IJPAM: Volume 107, No. 1 (2016)

ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATION

Tahir Khaniyev$^{1,2}$, Mehmet Merdan$^3$
$^1$Department of Industrial Engineering
TOBB University of Economics and Technology
Söğütözü, TURKEY
$^2$Azerbaijan National Academy of Science
Institute of Cybernetics
Baku, AZERBAIJAN
$^{3}$Department of Mathematical Engineering
Gümüşhanehane University
Gümüşhane, TURKEY


Abstract. In this paper, We tried to find an analytical solution of nonlinear Riccati conformable fractional differential equation. Fractional derivatives are described in the conformable derivative. The behavior of the solutions and the effects of different values of fractional order $\alpha $ are presented graphically and table. The results obtained by the CFD(conformable fractional derivative) are compared with homotopy perturbation method(HPM), fractional variational iteration method(FVIM).

Received: October 24, 2015

AMS Subject Classification:

Key Words and Phrases: fractional Riccati differential equation, conformable fractional derivative, fractional calculus

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DOI: 10.12732/ijpam.v107i1.12 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 1
Pages: 145 - 160


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