Manuscript Topics

Complex systems in nature and in applied sciences are often described by nonlinear partial differential equations. Their value is widely recognized and supported by empirical and numerical evidence.

The aim of this proposal is to explore the theory of deterministic and stochastic PDEs using mathematical analysis from both deterministic and probabilistic perspectives.

This special volume is devoted to original and new results on the PDEs in real physical phenomena. The principal scope is to cover new theoretical results and related applications in deterministic and stochastic nonlocal models, numerical techniques or theoretical justification for their calibration, and insights and outlooks on the potentials of new models in interpreting and discovering nature rules.

Potential topics include, but are not limited to:
• Stochastic nonlocal differential and partial differential equations (SDEs, SPDEs)
• Numerical analysis and methods of nonlocal SDEs and SPDEs
• Local and global existence of the solutions
• Theories and applications of attractors, invariant measures, large deviations, fractional calculus, traveling wave, stochastic control, invariant manifolds, random matrices and chaos for deterministic and stochastic differential equations.
• Population and evolutionary models
• Fractional deterministic diffusion equations
• Fractional stochastic partial differential equations to complex real-world problems
• Existence, uniqueness and regularity of solutions

Instructions for authors
https://www.aimspress.com/era/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/