fractional calculus

The idea of calculus in fractional order is nearly as old as its integer counterpart. In a letter dated September 30th 1650, l’Hôpital posed the question of the meaning of $\\displaystyle{\\frac{d^{\\alpha}f}{dx^{\\alpha}}}$ if $\\displaystyle{\\alpha=\\frac{1}{2}}$ to Leibniz.There are different approaches to define calculus of fractional order. The following approaches are the most common and we can prove that they are equivalent

(1) Riemann-Liouville approach of fractional integration

(2) Grunwald-Letnikov approach of fractional differentiation

单词	FractionalCalculus
释义	fractional calculus The idea of calculus in fractional order is nearly as old as its integer counterpart. In a letter dated September 30th 1650, l’Hôpital posed the question of the meaning of $\\displaystyle{\\frac{d^{\\alpha}f}{dx^{\\alpha}}}$ if $\\displaystyle{\\alpha=\\frac{1}{2}}$ to Leibniz.There are different approaches to define calculus of fractional order. The following approaches are the most common and we can prove that they are equivalent (1) Riemann-Liouville approach of fractional integration (2) Grunwald-Letnikov approach of fractional differentiation
随便看	PaulLevyContinuityTheorem Paul Lévy continuity theorem PavedSpace paved space PeanoArithmetic Peano arithmetic PeanoCurve Peano curve PeanoSpace Peano space PeanosTheorem Peano’s theorem PedalTriangle pedal triangle PeetresInequality Peetre’s inequality PeirceDecomposition Peirce decomposition PeircesLaw Peirce’s law PelageyaPolubarinovaKochina Pelageya Polubarinova-Kochina PellNumber Pell number PellsEquation