Journals Information
Universal Journal of Engineering Science(CEASE PUBLICATION) Vol. 3(3), pp. 46 - 51
DOI: 10.13189/ujes.2015.030302
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The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
Ali Karci *
Department of Computer Engineering, Inonu University, Turkey
ABSTRACT
The differential equations were considered as fractional order differential equations in literature. Homotopy Analysis Method was used to obtain analytical solutions of these equations. We applied reverse processes to analytical solutions of some fractional order differential equations, and observed that solutions could not satisfy the corresponding equations. Due to this case, we proposed a new approach for fractional order derivative and it was verified by using this new approach that any differential equations cannot be converted into fractional order differential equations so simply.
KEYWORDS
Derivatives, Fractional Calculus, Differential Equations, Fractional Order Differential Equations
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Ali Karci , "The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations," Universal Journal of Engineering Science(CEASE PUBLICATION), Vol. 3, No. 3, pp. 46 - 51, 2015. DOI: 10.13189/ujes.2015.030302.
(b). APA Format:
Ali Karci (2015). The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations. Universal Journal of Engineering Science(CEASE PUBLICATION), 3(3), 46 - 51. DOI: 10.13189/ujes.2015.030302.