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Fractional Calculus and Fractional Differential Equations: Theory and Applications
This special issue belongs to the section “E: Applied Mathematics“.
Special Issue Information
Dear Colleagues,
In recent decades, generalizations of the derivative and the integral, the two fundamental operators of ordinary calculus, have gained great relevance; the set of mathematical results generated from these generalizations is called fractional calculus. As a natural consequence, the theory of differential equations has also become generalized and the scientific community from areas such as mathematics, physics, chemistry, biology, economy, and engineering have witnessed how the models governed by these equations have great flexibility in describing and predicting various processes inherent to the corresponding areas of knowledge; this generalization is called fractional differential equations.
This Special Issue entitled “Fractional Calculus and Fractional Differential Equations: Theory and Applications” aims to collate original articles with contributions in all areas of science and engineering, such as new definitions and properties of fractional operators; new inequalities with fractional operators; fractional partial differential equations; fractional stochastic differential equations; applications of fractional ordinary, partial, or stochastic differential equations; and neural network methods for solving fractional differential equations.
Dr. Jorge Sánchez-Ortiz
Dr. Martin P. Arciga-Alejandre
Dr. Ricardo Abreu-Blaya
Guest Editors
Manuscript Submission Information
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Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.
Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.
Keywords
- inequalities for fractional operators
- fractional Lotka–Volterra equations
- fractional reaction–diffusion equations
- variable-order fractional differential equations
- stochastic fractional differential equations
- neural network methods for fractional differential equations
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