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Fractional Calculus and Applied Analysis

Editor In Chief: Virginia Kiryakova
Your benefits:
  • Interdisciplinary and applied approach
  • High value of impact factor
  • Prominent members of Editorial Board
  • High quality peer-review

Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.

    Primary topics of FCAA:

  • Fractional Calculus (FC)
  • Special Functions and Integral Transforms, related to FC
  • Fractional Order Differential and Integral Equations and Systems
  • Mathematical Models of Phenomena, described by the above topics
    Secondary topics from Applied Mathematical Analysis, iff related to FC:

  • Algebraic Analysis, Operational and Convolutional Calculi
  • Generalized Functions, Harmonic Analysis
  • Numerical and Approximation Methods, Computational Procedures and Algorithms, related to the Primary FCAA topics
  • Fractional Stochastic Processes
  • Fractal and Integral Geometry
    Applications of these techniques to:

  • Differential and Integral Equations, Problems of Mathematical Physics
  • Control Theory, Mechanics, Probability and Statistics, Finances, Engineering, etc.
    Other contributions:

  • If revealing connections between Fractional Calculus and the above-mentioned topics to model problems of the real physical and social world

Article formats
Research Papers, Survey Papers, Discussion Surveys and Notes, Short Notes, Open Problems, Archives (renewal publication of old and hardly accessible or in other languages articles of significant interest for the journal’s audience), Reviews on Books, Proceedings, etc., Editorial Notes with announcements for New Books, Recent and Forthcoming Meetings, Anniversaries and other events related to FCAA

> Information on submission process

Journal Metrics

5-year Impact Factor
Cite Score
Impact Factor
Mathematical Citation Quotient
SCImago Journal Rank
Source Normalized Impact per Paper


The journal was founded in 1998 and published during 1998 – 2010 by the Institute of Mathematics and Informatics – Bulgarian Academy of Sciences, Sofia, with the valuable support of its Founding Editors, among them – the pioneers of the contemporary fractional calculus (in the lists of Honorary Founding Editors and Honorary Editors).

In the period 2011 – 2014 (Vol. 14 to Vol. 17) the FCAA journal was co-published by Versita (now: De Gryuter Open), Warsaw and Springer-Verlag, Wien, as the first Bulgarian scientific journal in their joint publishing program for East Europe. A wide popularity was achieved by its both print version and electronic version, then at SpringerLink, http://link.springer.com/journal/13540 .

Since Vol. 18 (2015), the publisher and distributor of FCAA is Walter de GruyterGmbH, Berlin / Boston, and the main website is http://www.degruyter.com/view/j/fca.

We acknowledge the continued support and cooperation of the Institute of Mathematics and Informatics - Bulgarian Academy of Sciences.

Back Issues

The contents of the Back Volumes (Vol. 1, 1998 – Vol. 13, 2010) are available online at Editor’s websites:
http://www.math.bas.bg/~fcaa , http://www.diogenes.bg/fcaa .

The tables of contents of all FCAA volumes (Vol.1, 1998 – Vol. 19, 2016) can be downloaded by clicking the "FCAA Tables of Contents 1998-014" link located under Supplemenary Information.

Abstracting & Indexing

Fractional Calculus and Applied Analysis is covered by the following services:

  • Baidu Scholar
  • CNKI Scholar (China National Knowledge Infrastructure)
  • CNPIEC - cnpLINKer
  • Dimensions
  • EBSCO (relevant databases)
  • EBSCO Discovery Service
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  • J-Gate
  • Journal Citation Reports/Science Edition
  • JournalGuide
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  • KESLI-NDSL (Korean National Discovery for Science Leaders)
  • Mathematical Reviews (MathSciNet)
  • Microsoft Academic
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  • TDNet
  • Ulrich's Periodicals Directory/ulrichsweb
  • WanFang Data
  • Web of Science - Current Contents/Physical, Chemical and Earth Sciences
  • Web of Science - Science Citation Index Expanded
  • WorldCat (OCLC)
  • Yewno Discover
  • zbMATH

Manuscripts should be submitted to FCAA electronically to the Editor-in-Chief 
Virginia Kiryakova by e-mail to virginia@diogenes.bg (or fcaa@math.bas.bg), subject: FCAA, by a Corresponding Author with a reliable and unchanging email address.

Please check our Editorial Policy before submitting.

