Spectral Methods for Fractional Functional Models

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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