Results 41 to 50 of about 563,717 (299)

On Hilfer generalized proportional fractional derivative

Advances in Difference Equations, 2020
Motivated by the Hilfer and the Hilfer–Katugampola fractional derivative, we introduce in this paper a new Hilfer generalized proportional fractional derivative, which unifies the Riemann–Liouville and Caputo generalized proportional fractional ...
Idris Ahmed, Poom Kumam, Fahd Jarad, Piyachat Borisut, Wachirapong Jirakitpuwapat   +4 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

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

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

Analysis of Cauchy Problems and Diffusion Equations Associated with the Hilfer–Prabhakar Fractional Derivative via Kharrat–Toma Transform

Fractal and Fractional, 2023
In this paper, the Kharrat–Toma transforms of the Prabhakar integral, a Hilfer–Prabhakar (HP) fractional derivative, and the regularized version of the HP fractional derivative are derived.
Ved Prakash Dubey, Jagdev Singh, Sarvesh Dubey, Devendra Kumar   +3 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

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

Numerical solutions of fractional optimal control with Caputo–Katugampola derivative

Advances in Difference Equations, 2021
In this paper, we present a numerical technique for solving fractional optimal control problems with a fractional derivative called Caputo–Katugampola derivative. This derivative is a generalization of the Caputo fractional derivative.
N. H. Sweilam, A. M. Nagy, T. M. Al-Ajami   +2 more
doaj   +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

Fractional Calculus Operators and the Mittag-Leffler Function

, 2022
This book focuses on applications of the theory of fractional calculus in numerical analysis and various fields of physics and engineering. Inequalities involving fractional calculus operators containing the Mittag–Leffler function in their kernels are ...

core   +1 more source