About this Research Topic
In the past few years, fractional differential equations have emerged as a strong and well-organized mathematical tool in the study of many occurrences in science and engineering. Research in fractional differential equations is multidisciplinary and is used in diverse fields such as control systems, elasticity, electric drives, circuits systems, continuum mechanics, heat transfer, quantum mechanics, fluid mechanics, signal analysis, biomathematics, biomedicine, social systems, bioengineering, management, financial systems, traffic flow, turbulence, complex systems, pollution control, and more.
The principal aims of this Research Topic are:
• To bring together mathematicians, scientists and researchers working in in the field of fractional calculus and its real-word applications.
• To encourage the advancement of new computational techniques.
• To study important fractional differential equations arising in real-word problems.
• To expand new trends in the area of fractional differential equations and their real-world applications.
The collected research papers will provide a short but significant explanation of the most important hot problems in the field of fractional differential equations and their real-word applications.
Authors are called to submit papers that present original research with applications of real-world problems. Potential themes include, but are not limited to, the following:
• Computational techniques for fractional order PDEs arising in physics and engineering
• Fractional order mathematical models in circuits systems and electric drives
• Fractional order derivatives in control systems
• Fractional order models in heat transfer
• Fractional order approach in the field of biomathematics and epidemiology
• Fractional differential equation in traffic flow
• Fractional order derivatives in elasticity problem
• Computational techniques for solving fractional order systems
• Fractals and associated topics
• Fractional differential equations in biophysics
• Fractional differential equations in thermodynamics
• Applications of fractional differential equations in astrophysics and space science
• Applications of fractional differential equations in Newtonian mechanics
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.