Results 311 to 320 of about 1,816,969 (371)

General Fractional Derivatives

2019
Xiao-jun Yang
openaire   +2 more sources

Fractional Derivatives as Inverses

Canadian Journal of Mathematics, 1989
We write formally (C, p) indicating that the integral is summable (C, p), i.e.,if this limit exists. We note here that all integrals over a finite range are taken in the Lebesgue sense, and all inversions of such iterated integrals are justifiable by Fubini's Theorem.
openaire   +1 more source

Heparin Fractions and Derivatives

Seminars in Thrombosis and Hemostasis, 1985
Thromboembolic disease continues to plague mankind because it is often detected too late for effective management, because modern therapeutic measures are often inefficiently managed, and because new therapeutic agents and available laboratory tests are ignored.
openaire   +2 more sources

Application of the Caputo‐Fabrizio and Atangana‐Baleanu fractional derivatives to mathematical model of cancer chemotherapy effect

Mathematical methods in the applied sciences, 2019
In this paper, we obtain approximate‐analytical solutions of a cancer chemotherapy effect model involving fractional derivatives with exponential kernel and with general Mittag‐Leffler function.
V. F. Morales-Delgado, J. F. Gómez‐Aguilar, K. Saad, Ricardo Fabricio Escobar Jimenez   +3 more
semanticscholar   +1 more source

New idea of Atangana and Baleanu fractional derivatives to human blood flow in nanofluids.

Chaos, 2019
Applications of fractional derivatives are rare for blood flow problems, more exactly in nanofluids. The old definitions published in the literature for fractional derivatives, such as Riemann-Liouville definition, are rarely used by the researchers now;
I. Khan
semanticscholar   +1 more source

Fractional Derivative and Fractional Integral

2018
For every α > 0 and a local integrable function f(t), the right FI of order α is defined: $$\displaystyle{ }_aI_t^\alpha f(t) = \displaystyle\frac {1}{\Gamma (\alpha )}\displaystyle\int _a^t(t - u)^{\alpha - 1}f(u)du,\qquad-\infty \le a < t < \infty .$$
Constantin Milici, Gheorghe Drăgănescu, J. Tenreiro Machado   +2 more
openaire   +1 more source

Mathematical and physical interpretations of fractional derivatives and integrals

Basic Theory, 2019
Brief descriptions of various mathematical and physical interpretations of fractional derivatives and integrals have been collected into this chapter as points of reference and departure for deeper studies.
R. Hilfer
semanticscholar   +1 more source

Fractional Derivatives and Special Functions

SIAM Review, 1976
The fractional derivative operator is an extension of the familiar derivative operator $D^n $ to arbitrary (integer, rational, irrational, or complex) values of n.
Lavoie, J. L., Osler, T. J., Tremblay, R.   +2 more
openaire   +1 more source

Fractional Integral Associated to Fractional Derivatives with Nonsingular Kernels

Progress in Fractional Differentiation and Applications, 2021
J. Losada, J. Nieto
semanticscholar   +1 more source

On fractional derivation and fractional convexity

Journal of Interdisciplinary Mathematics
Some novel applications of the conformable fractional derivative are presented. Indeed, we generalize the inverse function theorem and the Euler’s theorem. We also propose a definition of fractional convexity for which we show certain properties and applications.
R. Azennar, S. Asbab, K. El Hajioui
openaire   +1 more source