Please note

  • Manuscripts must be written in clear and concise English
  • FCAA manuscripts must be prepared in LaTeX and submitted in pdf-format
  • The authors should be ready to provide upon acceptance, finally revised versions of the LaTeX source and the figures’ files (if any, in eps- and pdf-format), together with the final pdf-file and the Transfer of Copyright Agreement (TCA form for FCAA). The Instructions for Authors and FCAA format should be followed strictly, and it is expected almost camera-ready prepared manuscript
  • Once your article is accepted you have the option to publish it open access
  • Our repository policy allows you to distribute 30 PDF copies of your published article to colleagues (the PDF has to include the information that it is an author's copy). Please also feel free to distribute the link to the online abstract
Your benefits of publishing with us
  • Rapid online publication with short turnaround times
  • High quality manuscript processing
  • Optional open access publication
  • Accepted papers can be published online first as DOI-citable, forward-linked articles for quickest possible visibility for the scientific community
  • Every article easily discoverable because of SEO and comprehensive abstracting and indexing services
  • Convenient citation tracking via e-mail alert
  • Secure archiving by De Gruyter and the independent archiving service Portico
  • Professional sales and marketing support

We look forward to receiving your manuscript!

Hybrid Open Access

For complete details on hybrid open access publishing at De Gruyter please see: https://www.degruyter.com/page/560

Effective 1st January 2016, authors from an institution affiliated with either the Association of Dutch Universities (VSNU), the Consortium of Swiss Academic Libraries or some UK libraries participating in the Jisc Collections SMP may publish primary research and review articles open access in any of De Gruyter's OnlineOpen journals at a discount of 90% of the APC price. For more information and to confirm whether your institution is eligible please see the following:

The Netherlands: https://www.degruyter.com/page/1461
The UK: https://www.degruyter.com/page/1462
Switzerland: https://www.degruyter.com/page/1463


Virginia Kiryakova
Institute of Mathematics and Informatics – Bulgarian Academy of Sciences, Bulgaria
Email: virginia@diogenes.bg

Honorary Founding Editors:
Rudolf Gorenflo† (Germany)
Anatoly A. Kilbas† (Belarus)
Eric R. Love† (Australia)
Danuta Przeworska-Rolewicz† (Poland),
Gary F. Roach† (UK)
Ian N. Sneddon† (UK)
Bogoljub Stankovic† (Serbia)

Honorary Editors:
Paul L. Butzer (Dept. Math., RWTH—AACHEN University, Germany)
Michele Caputo (Dipt. di Fisica, Univ. di Roma "La Sapienza", Italy)
Ivan Dimovski (Inst. Mathematics and Informatics – Bulg. Acad. Sci., Bulgaria)
Mourad E.H. Ismail (Dept. Math., Univ. Central Florida, Orlando, USA)
Shyam L. Kalla (Dept. Math., Vyas Inst. Higher Educ. Jodhpur, India)
Francesco Mainardi (Dept. Phys. Astron., Univ. of Bologna, Italy)
Oleg Marichev (Wolfram Research Inc., Champaign, USA)
Peter Rusev (Inst. Mathematics and Informatics – Bulg. Acad. Sci., Bulgaria)
Megumi Saigo (Dept. Appl. Math., Fukuoka Univ., Japan)
Stefan Samko (Fac. Cienc. e Techn., Univ. do Algarve, Portugal)
Jerome Spanier (School of Math. Sci., Claremont Graduate Univ., USA)
Hari M. Srivastava (Dept. Math. Stat., Univ. of Victoria, BC - Canada)

Associate Editors:
Kai Diethelm (Faculty ANG, Univ. of Appl. Sci. Würzburg-Schweinfurt, Germany)
Yuri Luchko (Dept. Math. Phys. Chem., BeuthTechn. Univ. of Appl. Sci. Berlin, Germany)
Juan J. Nieto (Dept. Math. Anal., Univ. of Santiago de Compostela, Spain)
Ivo Petras (Fac. of BERG, Techn. Univ. of Kosice, Slovak R.)
J.A. Tenreiro Machado (Dept. Electr. Engn., Inst. of Engn., Polytechnic of Porto, Portugal)

