Theory of Fractional Differential Equations in a Banach Space
By V. Lakshmikantham, J. Vasundhara Devi. European Journal of Pure and Applied Mathematics, 2007
155 citations recorded by the source corpus.
In this paper, the basic theory of fractional differential equations in a Banach Space is discussed including flow invariance and theory of inequalities in cones.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/0b9b7fffd8b38924c1ffe90e341ef51946b8870e
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
- Mouffak Benchohra
- Saïd Abbas
- J. Henderson
- Krishnan Balachandran
- S. Kiruthika
- N. Hamidi
- Jinrong Wang
- Malgorzata Klimek
In Modeling and Simulation
- Mouffak Benchohra
- Saïd Abbas
- J. Henderson
- S. Kiruthika
- Krishnan Balachandran
- N. Hamidi
- Malgorzata Klimek
- Yong Zhou
In Numerical Analysis
- Mouffak Benchohra
- Saïd Abbas
- Krishnan Balachandran
- S. Kiruthika
- J. Henderson
- Malgorzata Klimek
- Yong Zhou
- Jinrong Wang
Citations in the corpus
- Caputo-Hadamard fractional differential equations in banach spaces (2018, background): “[16], Machado and Kiryakova [17], Yang and Wang [23], and the references therein.”
- IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES (2009, unknown): “[38, 39], and Lakshmikantham and Devi [33] .”
- Sequential fractional differential equations with Hadamard derivative (2011, methodology): “Then Lakshmikantham et al (1; 20) developed a modification of the metric in the C[0, b] space by means of a one-parameter Mittag-Leffler function and applied it in the solution of the nonlinear fractional differential equation of order α ∈ (0, 1).”
- EXISTENCE OF SOLUTIONS OF ABSTRACT FRACTIONAL IMPULSIVE SEMILINEAR EVOLUTION EQUATIONS (2010, background): “The theory of fractional differential equations has been extensively studied by several authors [11, 16-19].”
- Measure of Noncompactness and Fractional Differential Equations in Frechet Spaces (2020, unknown): “As far as we know there are very few papers related to ordinary fractional differential equations on Banach spaces (see [27]).”