Results 21 to 30 of about 166,029,081 (260)

Weighted Generalized Fractional Integration by Parts and the Euler–Lagrange Equation

Axioms, 2022
Integration by parts plays a crucial role in mathematical analysis, e.g., during the proof of necessary optimality conditions in the calculus of variations and optimal control.
Houssine Zine, El Mehdi Lotfi, Delfim F. M. Torres, Noura Yousfi   +3 more
doaj   +1 more source

Necessary optimality conditions for fractional difference problems of the calculus of variations [PDF]

, 2010
We introduce a discrete-time fractional calculus of variations. First and second order necessary optimality conditions are established. Examples illustrating the use of the new Euler-Lagrange and Legendre type conditions are given.
Rui A. C. Ferreira, Ferreira, R. A. C., null null, Torres, D. F. M., Bastos, N. R. O., Bastos, N.R.O., Delfim F. M. Torres, Nuno R. O. Bastos, Pawluszewicz, Ewa, Torres, D.F.M., Ferreira, R.A.C.   +10 more
core   +1 more source

Weighted hypergeometric functions and fractional derivative

Advances in Difference Equations, 2017
We introduce some weighted hypergeometric functions and the suitable generalization of the Caputo fractional derivation. For these hypergeometric functions, some linear and bilinear relations are obtained by means of the mentioned derivation operator ...
JE Restrepo, A Kılıçman, P Agarwal, Omer Altun   +3 more
doaj   +1 more source

Input-output linearization and fractional robust control of a non-linear system [PDF]

, 2001
This article deals with the association of a linear robust controller and an input-output linearization feedback for the control of a perturbed and non-linear system.
Oustaloup, Alain, Pommier-Budinger, Valérie, Jocelyn Sabatier, Patrick Lanusse, Lanusse, Patrick, Valerie Pommier, Sabatier, Jocelyn, Alain Oustaloup   +7 more
core   +1 more source

An Expansion Formula with Higher-Order Derivatives for Fractional Operators of Variable Order

The Scientific World Journal, 2013
We obtain approximation formulas for fractional integrals and derivatives of Riemann-Liouville and Marchaud types with a variable fractional order. The approximations involve integer-order derivatives only. An estimation for the error is given.
Ricardo Almeida, Delfim F. M. Torres
doaj   +1 more source

A Non-Integer High-Order Sliding Mode Control of Induction Motor with Machine Learning-Based Speed Observer

Machines, 2023
The induction motor (IM) drives are prone to various uncertainties, disturbances, and non-linear dynamics. A high-performance control system is essential in the outer loop to guarantee the accurate convergence of speed and torque to the required value ...
Irfan Sami, Shafaat Ullah, Shafqat Ullah, Syed Sabir Hussain Bukhari, Naseer Ahmed, Muhammad Salman, Jong-Suk Ro   +6 more
doaj   +1 more source

Variational Problems with Time Delay and Higher-Order Distributed-Order Fractional Derivatives with Arbitrary Kernels

Mathematics, 2021
In this work, we study variational problems with time delay and higher-order distributed-order fractional derivatives dealing with a new fractional operator.
Fátima Cruz, Ricardo Almeida, Natália Martins   +2 more
doaj   +1 more source

Retrospective Analysis of Donor Lymphocyte Infusions in Pediatric Patients With Mixed Chimerism After Hematopoietic Stem Cell Transplantation

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk, Sebastian Michaelis, Michaela Döring, Thomas Eichholz, Ursula Holzer, Martin Ebinger, Tim Flaadt, Rupert Handgretinger, Peter Lang, Jan Frederic Weller, Markus Mezger   +10 more
wiley   +1 more source

Optimizing Variational Problems through Weighted Fractional Derivatives

Fractal and Fractional
In this article, we explore a variety of problems within the domain of calculus of variations, specifically in the context of fractional calculus. The fractional derivative we consider incorporates the notion of weighted fractional derivatives along with
Ricardo Almeida
doaj   +1 more source

Valosin‐containing protein counteracts ATP‐driven dissolution of FUS condensates through its ATPase activity in vitro

FEBS Letters, EarlyView.
Biomolecular condensates formed by fused in sarcoma (FUS) are dissolved by high ATP concentrations yet persist in cells. Using a reconstituted system, we demonstrate that valosin‐containing protein (VCP), an AAA+ ATPase, counteracts ATP‐driven dissolution of FUS condensates through its D2 ATPase activity.
Hitomi Kimura, Shin‐ichi Tate, Kyota Yasuda   +2 more
wiley   +1 more source