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Numerical Solution of Non-linear Riccati Differential Equations with Fractional Order

International Journal of Nonlinear Sciences and Numerical Simulation, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jafari, H.   +3 more
openaire   +2 more sources

A New Fractional Projective Riccati Equation Method for Solving Fractional Partial Differential Equations

Communications in Theoretical Physics, 2014
In this paper, a new fractional projective Riccati equation method is proposed to establish exact solutions for fractional partial differential equations in the sense of modified Riemann—Liouville derivative. This method can be seen as the fractional version of the known projective Riccati equation method.
openaire   +1 more source

Local Fractional Operator on Quadratic Riccati Differential Equation with Variable Coefficients

2017 Fourth International Conference on Mathematics and Computers in Sciences and in Industry (MCSI), 2017
In this paper, approximate-analytical solutions of time-fractional Riccati differential equations (TFRDEs) with variable coefficients are considered via the application of local fractional operator (LFO) in the sense of Caputo derivative. The proposed semi-analytical technique is built on the basis of the standard Differential Transform Method (DTM ...
S. O. Edeki, G. O. Akinlabi, R. Borkor
openaire   +1 more source

Analyzing solution of the fractional Lorenz system and fractional Riccati equation via the modified Laplace power series residual method

Journal of Mathematics and Computer Science
The series approach is commonly used to obtain approximate analytic solutions for differential equations, but it often converges for a short time. To address this limitation, a new algorithm has been developed that enables the solution to be carried out ...
A. Alomari   +3 more
semanticscholar   +1 more source

An efficient computational intelligence approach for solving fractional order Riccati equations using ANN and SQP

Applied Mathematical Modelling, 2015
Muhammad Asif Zahoor Raja, Raza Samar
exaly  

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