Results 41 to 50 of about 168,673,297 (115)

Optimal control of fractional systems: a diffusive formulation [PDF]

, 2010
Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis
core  

Fractional Left Local General M-Derivative

, 2020
Here is introduced and studied the left fractional local general M-derivative of various orders. All basic properties of an ordinary derivative are established here. We also define the corresponding left fractional M-integrals.
Anastassiou, George A., George A. Anastassiou   +1 more
core   +1 more source

Normal Reference Bandwidths for the General Order, Multivariate Kernel Density Derivative Estimator [PDF]

This note derives the general form of the approximate mean integrated squared error for the q-variate, th-order kernel density r th derivative estimator. This formula allows for normal reference rule-of-thumb bandwidths to be derived.
Christopher F. Parmeter, Daniel J. Henderson   +1 more
core  

A Novel Fractional Order Proportional Integral-Fractional Order Proportional Derivative Controller Design Based on Symbiotic Organisms Search Algorithm for Speed Control of a Direct Current Motor

In this study, the effectiveness of symbiotic organisms search (SOS) algorithm including Zwee Lee Gaing (ZLG) objective function in determining the fractional order (FO) proportional integral and FO proportional derivative (FOPI-FOPD) controller ...
Kerim Dinçer, Yasin Nuhoğlu, Yahya Danayiyen   +2 more
core   +1 more source

Properties of the Sieve Bootstrap for Fractionally Integrated and Non-Invertible Processes [PDF]

In this paper we will investigate the consequences of applying the sieve bootstrap under regularity conditions that are sufficiently general to encompass both fractionally integrated and non-invertible processes.
D. S. Poskitt
core  

A fractional calculus on arbitrary time scales: fractional differentiation and fractional integration

We introduce a general notion of fractional (noninteger) derivative for functions defined on arbitrary time scales. The basic tools for the time-scale fractional calculus (fractional differentiation and fractional integration) are then developed.
Torres, D. F. M., Benkhettou, N., Brito da Cruz, A. M. C.   +2 more
core   +1 more source

Solitons, bifurcation, chaos, and stability of the fractional Schrödinger-Hirota equation with beta derivative. [PDF]

Sci Rep
Al Amin M, Rahman T, Islam MT, Pk MAB, Akbar MA.   +4 more
europepmc   +1 more source

High-accuracy pseudospectral scheme for fractional diffusion-wave problems based on cardinal functions. [PDF]

PLoS One
Saray BN, Juraev DA, Abdalla M, Efendiev R, Almalki Y, Ahdiaghdam S.   +5 more
europepmc   +1 more source

Application of artificial neural networks to solve differential equations in Zika virus dynamics with exponential kernel derivatives. [PDF]

Sci Rep
Shafee A, Jacob K, Iqbal N, Hamoud AA.
europepmc   +1 more source

Caputo fractional-order SVIR model for rotavirus: Numerical solutions using Laplace-Adomian decomposition method. [PDF]

PLoS One
Hossain M, Ullah MA.
europepmc   +1 more source