Spectral Methods for Fractional Functional Models
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "Mathematical Physics".
Deadline for manuscript submissions: closed (31 May 2024) | Viewed by 4779
Special Issue Editors
Interests: analytical methods; numerical methods; fractional differential equations; wave propagation; mathematical physics; nonlinear partial differential equations
Special Issues, Collections and Topics in MDPI journals
Interests: numerical analysis; fractional integral equations; fractional partial differential equation; mathematical models
Special Issues, Collections and Topics in MDPI journals
Interests: applied mathematics; statistics; epidemiology
Special Issues, Collections and Topics in MDPI journals
Interests: fuzzy systems; fractional modelling; optical solitons; applied artificial intelligence
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
It is a well-established fact that many powerful tools, such as partial differential equations, integral equations, and integro-differential equations, have been used to model a wide variety of nonlinear phenomena, ranging from nonlinear optics to plasma physics, circuit theory, and biology. Although the usefulness of such useful tools in modelling nonlinear phenomena is undeniable, researchers have faced issues whereby these tools do not have the necessary efficiency in providing an accurate model with which to describe nonlinear phenomena. Today, such tools, combined with fractional operators, provide effective methods for describing nonlinear phenomena, which have been the subject of much research. Such problems can be handled with a wide range of useful methods including finite difference methods, radial basis function methods, and spectral methods (collocation, Galerkin, and Tau). The key goal of the current Special Issue is to present the latest research on the solutions to the above problems involving fractional operators using spectral methods. Original research and review articles are highly welcomed. Potential topics include, but are not limited to, the following areas:
- Spectral Methods for Fractional Partial Differential Equations
- Spectral Methods for Fractional Integral Equations
- Spectral Methods for Integro-Differential Equations Involving Fractional Operators
- Spectral Methods for Systems of Fractional Differential Equations
Dr. Kamyar Hosseini
Dr. Khadijeh Sadri
Prof. Dr. Evren Hınçal
Prof. Dr. Soheil Salahshour
Guest Editors
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Keywords
- spectral methods for fractional partial differential equations
- spectral methods for fractional integral equations
- spectral methods for integro-differential equations involving fractional operators
- spectral methods for systems of fractional differential equations
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