Fractional Vector Calculus and Fractional Special FunctionPreprint English OPEN
Li, Ming-Fan; Ren, Ji-Rong; Zhu, Tao; (2010)
Subject: Mathematical Physics
arxiv: Mathematics::Classical Analysis and ODEs
Fractional vector calculus is discussed in the spherical coordinate framework. A variation of the Legendre equation and fractional Bessel equation are solved by series expansion and numerically. Finally, we generalize the hypergeometric functions.