Approximate controllability of fractional stochastic differential equations driven by Rosenblatt process with non-instantaneous impulses

On a new class of abstract impulsive differential equations

Eduardo Hernández, Donal O’Regan · Proceedings of the American Mathematical Society · 2012 · 496 citations · Full text

Natural Sciences, Mathematics, Differential Equations +7

Existence of solutions for nonlinear fractional stochastic differential equations

R. Sakthivel, P. Revathi, Yong Ren · Nonlinear Analysis · 2012 · 265 citations

Engineering, Mathematics, Physics +12

Analysis of the Rosenblatt process

Ciprian A. Tudor · ESAIM Probability and Statistics · 2008 · 217 citations · Full text

Engineering, Mathematics, Dynamical Systems +16

The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.gif" display="inline" overflow="scroll"><mml:mn>1</mml:mn><mml:mo>&lt;</mml:mo><mml:mi>α</mml:mi><mml:mo>&lt;</mml:mo><mml:mn>2</mml:mn></mml:math>

Xiao‐Bao Shu, Qianqian Wang · Computers & Mathematics with Applications · 2012 · 187 citations

Natural Sciences, Mathematics, Differential Equations +6

Approximate controllability of nonlinear fractional dynamical systems

R. Sakthivel, R. Ganesh, Yong Ren et al. · Communications in Nonlinear Science and Numerical Simulation · 2013 · 156 citations

Natural Sciences, Mathematics, Differential Equations +12