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...

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

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

In mathematics, the Caputo fractional derivative, also called Caputo-type fractional derivative, is a generalization of derivatives for non-integer orders...

combinatorial topology as early as 1679, and helped initiate the field of fractional calculus. In the 20th century, Leibniz's notions of the law of continuity...

In mathematics, the fractional Laplacian is an operator, which generalizes the notion of Laplacian spatial derivatives to fractional powers. This operator...

Differential calculus Integral calculus Multivariable calculus Fractional calculus Differential Geometry History of calculus Important publications in calculus Continuous...

Fractional Calculus and Applied Analysis is a peer-reviewed mathematics journal published by Walter de Gruyter. It covers research on fractional calculus...

the latter of whom was the first to consider the possibility of fractional calculus in 1832. The operator agrees with the Euler transform, after Leonhard...

}(t)={\begin{cases}{\dfrac {1}{\mu (a)}},&t=a\\0,&t\neq a\end{cases}}} Fractional calculus on time scales is treated in Bastos, Mozyrska, and Torres. Analysis...

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

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

suggested fractional linear multistep Adams–Bashforth method or quadrature methods. Acoustic attenuation Differintegral Fractional calculus Fractional order...

he became an associate professor. His main research areas are in fractional calculus and analytic number theory. "Student, 18, youngest ever to come top...

the stable count distribution and establish another connection to fractional calculus. Stable count distribution can represent the daily distribution of...

potential. In fractional calculus, these formulae can be used to construct a differintegral, allowing one to differentiate or integrate a fractional number of...

In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a family of linear transformations generalizing the Fourier...

the Sturm-Liouville theory for partial differential equations and fractional calculus. George Em Karniadakis obtained his diploma of engineering in Mechanical...

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...

achieved by analog or digital implementations of fractional calculus. The implementation of fractional derivative calculations by means of numerical methods...

Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series...

various ways to define derivatives of fractional or negative orders, which are studied in fractional calculus. The −1 order derivative corresponds to...

mathematics and one of the top ten scientists in the world in the field of fractional calculus according to Web of Science several times between 2009 and 2013....

A fractional-order integrator or just simply fractional integrator is an integrator device that calculates the fractional-order integral or derivative...

ISSN 0020-739X. Kapoor, Mamta (June 15, 2023). "Sumudu Transform for Time Fractional Physical Models an Analytical Aspect". Journal of Applied Analysis & Computation...

Stefan G. (1998), "A new approach to the inversion of the Riesz potential operator" (PDF), Fractional Calculus and Applied Analysis, 1 (3): 225–245...

geometry Fractional calculus a branch of analysis that studies the possibility of taking real or complex powers of the differentiation operator. Fractional dynamics...

over each neighbor. In Fractional calculus convolution is instrumental in various definitions of fractional integral and fractional derivative. Analog signal...

mathematics, Katugampola fractional operators are integral operators that generalize the Riemann–Liouville and the Hadamard fractional operators into a unique...