New Theory and Applications of Nonlinear Analysis, Fractional Calculus and Optimization

Dear Colleagues,

Nonlinear analysis has widespread and significant applications in many areas at the core of many branches of pure and applied mathematics and modern science, including nonlinear ordinary and partial differential equations, critical point theory, functional analysis, fixed point theory, nonlinear optimization, fractional calculus, variational analysis, convex analysis, dynamical system theory, mathematical economics, data mining, signal processing, control theory, and many more besides. The rapid development of fractional calculus and its applications during the past thirty years or more has led to a number of scholarly essays that on the importance of its promotion and application in physical chemistry, probability and statistics, electromagnetic theory, financial economics, biological engineering, electronic networks, and so forth. Almost all areas of modern science and engineering have been influenced by the theory of fractional calculus. Due to the complexity of the various problems that arise in nonlinear analysis, fractional calculus and optimization, it is not always easy to find exact solutions, which often leads researchers to resort to approximate solutions. Over the past eighty years, optimization problems have been intensively studied, and many scholars have developed various feasible methods with which to analyze the convergence of algorithms and find approximate solutions.

This Special Issue will pay greater attention to the new originality and real-world applications of nonlinear analysis, fractional calculus, optimization and their applications. We are pleased to invite researchers to contribute their original and high-quality research papers in order to inspire advances in nonlinear analysis, fractional calculus, optimization and their applications. Potential topics include, but are not limited to:

• Nonlinear functional analysis;
• Fixed point, coincidence point, and best proximity point theory;
• Set-valued analysis;
• Critical point theory;
• Matrix theory;
• Convex analysis;
• Boundary value problems;
• Singular and impulsive fractional differential and integral equations;
• Well-posedness of fractional system;
• Fractional epidemic model;
• Modeling biological phenomena;
• Nonsmooth analysis and optimization;
• Stability analysis;
• Dynamics and chaos.

Prof. Dr. Wei-Shih Du
Guest Editor

Manuscript Submission Information

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