Manuscript Topics

Modeling behaviours of real world problems have been a great concern for mankind as they use these model to analysis, understand and predict behaviour of real world problems. One of the approach used to achieve this goal is stochastic processes. These processes are wider utilized as mathematical models of complex systems and phenomena that occur to alter in stochastic patterns. A specific example can include the spread of given disease in a targeted population, where the daily numbers of new infected individual are recorded. Other examples can include the growth of a bacterial population, electrical current fluctuating because of thermal noise. Many more examples can be listed in many fields including control theory, computer science, neuroscience, image processing, telecommunications, signal processing, physics, chemistry ecology, biology and geohydrology. Although classical stochastic processes have been used in many scenarios, it is important noting that, there are several stochastic processes that display different behaviour like nonlocal behaviours. These processes cannot be modelled using classical. For example, a physical problem displaying stochastic pattern within a period of time [a, b] later its display power law behaviour, such process cannot be handled using only stochastic processes. Indeed many real world problem, exhibit such crossover behaviours and they cannot be modelled neither using fractional differential operators nor stochastic processes. It is therefore important to investigate another avenue that can be useful to replicate such processes. Although it is believed that there is no new things under the sun, it is sometime novel to put together two existing theories that could lead to a novel theory. This special issue will be devoted to collecting results about theory, methods and application to fractional stochastic processes.

The issue of the subject will be focused but not limited to:  
• Numerical methods for piecewise stochastic processes with application to epidemiology  
• Analytical methods for piecewise fractional stochastic  differential and integral equations and application to ecology  
• Theoretical results on fractional stochastic ordinary differential equations with piece-wise operators.  
• Theoretical results on piece-wise fractional stochastic partial differential equations.  
• Application of fractional stochastic differential and integral equations to chaos  
• Piecewise fractional stochastic delay differential equations.  
•  Application of fractional stochastic partial differential equations to complex real world problems.  
•  Application of fractional stochastic delay partial differential and integral equations.  
• Piece-wise nonlinear fractional stochastic differential and integral equations with applications.

Instruction for Authors
http://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/