Journals Information
Universal Journal of Applied Mathematics Vol. 4(3), pp. 51 - 54
DOI: 10.13189/ujam.2016.040302
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Exact Solution of Riccati Fractional Differential Equation
Khaled Jaber *, Shadi Al-Tarawneh
Department of Mathematics, Faculty of Science, Zarqa University, Jordan
ABSTRACT
New exact solutions of the Fractional Riccati Differential equation y(伪) = a ( x) y2 + b ( x ) y + c ( x ) are presented. Exact solutions are obtained using several methods, firstly by reducing it to second order linear ordinary differential equation, secondly by transforming it to the Bernoulli equation, finally the solution is obtained by assuming an integral condition on c (x) involves an arbitrary function. Using the conditions imposed on Riccati equation's coefficients we choose the form of the coefficients of the Riccati equation. For this case the general solution of the Riccati equation is also presented.
KEYWORDS
Fractional Riccati Equation, Integrability Condition, Exact Solutions
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Khaled Jaber , Shadi Al-Tarawneh , "Exact Solution of Riccati Fractional Differential Equation," Universal Journal of Applied Mathematics, Vol. 4, No. 3, pp. 51 - 54, 2016. DOI: 10.13189/ujam.2016.040302.
(b). APA Format:
Khaled Jaber , Shadi Al-Tarawneh (2016). Exact Solution of Riccati Fractional Differential Equation. Universal Journal of Applied Mathematics, 4(3), 51 - 54. DOI: 10.13189/ujam.2016.040302.