Journal of Function Spaces

Fractional Problems with Variable-Order or Variable Exponents


Publishing date
01 Aug 2021
Status
Closed
Submission deadline
26 Mar 2021

Lead Editor

1Hohai University, Nanjing, China

2University of Campinas, Campinas, Brazil

This issue is now closed for submissions.
More articles will be published in the near future.

Fractional Problems with Variable-Order or Variable Exponents

This issue is now closed for submissions.
More articles will be published in the near future.

Description

In recent years, fractional problems have begun to be introduced into Sobolev and Orlicz space and gradually generated the fractional Sobolev and Orlicz theory. These theories have attracted extensive attention from many scholars worldwide. They have been widely used in the fields of mathematics, finance, physics, and chemistry.

Concepts include non-local types of operators and equations on Sobolev and Orlicz spaces, (variable-order) fractional Laplace operators (with variable exponents), fractional magnetic operators, fractional p(x)-Laplacian, and so on. It is our main goal to involve these various types of operators in partial differential equations. Many new theorems of continuous embedding and compact embedding about these operators in space need to be studied and perfected. At the same time, we also pay attention to the existence and multiplicity of solutions, as well as the asymptotic behaviour, monotonicity, symmetry, and regularity.

The aim of this Special Issue is to collect original and high-quality research and review articles related to the development of the theory and method of fractional equations with variable exponents and their applications. We welcome in-depth studies of existing problems and some problems that have never been solved. We encourage submissions relating to new embedding theorems and inequalities of Sobolev and Orlicz space and the related problems in the theory.

Potential topics include but are not limited to the following:

  • Variational methods and their application
  • Fractional differential problems with variable exponents
  • Fractional Schrodinger equations with variable exponents
  • Fractional magnetic operator equations with variable exponents
  • Variable-order fractional problems
  • Fractional Sobolev and Orlicz space and their applications
  • Embedding theorems and inequalities of Sobolev and Orlicz space
  • Critical point theorems and their applications
  • Fractional Kirchhoff equations and their applications

Articles

  • Special Issue
  • - Volume 2021
  • - Article ID 9957952
  • - Research Article

Multiplicity Solutions of Fractional Impulsive -Laplacian Systems: New Result

Rafik Guefaifia | Mohamed Abdalla | ... | Ibrahim Mekawy
  • Special Issue
  • - Volume 2021
  • - Article ID 9939147
  • - Research Article

A Study on the Solutions of a Multiterm FBVP of Variable Order

Zoubida Bouazza | Sina Etemad | ... | Mohammed K. A. Kaabar
  • Special Issue
  • - Volume 2021
  • - Article ID 6642655
  • - Research Article

Caputo Fractional Derivative Hadamard Inequalities for Strongly -Convex Functions

Xue Feng | Baolin Feng | ... | Ze Wu
  • Special Issue
  • - Volume 2021
  • - Article ID 5510387
  • - Research Article

On Existence of Sequences of Weak Solutions of Fractional Systems with Lipschitz Nonlinearity

Rafik Guefaifia | Salah Mahmoud Boulaaras | ... | Bahri-Belkacem Cherif
  • Special Issue
  • - Volume 2021
  • - Article ID 5558074
  • - Research Article

A Class of Variable-Order Fractional -Kirchhoff-Type Systems

Yong Wu | Zhenhua Qiao | ... | Libo Yang
  • Special Issue
  • - Volume 2021
  • - Article ID 5572645
  • - Research Article

Existence of Two Positive Solutions for Two Kinds of Fractional -Laplacian Equations

Yong Wu | Said Taarabti
  • Special Issue
  • - Volume 2021
  • - Article ID 6686213
  • - Research Article

Existence and Uniqueness of Weak Solutions to Variable-Order Fractional Laplacian Equations with Variable Exponents

Yating Guo | Guoju Ye
  • Special Issue
  • - Volume 2020
  • - Article ID 6675031
  • - Research Article

Weak Comparison Principle for Weighted Fractional -Laplacian Equation

Jin Xie
  • Special Issue
  • - Volume 2020
  • - Article ID 8822532
  • - Research Article

Infinitely Many High Energy Solutions for the Generalized Chern-Simons-Schrödinger System

Hua Su | Yongqing Wang | Jiafa Xu
  • Special Issue
  • - Volume 2020
  • - Article ID 8816696
  • - Research Article

Existence of Solutions to Elliptic Problem with Convection Term and Lower-Order Term

Xiaohua He | Shuibo Huang | ... | Yonglin Xu
Journal of Function Spaces
 Journal metrics
Acceptance rate28%
Submission to final decision43 days
Acceptance to publication37 days
CiteScore2.600
Impact Factor1.807
 Submit

Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.