Fractional Calculus and Models in Finance and Economics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Financial Mathematics".

Deadline for manuscript submissions: 30 November 2024 | Viewed by 92

Special Issue Editors

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Guest Editor
Department of MEMOTEF, Sapienza University of Rome, 00161 Rome, Italy
Interests: mathematical finance; multifractional processes; self-similar processes; long-run memory models
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
MEMOTEF, Sapienza University of Rome, Rome, Italy
Interests: markets; statistical distributions; time series analysis; financial markets; finance; empirical finance; volatility modeling; financial modelling; computational finance

Special Issue Information

Dear Colleagues,

Since its initial interest, dating back to the celebrated contributions of mathematicians such as Cauchy, Leibniz, Liouville, and many others, fractional calculus has emerged as a powerful tool in various scientific disciplines. After centuries of relative obscurity, it finally gained substantial attention in the latter half of the 20th century. Today, demonstrating the great versatility of fractional models, it has become a cornerstone in fields ranging from physics to data analysis, from engineering to economics and finance. One of the peculiarities of fractional calculus resides in its ability to model behaviors with long-range dependencies, memory effects, and non-local interactions, which are often prevalent in real-world systems. Unlike classical models that assume instantaneous reactions, fractional calculus-based models allow for the incorporation of past information over an extended period, enabling a more accurate representation of the complex dynamics where the memory of past events or behaviors can significantly influence future outcomes. The inclusion of fractional derivatives in stochastic models, such as the fractional Brownian motion, provides a more realistic representation of irregularities and self-similarity observed in various natural and social phenomena. This has implications not only in physics and engineering but also in understanding the inherent uncertainties and fluctuations in financial markets. As a further generalization, multifractional processes, which involve a combination of different fractional orders, have proven particularly useful in capturing more complex scaling behaviors in various signals, opening avenues for enhanced signal processing techniques.

This Special Issue of Mathematics aims to encourage researchers to submit high-quality papers delving into innovative applications of fractional calculus and related models for a deeper comprehension and prediction of economic and financial phenomena. Topics of interest include fractional and multifractional models, fractional stochastic volatility, scaling and self-similarity, and long memory.

Prof. Dr. Sergio Bianchi
Dr. Massimiliano Frezza
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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.


  • fractional calculus
  • fractional differential equations
  • fractional and multifractional stochastic processes
  • long memory
  • scaling
  • self-similarity
  • non-integer order dynamics
  • memory effects
  • non-local interactions
  • time-varying regularity
  • stochastic volatility
  • anomalous diffusion
  • power-law behavior
  • complex systems modeling
  • applications in finance and economics

Published Papers

This special issue is now open for submission.
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