Results 11 to 20 of about 492,476 (332)
TEMPERED FRACTIONAL CALCULUS. [PDF]
J Comput Phys, 2015 Fractional derivatives and integrals are convolutions with a power law. Multiplying by an exponential factor leads to tempered fractional derivatives and integrals. Tempered fractional diffusion equations, where the usual second derivative in space is replaced by a tempered fractional derivative, govern the limits of random walk models with an ...
Meerschaert MM, Sabzikar F, Chen J.
europepmc +4 more sources
Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus [PDF]
Entropy, 2023 This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences and similarities. The fractal derivative is closely connected to Haussdorff’s concepts of fractional dimension geometry.
A. Deppman, E. Megías, R. Pasechnik
semanticscholar +1 more source
Fractional calculus in pharmacokinetics [PDF]
Journal of Pharmacokinetics and Pharmacodynamics, 2017 We are witnessing the birth of a new variety of pharmacokinetics where non-integer-order differential equations are employed to study the time course of drugs in the body: this is dubbed "fractional pharmacokinetics." The presence of fractional kinetics has important clinical implications such as the lack of a half-life, observed, for example with the ...
Pantelis Sopasakis +3 more
openaire +4 more sources
Scale-Invariant General Fractional Calculus: Mellin Convolution Operators
Fractal and Fractional, 2023 General fractional calculus (GFC) of operators that is defined through the Mellin convolution instead of Laplace convolution is proposed. This calculus of Mellin convolution operators can be considered as an analogue of the Luchko GFC for the Laplace ...
V. E. Tarasov
semanticscholar +1 more source
Fractional Calculus - Theory and Applications
Axioms, 2022 In recent years, fractional calculus has witnessed tremendous progress in various areas of sciences and mathematics [...]
J. Macías-Díaz
semanticscholar +1 more source
Fuzzy clustering to classify several regression models with fractional Brownian motion errors
Alexandria Engineering Journal, 2020 Clustering regression models fitted on the dataset is one of the most ubiquitous issues in different fields of sciences. In this research, fuzzy clustering method is used to cluster regression models with fractional Brownian motion errors that can be ...
Mohammad Reza Mahmoudi +2 more
doaj +1 more source
A Stochastic Fractional Calculus with Applications to Variational Principles
Fractal and Fractional, 2020 We introduce a stochastic fractional calculus. As an application, we present a stochastic fractional calculus of variations, which generalizes the fractional calculus of variations to stochastic processes.
Houssine Zine, Delfim F. M. Torres
doaj +1 more source
Journal of Advanced Engineering and Computation, 2021 This survey-cum-expository review article is motivated essentially by the widespread usages of the operators of fractional calculus (that is, fractional-order integrals and fractional-order derivatives) in the modeling and analysis of a remarkably large ...
H. Srivastava
semanticscholar +1 more source
Fractional Calculus and Time-Fractional Differential Equations: Revisit and Construction of a Theory [PDF]
Mathematics, 2022 For fractional derivatives and time-fractional differential equations, we construct a framework on the basis of operator theory in fractional Sobolev spaces.
Masahiro Yamamoto
semanticscholar +1 more source
Advances in Differential Equations, 2021 Fractional calculus as was predicted by Leibniz to be a paradox, has nowadays evolved to become a centre of interest for many researchers from various backgrounds.
A. Atangana
semanticscholar +1 more source