Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number...

mathematical analysis, initialization of the differintegrals is a topic in fractional calculus, a branch of mathematics dealing with derivatives of non-integer...

In fractional calculus, an area of mathematical analysis, the differintegral is a combined differentiation/integration operator. Applied to a function...

definitions of the fractional Laplace operator". Fractional Calculus and Applied Analysis. 20. arXiv:1507.07356. doi:10.1515/fca-2017-0002. "Fractional Laplacian"...

integrator as part of the control system design toolkit. The use of fractional calculus (FC) can improve and generalize well-established control methods...

Later the function was found to have applications in the theory of fractional calculus and also in certain areas of physics. The one-parameter and two-parameter...

went further and defined fractional power of p, thus establishing a connection between operational calculus and fractional calculus. Using the Taylor expansion...

\ s=(1-\theta )k+\theta (k+1)=k+\theta .} Another approach to define fractional order Sobolev spaces arises from the idea to generalize the Hölder condition...

contrast to the similarly applied fractional derivative. Fractal calculus is formulated as a generalization of standard calculus. Porous media, aquifers, turbulence...

time-scale calculus is a unification of the theory of difference equations with that of differential equations, unifying integral and differential calculus with...