Recent Advances in Fractal and Fractional Calculus
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "C1: Difference and Differential Equations".
Deadline for manuscript submissions: 31 December 2025 | Viewed by 445
Special Issue Editor
Interests: functional analysis; fractional calculus; fractional integro-differential equations; fractional integro-difference equations
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The theories of fractal geometry, fractional calculus and fractional differential equations are active fields of research for many mathematicians. Fractional calculus and fractional differential equations, which emerged as the most important field of applied mathematics in the recent century, can be viewed as a special part of the theory of (abstract) Volterra integro-differential equations.
Additionally, discrete fractional calculus, discrete fractional differential equations and discrete Volterra equations are rapidly growing fields of research. Discrete fractional calculus is important in the modeling of various phenomena concerning complex dynamic systems, frequency response analysis, image processing, interval-valued systems and neural networks, etc.
The main purpose of this Special Issue is to present the recent developments in the theory of fractals, fractional calculus and fractional integro-differential and integro-difference equations. Thus, we encourage authors to submit papers on the applications of fractals and fractional integro-differential equations.
Prof. Dr. Marko Kostić
Guest Editor
Manuscript Submission Information
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Keywords
- fractional calculus
- fractional differential equations
- fractional difference equations
- multidimensional fractional calculus
- fractal geometry
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