Manuscript Topics

Mathematical models with fractional differential operators can describe many physical phenomena exhibiting anomalous diffusion, and have been applied to many fields such as viscoelasticity, neurons, electrochemistry, control, biomedical physics, porous media and electromagnetism. Thus the development and improvement of fractional differential equation theory is of great significance for the study of corresponding physical phenomena exhibiting anomalous diffusion. The aim of this special issue is to report on the latest achievements and recent development in the algebra analysis and computational methods for solving various fractional differential equations include in anomalous diffusion but are not limited.

This special issue will collect high-quality original research articles as well as review articles in the above scope. Potential topics include but are not limited to:

• Dynamical fractional differential equations with anomalous diffusion
• Nonlocal fractional order boundary value problems
• Fractional functional differential equations
• Impulsive fractional differential and integral equations
• Inequalities of fractional integrals and derivatives
• Numerical analysis for nonlinear fractional differential equations
• Analysis and control for fractional differential equations
• Fractional financial mathematics models
• Fractional Partial differential equations and their applications
• Algebra analysis for fractional differential equations
• Fixed point theory and application in fractional calculus
• Fractional network arising in physical models
• Fractional stochastic differential equations

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