Fractional Calculus – Theory and Applications, 3rd Edition

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Analysis".

Deadline for manuscript submissions: 28 February 2025 | Viewed by 12

Special Issue Editor


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Guest Editor
1. Department of Mathematics, School of Digital Technologies, Tallinn University, 10120 Tallinn, Estonia
2. Department of Mathematics and Physics, Autonomous University of Aguascalientes, Aguascalientes 20131, Mexico
Interests: fractional calculus; difference equations; differential equations
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Special Issue Information

Dear Colleagues,

In recent years, fractional calculus has witnessed tremendous progress in various areas of sciences and mathematics. On the one hand, new definitions of fractional derivatives and integrals have appeared in recent years, extending the classical definitions in some sense or another. Moreover, the rigorous analysis of the functional properties of those new definitions has been an active area of research in mathematical analysis. Systems considering differential equations with fractional-order operators have been investigated rigorously from the analytical and numerical points of view, and potential applications have been proposed in science and in technology. The purpose of this Special Issue is to serve as a specialized forum for the dissemination of recent progress in the theory of fractional calculus and its potential applications. We invite authors to submit high-quality reports on the analysis of fractional-order differential/integral equations, the analysis of new definitions of fractional derivatives, numerical methods for fractional-order equations, and applications to physical systems governed by fractional differential equations, among other interesting topics of research.

Prof. Dr. Jorge E. Macías Díaz
Guest Editor

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Keywords

  • fractional-order differential/integral equations
  • existence and regularity of solutions
  • numerical methods for fractional equations
  • analysis of convergence and stability
  • applications to science and technology

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