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THE MATRIX RICCATI DIFFERENTIAL EQUATION AND THE SEMI-GROUP OF LINEAR FRACTIONAL TRANSFORMATIONS
Russian Mathematical Surveys, 1973The matrix Riccati differential equation is discussed, from the point of view of dissipativity or conservativity of its solutions. A survey is given of results relating to analytic properties of these solutions and to the geometry of the corresponding semigroup of matrix linear fractional transformations; further, a probabilistic interpretation is ...
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Physics Letters A, 2012
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Applied Mathematics and Computation, 2013
The author constructs an approximate method to solve the Riccati fractional differential equation \[ \sum_{k=0}^{m}P_{k}(t)\frac{d^{k\alpha}y(t)}{dt^{k\alpha}}=A(t)+B(t)+C(t)y^{2} \] on \([0,R ...
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The author constructs an approximate method to solve the Riccati fractional differential equation \[ \sum_{k=0}^{m}P_{k}(t)\frac{d^{k\alpha}y(t)}{dt^{k\alpha}}=A(t)+B(t)+C(t)y^{2} \] on \([0,R ...
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Lie symmetry analysis and solutions for a fractional Riccati–Bernoulli equation
International Journal of Dynamics and ControlShaoru Liu, Yanxia Hu
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Multi step scheme for the approximation of the fractional Riccati differential equation
Azin, Hadis, Iloon Kashkooly, Aliopenaire +1 more source
Reproducing kernel method for fractional Riccati differential equations
2016openaire +1 more source

