The Solutions of Partial Differential Equations and Recent Applications, 2nd Edition
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: closed (23 July 2023) | Viewed by 2027
Special Issue Editor
Interests: integral transforms and special functions; generalized functions; generalized hypergeometric functions; distributions; ultra-distributions; topological semigroups, fractional integro-differential equations; fractals and fractional inequalities; fuzzy soft sets and applications in decision making
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Partial differential equations with fractional and integer orders have been applied in many modeling problems. They are inspired by the problems that arise in diverse fields such as biology, finance, physics, differential geometry, control theory, as well as engineering. Furthermore, the formulations of theorems that describe the initial value and boundary value problems are of particular interest to PDE. Here, we consider the wide range of applications, including some physical applications—in particular, the fractional form of the advection–dispersion equation—and the fundamental solution in the form of the Lévy α-stable distribution density among the important applications of fractional modeling. In this Special Issue, we aim to cover the recent developments of the typical models, to generalize the known standard problems, and to replace classical terms with fractional forms.
Dr. Adem Kilicman
Guest Editor
Manuscript Submission Information
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Keywords
- linear and quasi-linear PDEs
- classification of PDEs
- ill-posed and well-posed problems
- Dirichlet and Neumann problems in PDEs
- maximum principles
- fractional modeling and PDEs