Editorial Board:
Teodor Atanackovic (Serbian Academy of Sci. and Arts – Novi Sad Branch, Serbia)
Boris Baeumer (Dept. Math. Stat., Univ. of Otago, New Zealand)
Dumitru Baleanu (Dept. Math. Comput. Sci., CankayaUniv., Ankara, Turkey)
Emilia Bazhlekova (Inst. Mathematics and Informatics – Bulg. Acad. Sci., Bulgaria)
Lyubomir Boyadjiev (Dept. Math. Comp. Sci., City Univ. of New York, USA)
Yury Brychkov (Dorodnicyn Computing Center of Russian Acad. Sci., Russia
Alberto Cabada (Dept. Math. Anal., Univ. of Santiago de Compostela, Spain)
Wen Chen (Engn. Mech., Hohai Univ., Nanjing, China)
YangQuan Chen (School of Engn., Univ. of California, Merced, USA)
Mark Edelman (Dept. Physics, Stern Coll. Women, Yeshiva Univ., USA)
Neville Ford (Dept. Math., Univ. of Chester, UK)
Alan Freed (Dept. Mech. Engn. & Dept. Biomed. Engn., Texas A&M Univ., USA)
Rudolf Hilfer (Fak. Math. Phys., Inst. Comput. Phys., Univ. Stuttgart, Germany)
Niels Jacob (Dept. Math., Swansea Univ., UK)
Ravi N. Kalia (Dept. Math., St Cloud State Univ., USA)
Mokhtar Kirane (Univ. de La Rochelle, France)
Malgorzata Klimek (Czestochowa Univ. of Technology – Czestochowa, Poland)
Anatoly Kochubei (Inst. Math., Nat. Acad. Sci. of Ukraine, Kiev, Ukraine)
Vassili Kolokoltsov (Univ. of Warwick, UK & Higher School of Economics/St. Petersburg Univ., Russia)
Raytcho Lazarov (Dept. Math., Texas A&M Univ., USA)
Changpin Li (Dept. Math., Coll. Sci., Shanghai Univ., China)
Richard Magin (Dept. Bioengn., Univ. of Illinois at Chicago, USA)
Ralf Metzler (Inst. Phys. Astron., Univ. of Potsdam, Germany)
Piotr Mikusinski (Dept. Math., Univ. Central Florida, Orlando, USA)
Donal O’Regan (School Math. Stat. Appl. Math., Nat. Univ. of Ireland, Ireland)
Igor Podlubny (Fac. of BERG, Techn. Univ. of Kosice, Slovak R.)
Sergei Rogosin (Dept. Econ., Belarusian State Univ., Belarus)
Boris Rubin (Dept. Math., Louisiana State Univ., Baton Rouge, USA)
Jocelyn Sabatier (IMS Lab., Bordeaux 1 Univ., France)
Enrico Scalas (Dept. Math., School Math. Phys. Sci., Univ. of Sussex, UK)
Vasily Tarasov (Skobeltsyn Inst. Nucl. Phys., Lomonosov Moscow State Univ., Russia)
StepanTersian (Univ. of Ruse & Inst. Math. and Inform. – Bulg. Acad. Sci., Bulgaria)
Juan J. Trujillo (Dept. Anal. Mat., Univ. of La Laguna, Spain)
Sabir Umarov (Dept. Math., Univ. of New Haven, USA)
Blas Vinagre (Dept. Electr. Electron. Autom. Engn., Univ. of Extremadura, Spain)
Vu Kim Tuan (Dept. Math., Univ. of West Georgia, Carrollton, USA)
Masahiro Yamamoto (Dept. Math. Sci., Univ. of Tokyo, Japan)
Ahmed Zayed (Dept. Math. Sci., DePaul Univ., Chicago, USA)

Board of Assisting Editors:
Anatoly A. Alikhanov (North-Caucasus Federal University, Russia)
Riccardo Caponetto (Dipt. Ing. Elettrica Elettronica Inf., Univ. of Catania, Italy)
Christophe Farges (IMS Lab., CRONE Team, Bordeaux Univ., France)
Roberto Garra (Dipt. Sci. Stat., Sapienza Univ. of Rome, Italy)
Roberto Garrappa (Dept. Math., Univ. of Bari, Italy)
Bangti Jin (Dept. Comput. Sci., Univ. College London, UK)
Gianni Pagnini (BCAM - Basque Center for Appl. Math., Basque Country, Spain)
Andrew W. Wharmby (711th Human Performance Wing/RHDO, Fort Sam Houston, Texas, USA)

Technical Assistant:

Stefan Kiryakov (Diogenes Co., Bulgaria)

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Audience: researchers in the field of mathematical analysis, differential equations, mathematical physics, control theory, stochastics, etc. and applied scientists