Abstract: This paper uses a new multiplication of fractional functions and the product rule and chain rule for fractional derivatives, regarding the Jumarie type of modified Riemann-Liouville (R-L) fractional derivative, to obtain the general solution and singular solution of fractional Clairaut’s differential equation. On the other hand, an example is proposed to illustrate our results.
Keyword: New multiplication, Product rule, Chain rule, Modified R-L fractional derivative, Fractional Clairaut’s differential equation.
Title: Fractional Clairaut’s Differential Equation and Its Application
Author: Chii-Huei Yu
International Journal of Computer Science and Information Technology Research
ISSN 2348-1196 (print), ISSN 2348-120X (online)
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