Manuscript Topics

This Special Issue aims to publish research and review papers on partial differential equations, nonlinear analysis, control, and optimization problems formulated in function spaces with applications in engineering, complex systems, population dynamics, and network problems. More precisely, the main purpose is to investigate the regularity results, well-posedness of Dirichlet problems, stability results, convergence results, qualitative properties of the solutions for certain classes of PDEs. Also, we intend to study well-posedness, (robust) optimal solutions, necessary/sufficient conditions of efficiency, and innovative techniques in new classes of (multiobjective) variational (control) problems governed by multiple and/or path-independent curvilinear integral cost functionals and mixed constraints involving first- and second-order partial differential equations. In consequence, I cordially invite you to publish your results on this topic or related subjects (variational and integral inequalities, equilibrium problems, fixed point problems, evolutionary problems, and so on) in this Special Issue.

Potential topics include, but are not limited to:

Well-posedness of Dirichlet problems
Existence, uniqueness and multiplicity results
Qualitative properties of the solutions
Fractional-order differential/integral (in)equations
New fractional-order operators and their properties
Existence, uniqueness and regularity of solutions
Analysis of convergence and stability
Controlled dynamical systems
Applications to real-world phenomena

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