About this Research Topic
The subject of fractional calculus (that is, calculus of integrals and derivatives of fractional order) has emerged as a powerful and efficient mathematical instrument during the past six decades, mainly due to its demonstrated applications in numerous seemingly diverse and widespread fields of science and engineering. Consequently, thousands of research articles, monographs and international conference papers, have been published.
Research in fractional differentiation and integration is inherently multi-disciplinary and its application is done in various contexts: continuum mechanics, elasticity, signal analysis, quantum mechanics, bioengineering, biomedicine, financial systems, social systems, pollution control, turbulence, population growth and dispersal, landscape evolution, medical imaging, and complex systems, and some other branches of pure and applied mathematics.
The aim of this Research Topic is to promote the exchange of new and important theoretical and numerical results, as well as computational methods, to study fractional order physical systems, and to spread new trends in the area of fractional calculus and its real-world applications.
In this Research Topic, we provide an international forum for researchers to contribute with original research as well as review papers focusing on the latest achievements in the theory and applications of fractional calculus. Potential topics include, but are not limited to, recent results in:
- Fractional Differential Equations
- Fractional Difference Equations
- Fractional Functional Differential Systems
- New analytical and numerical methods for fractional differential equations
- Fractals and related topics
- Fractional Impulsive Systems
- Fractional Uncertain Systems
- Fuzzy differential equations and their applications
- Fractal signal processing and applications
- Fractional Control Problem.
- Fractional Modelling to Real-World Phenomena
Research in fractional differentiation and integration is inherently multi-disciplinary and its application is done in various contexts: continuum mechanics, elasticity, signal analysis, quantum mechanics, bioengineering, biomedicine, financial systems, social systems, pollution control, turbulence, population growth and dispersal, landscape evolution, medical imaging, and complex systems, and some other branches of pure and applied mathematics.
The aim of this Research Topic is to promote the exchange of new and important theoretical and numerical results, as well as computational methods, to study fractional order physical systems, and to spread new trends in the area of fractional calculus and its real-world applications.
In this Research Topic, we provide an international forum for researchers to contribute with original research as well as review papers focusing on the latest achievements in the theory and applications of fractional calculus. Potential topics include, but are not limited to, recent results in:
- Fractional Differential Equations
- Fractional Difference Equations
- Fractional Functional Differential Systems
- New analytical and numerical methods for fractional differential equations
- Fractals and related topics
- Fractional Impulsive Systems
- Fractional Uncertain Systems
- Fuzzy differential equations and their applications
- Fractal signal processing and applications
- Fractional Control Problem.
- Fractional Modelling to Real-World Phenomena
Keywords: Fractional differential equations, Fractional Dynamics and Chaos, Fractals and related topics, Fractional Control Problem, Fractional Modelling to Real-World Phenomena
Important Note: All contributions to this Research Topic must be within the scope of the section and journal to which they are submitted, as defined in their mission statements. Frontiers reserves the right to guide an out-of-scope manuscript to a more suitable section or journal at any stage of peer review.
