mahmoud M. El-Borai. 2002
425 citations recorded by the source corpus.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/83fb442b024214ac248474b1b4ae2ef2ff38d7c0
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Nazim Idrisoglu Mahmudov
- Jinrong Wang
- Yongxiang Li
- Michal Feckan
- Pengyu Chen
- Yong Zhou
- Amar Debbouche
- Dhirendra Bahuguna
In Modeling and Simulation
- Nazim Idrisoglu Mahmudov
- Jinrong Wang
- Michal Feckan
- Yongxiang Li
- Pengyu Chen
- Yong Zhou
- Amar Debbouche
- Xiaolong Shen
In Numerical Analysis
- Nazim Idrisoglu Mahmudov
- Jinrong Wang
- Michal Feckan
- Yongxiang Li
- Yong Zhou
- Pengyu Chen
- Amar Debbouche
- Xiaolong Shen
Citations in the corpus
- Controllability of Sobolev type fractional evolution systems (2014, background): “For more interesting theory results and scientific applications of fractional differential equations, we cite the monographs [2, 3, 4, 5, 6], the research papers [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31] and the references therein.”
- WEAK ALMOST PERIODIC AND OPTIMAL MILD SOLUTIONS OF FRACTIONAL EVOLUTION EQUATIONS (2009, background): “According to [5, 6, 7 , 8, 9], a solution of equation (1.2) can be formally represented by”
- Approximate Controllability of Fractional Sobolev-Type Evolution Equations in Banach Spaces (2013, methodology): “We refer the reader to ElBorai [3, 4], Balachandran and Park [5], Zhou and Jiao [6, 7] Hernández et al.”
- Existence of mild solutions for fractional evolution equations with mixed monotone nonlocal conditions (2013, background): “The proof of (1)–(4), the author can refer [11,12,15].”
- On the new concept of solutions and existence results for impulsive fractional evolution equations (2011, background): “A pioneering work on some probability densities and fundamental solutions of Caputo fractional evolution equations has been reported by El-Borai [28, 29].”
- On a new class of abstract impulsive functional differential equations of fractional order (2014, background): “For a nice introduction, we refer to the reader to [2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15] and references cited therein.”