Existence of the Mild Solutions for Impulsive Fractional Equations with Infinite Delay
By J. Dabas, A. Chauhan, Mukesh Kumar. 2011
73 citations recorded by the source corpus.
This paper is concerned with the existence and uniqueness of a mild solution of a semilinear fractional-order functional evolution differential equation with the infinite delay and impulsive effects. The existence and uniqueness of a mild solution is established using a solution operator and the classical fixed-point theorems.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/5ed1704452086a81eea78df4c803eb25ae8fcf7a
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In Applied Mathematics
- Rathinasamy Sakthivel
- Nazim Idrisoglu Mahmudov
- Yong Ren
- Amar Debbouche
- P. Revathi
- Jerzy Klamka
- Yuanguo Zhu
- Zuomao Yan
In Modeling and Simulation
- Nazim Idrisoglu Mahmudov
- P. Revathi
- Yong Ren
- Rathinasamy Sakthivel
- Amar Debbouche
- Yuanguo Zhu
- Jerzy Klamka
- V. Vijayakumar
In Numerical Analysis
- Nazim Idrisoglu Mahmudov
- Rathinasamy Sakthivel
- P. Revathi
- Yong Ren
- Amar Debbouche
- Yuanguo Zhu
- Tuncer Acar
- Krzysztof Rykaczewski
Citations in the corpus
- Approximate controllability of fractional stochastic differential inclusions with nonlocal conditions (2016, background): “From these expression, it follows that {T(t), t > 0} is uniformly bounded compact semigroup, so that, R(λ,A) = (λI − A)−1 is compact operator for λ ∈ ρ(A).(43)”
- Existence of solutions for nonlinear fractional stochastic differential equations (2013, methodology): “The existence results for a class of impulsive fractional order semilinear evolution equations with infinite delay has been reported in [25].”