Journal of Function Spaces

Recent Advance in Function Spaces and their Applications in Fractional Differential Equations


Publishing date
01 Feb 2019
Status
Published
Submission deadline
14 Sep 2018

Lead Editor

1Curtin University of Technology, Perth, Australia

2Qufu Normal University, Qufu, China


Recent Advance in Function Spaces and their Applications in Fractional Differential Equations

Description

Fractional differential equation is a new research area of analytical mathematics which provides useful tools to model many physical and biological phenomena and optimal control of complex processes with memory effects. Function space theory has played an important role in the study of various fractional differential equations and complex real world problems. Therefore, by using function space theory, understanding the characteristics of solutions and developing the properties of approximate solutions of this type of equations would have profound impact on many disciplines. New advancement of function space theory will greatly promote the development of fractional calculus theory, functional theory, and mathematical physics as well as their applications in differential and integral equations. The aim of this special issue is to report and promote the latest achievements and recent development in the well-posedness analysis and computational methods and function space theory for solving various fractional differential equations.

We invite researchers to submit original research articles as well as review articles on the recent development in the theory of function space and the applications of nonlinear fractional differential equations to sciences, technologies, and engineering.

Potential topics include but are not limited to the following:

  • Function space theory including fractional derivative
  • Boundary value problems of fractional differential equations
  • Initial value problems of fractional differential equations
  • Inequalities of fractional integrals and fractional derivatives
  • Singular and impulsive fractional differential and integral equations
  • Analysis and control in fractional differential equations
  • Numerical analysis and algorithm for fractional differential equations
  • Fixed point theory and application in fractional calculus
  • Operator theory in function spaces and operator algebras
  • Fractional functional equations in function spaces

Articles

  • Special Issue
  • - Volume 2019
  • - Article ID 5719808
  • - Editorial

Recent Advance in Function Spaces and Their Applications in Fractional Differential Equations

Xinguang Zhang | Lishan Liu | ... | Liguang Wang
  • Special Issue
  • - Volume 2019
  • - Article ID 6295019
  • - Research Article

Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces

Bo Zhu | Baoyan Han | Xiangyun Lin
  • Special Issue
  • - Volume 2019
  • - Article ID 6091602
  • - Research Article

Some Remarks on Estimate of Mittag-Leffler Function

Jia Jia | Zhen Wang | ... | Yunliang Wei
  • Special Issue
  • - Volume 2019
  • - Article ID 1314268
  • - Research Article

Differential Harnack Estimates for a Semilinear Parabolic System

Hui Wu
  • Special Issue
  • - Volume 2019
  • - Article ID 4358959
  • - Research Article

Toeplitz Operator and Carleson Measure on Weighted Bloch Spaces

Yanhua Zhang
  • Special Issue
  • - Volume 2019
  • - Article ID 9046472
  • - Research Article

Solutions for a Class of Hadamard Fractional Boundary Value Problems with Sign-Changing Nonlinearity

Keyu Zhang | Zhengqing Fu
  • Special Issue
  • - Volume 2019
  • - Article ID 7916486
  • - Research Article

Two New Geraghty Type Contractions in -Metric Spaces

Yixiao Wang | Chunfang Chen
  • Special Issue
  • - Volume 2019
  • - Article ID 7161894
  • - Research Article

Positive Solutions for a Higher-Order Semipositone Nonlocal Fractional Differential Equation with Singularities on Both Time and Space Variable

Kemei Zhang
  • Special Issue
  • - Volume 2019
  • - Article ID 9754679
  • - Research Article

Option Pricing under the Jump Diffusion and Multifactor Stochastic Processes

Shican Liu | Yanli Zhou | ... | Xiangyu Ge
  • Special Issue
  • - Volume 2019
  • - Article ID 6750892
  • - Research Article

Solution of Hamilton-Jacobi-Bellman Equation in Optimal Reinsurance Strategy under Dynamic VaR Constraint

Yuzhen Wen | Chuancun Yin
Journal of Function Spaces
 Journal metrics
Acceptance rate28%
Submission to final decision43 days
Acceptance to publication37 days
CiteScore2.000
Impact Factor1.896
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