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Fractional Calculus and Applied Analysis

Editor-in-Chief: Kiryakova, Virginia

IMPACT FACTOR increased in 2015: 2.246
Rank 10 out of 312 in category Mathematics, 9 out of 254 in Applied Mathematics and 15 out of 101 in Mathematics, Interdisciplinary Applications in the 2015 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR) 2015: 1.602
Source Normalized Impact per Paper (SNIP) 2015: 1.404
Impact per Publication (IPP) 2015: 2.218

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    Aims and Scope

    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.

    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).The contents of the Back Volumes (Vol. 1, 1998 – Vol. 13, 2010) and the stuff published there are available online at Editor’s websites: , .

    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, .

    Since Vol. 18 (2015), the publisher and distributor of FCAA is Walter de Gruyter GmbH, Berlin / Boston, and the main website is .

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

    Aims and Scope

    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

    FCAA journal publishes articles in the following categories:
    • 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

    Past tables of contents of all FCAA volumes (Vol.1, 1998 – Vol. 14, 2014): can be downloaded by clicking the "Tables of Contents - 1998-014" link located under Supplemenary Information.

    Editor-In-Chief: Prof. Dr.Sc. Virginia Kiryakova
    e-mail: (

    Institute of Mathematics and Informatics - Bulgarian Academy of Sciences,
    "Acad. G. Bontchev" Str., Block 8, Sofia 1113 – Bulgaria, Fax: 00359-2-947 8608

    Editor’s websites for FCAA: ,
    (access to back volumes and regularly updated journal’s details as:
    current Contents, Instructions for Authors, Authors Kit, Editorial Board, News, etc.)


    Submission of Manuscripts

    Instructions for Authors

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

    FCAA manuscripts must be submitted in LaTeX and in English.

    Although at the initial stage of submitting a pdf-file is enough for consideration and reviewing, the authors should be ready to provide ASAP upon acceptance, finally revised versions of the LaTeX source and the figures’ files (if any), together with the final pdf-file and the Transfer of Copyright Agreement (TCA form). The Instructions for Authors and FCAA format should be followed strictly, and it is expected almost camera-ready prepared manuscript.

    Editorial Policy
    • Peer-reviewing: At least two anonymous reviewers are appointed from the list of Editorial Board and invited external experts. The authors could suggest some possible reviewers among the close experts on the topic, but these could not be taken in mind by Editors.
    • We are aiming to ensure the best possible diversity of publications’ subjects, of authors’ names and of their geographical distribution, and to promote international collaboration.
    • To avoid some bad publishing practices, please limit multiple co-authorship. In case of more than 2-3 co-authors, they may be asked to describe and acknowledge their personal contributions to the paper. In case of technical help only, it can be acknowledged at the end of paper.
    • Authors are kindly asked to avoid frequent submissions to FCAA, at least until a previous submission is still in procedure, or just recently published.
    • Submissions will be considered only if typeset in LaTeX format, with extreme care, and allowing to generate internal and reference linking. The authors contribute in this process by making all the references complete, correct and properly structured.
    • Submitting a manuscript to FCAA indicates by default a tacit understanding that this paper is authors’ original work, and is not published or under consideration in other journals. In case of existing preliminary copy at, from the moment of acceptance of a paper, it should be referred to as in FCAA only.
    • Once the paper is accepted, the corresponding author should fill in and sign the TCA form and send it by e-mail (scanned copy) or by fax to the Editor-in-Chief.
    • The accepted papers, in their final proof-read version, are published since 2015 online at De Gryuter’s website, sometimes in advance by Ahead of Print service. Once a manuscript appears online at the website, it is considered as published.
    • All authors are responsible for the manuscript’s contents and agree in advance to authorize a corresponding author to act on their behalf. He/she is responsible to inform the co-authors on the manuscript status, to check the proofreading and to share with the co-authors the received soft Author’s Copy.
    • After the online publication, the corresponding author is notified by e-mail and receives Author’s Copy of the paper (pdf-file), for authors’ noncommercial use only. Please do not expose in this form at public internet places. Instead, an author-created version of the article can be available, but journal’s attributes must be indicated.
    • The authors are obliged to refer to their papers with exact and full journal’s name and attributes, as published in: “Fract. Calc. Appl. Anal.” Vol/ No/ Year/ pp., DOI: ……….. , so to be correctly identified in the world databases.

    The following resources are to assist the authors in preparing manuscripts in a proper FCAA format, and reviewers. They can be found under "Supplementary Information" to the right:

    FCAA-Instructions for Authors

    Authors Kit (folder with all necessary auxiliary and sample files)

    Transfer of Copyright Agreement:  FCAA-TCA-copyright.doc, FCAA-TCA-copyright.pdf 

    Form for Reviewers:FCAA-Review-Form.docFCAA-Review-Form.pdf

    More ...

    Abstracting & Indexing

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

    • Baidu Scholar
    • Celdes
    • CNKI Scholar (China National Knowledge Infrastructure)
    • CNPIEC
    • EBSCO Discovery Service
    • Elsevier - SCOPUS
    • Gale/Cengage
    • Google Scholar
    • J-Gate
    • JournalTOCs
    • Mathematical Reviews (MathSciNet)
    • Naviga (Softweco)
    • Primo Central (ExLibris)
    • ProQuest (relevant databases)
    • ReadCube
    • ResearchGate
    • SCImago (SJR)
    • Summon (Serials Solutions/ProQuest)
    • TDOne (TDNet)
    • Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences
    • Thomson Reuters - Journal Citation Reports/Science Edition
    • Thomson Reuters - Science Citation Index Expanded
    • Ulrich's Periodicals Directory/ulrichsweb
    • WorldCat (OCLC)
    • Zentralblatt Math (zbMATH)

    Editorial Information

    Virginia Kiryakova
    Institute of Mathematics and Informatics – Bulgarian Academy of Sciences, Bulgaria

    Honorary Founding Editors:

    Anatoly A. Kilbas† (Belarus)
    Eric R. Love† (Australia)
    Danuta Przeworska-Rolewicz† (Poland),
    Gary F. Roach† (UK)
    Ian N. Sneddon† (UK)

    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)
    Rudolf Gorenflo (Inst. Math., Free Univ. Berlin, Germany)
    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)
    Bogoljub Stankovic (Dept. Math. Inform., Univ. of Novi Sad, Serbia)

    Associate Editors:

    Kai Diethelm (Inst. Comput. Math., Technische Univ. Braunschweig, Germany)
    Yuri Luchko (Dept. Math. Phys. Chem., Beuth Techn. 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:

    Boris Baeumer (Dept. Math. Stat., Univ. of Otago, New Zealand)
    Dumitru Baleanu (Dept. Math. Comput. Sci., Cankaya Univ., Ankara, Turkey)
    Emilia Bazhlekova (Inst. Mathematics and Informatics – Bulg. Acad. Sci., Bulgaria)
    Lyubomir Boyadjiev (Dept. Math., Fac. Sci., Kuwait Univ., Kuwait)
    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)
    Anatoly Kochubei (Inst. Math., Nat. Acad. Sci. of Ukraine, Kiev, Ukraine)
    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)
    Stepan Tersian (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 (Kabardino-Balkarian State Univ., 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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