Results 51 to 60 of about 595,099 (300)

Orthonormal piecewise Vieta-Lucas functions for the numerical solution of the one- and two-dimensional piecewise fractional Galilei invariant advection-diffusion equations

Journal of Advanced Research, 2023
Introduction: Recently, a new family of fractional derivatives called the piecewise fractional derivatives has been introduced, arguing that for some problems, each of the classical fractional derivatives may not be able to provide an accurate statement ...
Mohammad Hossein Heydari, Mohsen Razzaghi, Dumitru Baleanu   +2 more
doaj   +1 more source

Riemann’s conjecture and a fractional derivative

Computers & Mathematics with Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
A. Le Méhauté, A. El Kaabouchi, L. Nivanen   +2 more
openaire   +2 more sources

AN ADAPTIVE MEMORY METHOD FOR ACCURATE AND EFFICIENT COMPUTATION OF THE CAPUTO FRACTIONAL DERIVATIVE

, 2021
A fractional derivative is a temporally nonlocal operation which is com-putationally intensive due to inclusion of the accumulated contribution of function values at past times.
Yoon, Daegeun, You, Donghyun, Donghyun You, Daegeun Yoon   +3 more
core   +1 more source

On the solution of the space-time fractional cubic nonlinear Schrödinger equation

Results in Physics, 2018
The space–time fractional nonlinear Schrödinger equation is studied based on the modified Riemann–Liouville derivative. The fractional mapping expansion method is used to find analytical solution of this model.
E.A. Yousif, E.A-B. Abdel-Salam, M.A. El-Aasser   +2 more
doaj   +1 more source

Numerical simulation of variable-order fractal-fractional delay differential equations with nonsingular derivative

Engineering Science and Technology, an International Journal, 2023
This work develops a new Legendre delay operational matrix based on Legendre polynomial features that are integrated with regard to the Legendre fractional derivative operational matrix in order to solve the issues.
Mays Basim, Ali Ahmadian, Norazak Senu, Zarina Bibi Ibrahim   +3 more
doaj   +1 more source

A new Riemann–Liouville type fractional derivative operator and its application in generating functions

Advances in Difference Equations, 2018
Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Shadab, M. Faisal Khan, J. Luis Lopez-Bonilla   +2 more
doaj   +1 more source

FRACTIONAL CENTRAL DIFFERENCES AND DERIVATIVES [PDF]

IFAC Proceedings Volumes, 2006
Fractional central differences and derivatives are studied in this article. These are generalisations to real orders of the ordinary positive (even and odd) integer order differences and derivatives, and also coincide with the well known Riesz potentials.
openaire   +2 more sources

Fractional Generalizations of Filtering Problems and Their Associated Fractional Zakai Equation [PDF]

, 2014
In this paper we discuss fractional generalizations of the filtering problem. The ”fractional” nature comes from time-changed state or observation processes, basic ingredients of the filtering problem. The mathematical feature of the fractional filtering
Nelson, Kenric, Umarov, Sabir, Daum, Fred, Daum, Frederick   +3 more
core   +1 more source

Properties of the Caputo-Fabrizio Fractional Derivative [PDF]

, 2020
In this paper, we investigate some properties related Caputo-Fabrizio (CF) fractional derivative. We prove some regularity properties and bounds characterizing the Caputo-Fabrizio derivative operator.
D. Lau-Alfonso, L., Rodr ́ıguez Ricard, M., A. Mboro Nchama, G., M. Leo ́n Mec ́ıas, A.   +3 more
core   +1 more source

European Standard Clinical Practice Guideline and EXPeRT Recommendations for the Diagnosis and Management of Gastroenteropancreatic Neuroendocrine Neoplasms in Children and Adolescents

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Pediatric gastroenteropancreatic neuroendocrine neoplasms (GEP‐NENs) are extremely rare and clinically heterogeneous. Management has largely been extrapolated from adult practice. This European Standard Clinical Practice Guideline (ESCP), developed by the EXPeRT network in collaboration with adult NEN experts, provides (adult) evidence ...
Michaela Kuhlen, Calogero Virgone, Antje Redlich, Michael Abele, Ricardo Lopez‐Almaraz, Tal Ben‐Ami, Ewa Bien, Gianni Bisogno, Maja Mazic Cesen, Andrea Ferrari, Malgorzata A. Krawczyk, Yves Reguerre, Dominik T. Schneider, Ines B. Brecht, Charlotte Rigaud, Bilgehan Yalcin, Rainer Claus, Christian Vokuhl, Constantin Lapa, Jörg Fuchs, Segolene Hescot, Thomas Walter, Julien Hadoux, Daniel Orbach   +23 more
wiley   +1 more source