Fractional Calculus and Fractional Differential Equations: Theory and Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".
Deadline for manuscript submissions: 20 September 2025 | Viewed by 8
Special Issue Editors
Interests: fractional calculus; fractional differential equations; mathematical modelling
Interests: fractional calculus; differential equations
Interests: complex and hypercomplex analysis; boundary value problems and singular integral equations
Special Issues, Collections and Topics in MDPI journals
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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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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