Calculus of Variations, Fractional Calculus and Their Applications
A special issue of Fractal and Fractional (ISSN 2504-3110). This special issue belongs to the section "General Mathematics, Analysis".
Deadline for manuscript submissions: 30 September 2025 | Viewed by 146
Special Issue Editor
Interests: calculus of variations; fractional calculus and their applications; mathematical physics; numerical analysis; mathematical modelling; applied mathematics
Special Issue Information
Dear Colleagues,
The calculus of variations has been one of the main branches of analysis for more than two centuries. It is applied to a wide range of problems in pure and applied mathematics and has played a central role in theoretical physics. Moreover, since seminal pioneering works from Fred Riewe, the calculus of variations with functionals depending on fractional derivatives and integrals, namely the fractional calculus of variations, emerged as an important research field to study a large variety of real-world complex systems, for example, in problems displaying either or both multi-scaling and non-local behavior, and in systems with non-conservative forces. The main objective of this Special Issue is to highlight the recent advancements in fractional calculus of variations theory, innovative numerical and analytical methodologies, and potential applications.
Dr. Matheus J. Lazo
Guest Editor
Manuscript Submission Information
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Keywords
- fractional calculus of variations
- fractional derivatives and integrals
- necessary and sufficient optimality conditions
- fractional Euler–Lagrange equation
- numerical and analytical methods
- applications of fractional calculus of variations
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