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arxiv: 1001.2889 · v1 · submitted 2010-01-17 · 🧮 math-ph · math.MP

Fractional Vector Calculus and Fractional Special Function

classification 🧮 math-ph math.MP
keywords fractionalcalculusequationvectorbesselcoordinatediscussedexpansion
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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.

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