Applications of variable-order fractional operators: a review
S Patnaik, JP Hollkamp… - Proceedings of the …, 2020 - royalsocietypublishing.org
Variable-order fractional operators were conceived and mathematically formalized only in
recent years. The possibility of formulating evolutionary governing equations has led to the …
recent years. The possibility of formulating evolutionary governing equations has led to the …
[图书][B] Fractional calculus with applications in mechanics: vibrations and diffusion processes
This book contains mathematical preliminaries in which basic definitions of fractional
derivatives and spaces are presented. The central part of the book contains various …
derivatives and spaces are presented. The central part of the book contains various …
[图书][B] Fractional calculus: an introduction for physicists
R Herrmann - 2011 - World Scientific
Up to now we have introduced a fractional derivative definition for special simple function
classes. In the following section we will present common generalizations for arbitrary …
classes. In the following section we will present common generalizations for arbitrary …
[图书][B] Fractional Calculus
Fractional Calculus | SpringerLink Skip to main content Advertisement SpringerLink Account
Menu Find a journal Publish with us Track your research Search Cart Book cover Advanced …
Menu Find a journal Publish with us Track your research Search Cart Book cover Advanced …
Caputo derivatives of fractional variable order: numerical approximations
We present a new numerical tool to solve partial differential equations involving Caputo
derivatives of fractional variable order. Three Caputo-type fractional operators are …
derivatives of fractional variable order. Three Caputo-type fractional operators are …
[图书][B] Fractional calculus with applications in mechanics: wave propagation, impact and variational principles
The books Fractional Calculus with Applications in Mechanics: Vibrations and Diffusion
Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation …
Processes and Fractional Calculus with Applications in Mechanics: Wave Propagation …
[图书][B] Computational methods in the fractional calculus of variations
This book fills a gap in the literature by introducing numerical techniques to solve problems
of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such …
of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such …
A new approach for solving integro-differential equations of variable order
In this work, we consider a class of nonlinear integro-differential equations of variable-order.
Existence, uniqueness and stability results are discussed. For solving the considered …
Existence, uniqueness and stability results are discussed. For solving the considered …
Detection of apple defects based on the FCM-NPGA and a multivariate image analysis
W Zhang, J Hu, G Zhou, M He - IEEE Access, 2020 - ieeexplore.ieee.org
In existing machine vision technology for fruit defects, the hue appears different, and the
defect area is small due to the irregularity of illumination reflection from the surface incident …
defect area is small due to the irregularity of illumination reflection from the surface incident …
Boundary-value problem for nonlinear fractional differential equations of variable order with finite delay via Kuratowski measure of noncompactness
B Telli, MS Souid, I Stamova - Axioms, 2023 - mdpi.com
This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional
differential equations of variable order involving finite delays. The existence of solutions is …
differential equations of variable order involving finite delays. The existence of solutions is …