Fractional order differentiation consists in the generalisation of classical integer differentiation to real or complex orders. During the last decades, fractional differentiation has drawn increasing attention in the study of so-called anomalous social and physical behaviours, where scaling power law of ...
This is an overview of recent topics in the study of fractional integral operators. The article is divided into seven sections as follows: 1. Introduction; 2. Brief review of classical results; 3. Refinements in the case of Lorentz spaces, Orlicz spaces and some related spaces; 4. Extension...
Fractional differential equations have attracted much attention and have been widely used in engineering, physics, chemistry, biology, and other fields (Podlubny, 1999; Xuan et al., 2005). Most nonlinear fractional diffusion equations have no exact solution, the approximate solution or numerical soluti...
8.1.3 Numerical Methods for Fractional Differential Equations In recent years, fractional differential equations and its application have gotten extensive attention. The main reason is due to the rapid development of the theory of fractional calculus itself and is widely used in mathematics, physics, ...
An alternative proof of LqLq – LrLr estimates of the Oseen semigroup in higher dimensional exterior domains Toshiaki Hishida Article:32 Original Paper Uniform estimates for fractional operators Reinhard Farwig, Kazuyuki Tsuda Article:27 Original Paper Liouville type theorems for stationary Navier–...
fractional integro differential equationKrasnoselkii theoremcontraction mapping principleThe aim of the Sino鈥揓apan Conference of Young Mathematicians was to provide a forum for presenting and discussing recent trends and developments in differential equations and their applications, as well as to promote...
Regularity theory of exponential type for elliptic and parabolic partial differential equations in Orlicz spaces Purpose - The purpose of this study is to introduce the reproducing kernel algorithm for treating classes of time-fractional partial differential equations... 猪奥, 倫左 - 《03博士学位論文...
Understanding extreme events attracts scientists due to substantial impacts. In this work, we study the emergence of extreme events in a fractional system
stochastic stochastic-process drift stochastic-differential-equations drift-diffusion diffusion kernel-density-estimation nadaraya-watson Updated Jan 18, 2024 Python 732jhy / Fractional-Brownian-Motion Star 52 Code Issues Pull requests Python implementation of fractional brownian motion python3 stochastic...
University in Osaka; An International Seminar on Univalent Functions, Fractional Calculus, and Their Applications which was held in October 1990 at Fukuoka University; and also the Japan-Korea Symposium on Univalent Functions which was held in January 1991 at Gyeongsang National University in Chinju....