Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations

By Rathinasamy Sakthivel, P. Revathi, S. Anthoni. 2012

82 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/c620aa68d9094b2dd633e477f6026d39eaee933f

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

1. Lishan Liu
2. Yonghong Wu
3. K. Thiagu
4. P. Muthukumar
5. Yuanguo Zhu
6. Xinguang Zhang
7. Yujun Cui

In Geometry and Topology

1. Lishan Liu
2. Yonghong Wu

In Modeling and Simulation

1. Lishan Liu
2. Yonghong Wu
3. Yuanguo Zhu
4. Xinguang Zhang
5. Yujun Cui

Citations in the corpus

• Uncertain fractional differential equations and an interest rate model (2015, background): “[15] considered pseudo almost automorphic mild solutions to stochastic fractional differential equations along with stochastic differential equations [16–18].”
• Local and global existence of mild solutions for a class of semilinear fractional integro-differential equations (2017, background): “The existence of solutions to various classes of fractional differential equations have been established in ([1, 3, 7, 35, 37]) and the references therein.”
• Existence of Solutions and Approximate Controllability of Fractional Nonlocal Neutral Impulsive Stochastic Differential Equations of Order 1 < q < 2 with Infinite Delay and Poisson Jumps (2015, background): “The existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations have been well developed [31].”
• ASYMPTOTIC STABILITY OF FRACTIONAL IMPULSIVE NEUTRAL STOCHASTIC PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY (2013, unknown): “For details, see [21] and references therein.”