Results 201 to 210 of about 3,521 (216)
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2017
In this paper, a new numerical method for solving the fractional Riccati differential equation is presented. The fractional derivatives are described in the Caputo sense. The method is based upon fractional-order Bernoulli functions approximations. First, the fractional-order Bernoulli functions and their properties are presented.
Ordokhani, Yadollah +2 more
openaire +1 more source
In this paper, a new numerical method for solving the fractional Riccati differential equation is presented. The fractional derivatives are described in the Caputo sense. The method is based upon fractional-order Bernoulli functions approximations. First, the fractional-order Bernoulli functions and their properties are presented.
Ordokhani, Yadollah +2 more
openaire +1 more source
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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A new stochastic approach for solution of Riccati differential equation of fractional order
Annals of Mathematics and Artificial Intelligence, 2011Muhammad Asif Zahoor Raja +2 more
exaly
An efficient approach for solving the Riccati equation with fractional orders
Computers and Mathematics With Applications, 2011Najeeb Alam Khan +2 more
exaly
Hereditary Riccati Equation with Fractional Derivative of Variable Order
Journal of Mathematical Sciences, 2021exaly