Journal of Function Spaces

Recent Development on Nonlinear Methods in Function Spaces and Applications in Nonlinear Fractional Differential Equations


Status
Published

Lead Editor

1Curtin University of Technology, Perth, Australia

2Qufu Normal University, Qufu, China

3Shandong University of Finance and Economics, Jinan, China


Recent Development on Nonlinear Methods in Function Spaces and Applications in Nonlinear Fractional Differential Equations

Description

Nonlinear fractional differential equations arise from scientific research, modeling of nonlinear phenomena, and optimal control of complex systems. Function space theory has played an important role in the study of real world nonlinear fractional differential equations and the development of new technologies. Key research areas in this field include well-posedness of fractional mathematical models, development on nonlinear methods in function space, approximation theories and operator theory in function space, numerical computational methods, and control for nonlinear fractional differential equations.

We invite researchers to submit original research articles as well as review articles on various aspects of function space theories and their applications in nonlinear fractional differential equations to sciences, technologies, and engineering.

Potential topics include but are not limited to the following:

  • Nonlinear methods in function spaces
  • Novel technique to fractional differential equations in function spaces
  • Operator theory to fractional differential equations in function spaces
  • Nonlocal fractional models in function spaces
  • Impulsive fractional differential and integral equations
  • Numerical analysis for nonlinear fractional differential equations
  • Analysis and control in fractional differential equations
  • Fractional partial differential equation in function spaces
  • Fractional evolution equations in function spaces

Articles

  • Special Issue
  • - Volume 2017
  • - Article ID 1014250
  • - Research Article

Global Structure of Positive Solutions for Some Second-Order Multipoint Boundary Value Problems

Hongyu Li | Junting Zhang
  • Special Issue
  • - Volume 2017
  • - Article ID 4571067
  • - Research Article

Multiple Positive Solutions for Quadratic Integral Equations of Fractional Order

Hui-Sheng Ding | Man-Man Liu | Juan J. Nieto
  • Special Issue
  • - Volume 2017
  • - Article ID 3046013
  • - Research Article

Ulam Type Stability for a Coupled System of Boundary Value Problems of Nonlinear Fractional Differential Equations

Aziz Khan | Kamal Shah | ... | Tahir Saeed Khan
  • Special Issue
  • - Volume 2017
  • - Article ID 3976469
  • - Research Article

New Result on the Critical Exponent for Solution of an Ordinary Fractional Differential Problem

Xinguang Zhang | Lishan Liu | ... | Yujun Cui
  • Special Issue
  • - Volume 2017
  • - Article ID 3793872
  • - Research Article

Existence and Multiplicity of Nontrivial Solutions for a Class of Semilinear Fractional Schrödinger Equations

Xinsheng Du | Anmin Mao
  • Special Issue
  • - Volume 2017
  • - Article ID 6979571
  • - Research Article

Existence of Mild Solutions and Controllability of Fractional Impulsive Integrodifferential Systems with Nonlocal Conditions

Haiyong Qin | Zhenyun Gu | ... | Tongxing Li
  • Special Issue
  • - Volume 2017
  • - Article ID 4751357
  • - Research Article

Convergence Analysis of Generalized Jacobi-Galerkin Methods for Second Kind Volterra Integral Equations with Weakly Singular Kernels

Haotao Cai
  • Special Issue
  • - Volume 2017
  • - Article ID 8059578
  • - Research Article

Oscillation Criteria for Nonlinear Third-Order Neutral Dynamic Equations with Damping on Time Scales

Yang-Cong Qiu | Akbar Zada | ... | Tongxing Li
  • Special Issue
  • - Volume 2017
  • - Article ID 3795172
  • - Research Article

A Regularity Criterion for the 3D Incompressible Magnetohydrodynamics Equations in the Multiplier Spaces

Chunhong Tian
  • Special Issue
  • - Volume 2017
  • - Article ID 6910926
  • - Research Article

Rogue Wave Solutions and Generalized Darboux Transformation for an Inhomogeneous Fifth-Order Nonlinear Schrödinger Equation

N. Song | W. Zhang | ... | Y. K. Xue
Journal of Function Spaces
 Journal metrics
Acceptance rate28%
Submission to final decision43 days
Acceptance to publication37 days
CiteScore2.600
Journal Citation Indicator1.360
Impact Factor1.807
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Article of the Year Award: Outstanding research contributions of 2020, as selected by our Chief Editors. Read the winning articles.