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Virginia Kiryakova

    Virginia Kiryakova

    Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Faculty Member
    Papers
    Recent history of fractional calculusmore
    by Virginia Kiryakova
    This survey intends to report some of the major documents and events in the area of fractional calculus that took place since 1974 up to the present date.
    Publication Date: 2011
    Publication Name: Commun Nonlinear Sci Numer Si
    Research Interests:
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    Single term approximations of hypergeometric functionsmore
    by Virginia Kiryakova and Shyam Kalla
    Solution of dual integral equations by fractional calculusmore
    by Virginia Kiryakova and Shyam Kalla
    ABSTRACT
    Research Interests:
    Round table discussion: “Physical and geometrical meanings and applications of fractional calculus operators”more
    by Virginia Kiryakova
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    The Multi-index Mittag-Leffler Functions and Their Applications for Solving Fractional Order Problems in Applied Analysismore
    by Virginia Kiryakova and Michail Todorov
    During the last few decades, differential equations and systems of fractional order (that is arbitrary one, not necessarily integer) begun to play an important role in modeling of various phenomena of physical, engineering,... more
    During the last few decades, differential equations and systems of fractional order (that is arbitrary one, not necessarily integer) begun to play an important role in modeling of various phenomena of physical, engineering, automatization, biological and biomedical, chemical, earth, economics, social relations, etc. nature. The so-called Special Functions of Fractional Calculus (SF of FC) provide an important tool of Fractional
    Publication Date: 2010
    Research Interests:
    Legendre-type Special Functions Defined by Fractional Order Rodrigues Formulamore
    by Virginia Kiryakova
    Publication Date: 2010
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    Convolution and commutant of Gelfond-Leontiev operator of integrationmore
    by Virginia Kiryakova
    Complex analysis and applications ’87. Papers from the conference, Varna, Bulgaria, May 10–16, 1987more
    by Virginia Kiryakova
    Transform methods and special functions. Proceedings of the 1st international workshop, Bankya, Bulgaria, August 12–17, 1994more
    by Virginia Kiryakova
    Complex inversion formulas for the Obrechkoff transformmore
    by Virginia Kiryakova
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    Fractional Calculus: Quo Vadimus? (Where are we Going?)more
    by Virginia Kiryakova
    Publication Date: 2015
    Publication Name: Fractional Calculus and Applied Analysis
    TMSF, AUBG’99. Part A. Proceedings of the 3rd international workshop on transform methods and special functions (TMSF), American University of Bulgaria (AUBG), Blagoevgrad, Bulgaria, August 13–20, 1999more
    by Virginia Kiryakova
    Publication Name: Fractional Calculus and Applied Analysis
    Research Interests:
    International congress of the Mathematical Society of SouthEastern Europe “MASSEE 2003”. Proceedings of the fourth international symposium on transform methods and special functions, TMSF, Borovets, Bulgaria, September 15–21, 2003more
    by Virginia Kiryakova
    Research Interests:
    TO PRESERVE UNIVALENCY OF ANALYTIC FUNCTIONSmore
    by Virginia Kiryakova
    DIFFERENTIAL OPERATORS1more
    by Virginia Kiryakova
    Different aspects of differentiabilitymore
    by Virginia Kiryakova
    Transformation Methods & Special Functions, Varna'96: Second International Workshop: Proceedingsmore
    by Virginia Kiryakova
    $ H $-Function Generalized Fractional Integration Operators in Subclasses of Univalent Functions: Some Distortion and Characterization Theorems (Study on Differential Operators and Integral Operators in Univalent Function Theory)more
    by Virginia Kiryakova
    Extensions of Mikusinskii's Operational Calculusmore
    by Virginia Kiryakova
    Bessel-Clifford third order differential operator and corresponding Laplace type integral transformmore
    by Virginia Kiryakova
    FOR HYPER-BESSEL DFFERENTIAL OPERATORSmore
    by Virginia Kiryakova
    ISSN 0205-3217 Mathematica Balkanica (NS) Vol. 26, 2012, Fasc. No 1-2 Proceedings of 6th International Conference “Transform Methods & Special Functions, 2011”more
    by Virginia Kiryakova
    A poster about the recent history of fractional calculusmore
    by Virginia Kiryakova
    Riemann-Liouville and Caputo type multiple Erdélyi-Kober operatorsmore
    by Virginia Kiryakova
    Publication Date: 2013
    Publication Name: Central European Journal of Physics
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    Discrete Operational Calculi for Two-sided Sequencesmore
    by Virginia Kiryakova
    Publication Date: 1993
    Publication Name: Applications of Fibonacci Numbers
    A Multi-Index Borel-Dzrbashjan Transformmore
    by Virginia Kiryakova
    Publication Date: 2002
    Publication Name: Rocky Mountain Journal of Mathematics
    Research Interests:
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    Further results on a family of generalized radiation integralsmore
    by Virginia Kiryakova
    In this paper we continue the investigation by Kalla et al. (1991) of the family of generalized radiation integrals defined by I[a, b, p, lambda, mu alpha, beta gamma]=sigmaalpha/4pi Sigma0bxlambda(x2+p)- alpha(1-x2/b2)mu2F1 (alpha, beta,... more
    In this paper we continue the investigation by Kalla et al. (1991) of the family of generalized radiation integrals defined by I[a, b, p, lambda, mu alpha, beta gamma]=sigmaalpha/4pi Sigma0bxlambda(x2+p)- alpha(1-x2/b2)mu2F1 (alpha, beta, gamma-a2/x2+p)dx, where Re(gamma) > Re(beta) > 0; -1 < lambda -1 mu > -1 p, a, b > 0; 0 < a <= b < ∞. Several
    Publication Date: 1994
    Publication Name: Radiation Physics and Chemistry
    Research Interests:
    The obrechkoff integral transform: properties and relation to a generalized fractional calculusmore
    by Virginia Kiryakova
    Publication Date: 2000
    Publication Name: Numerical Functional Analysis and Optimization
    Research Interests:
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    Representation of Generalized Fractional Integrals in Terms of Laplace Transforms on SpacesLpmore
    by Virginia Kiryakova
    ABSTRACT
    Publication Date: 1995
    Publication Name: Mathematische Nachrichten
    Research Interests:
    Transmutation Method for Solving Erdélyi–Kober Fractional Differintegral Equationsmore
    by Virginia Kiryakova
    Publication Date: 1997
    Publication Name: Journal of Mathematical Analysis and Applications
    Research Interests:
    Solutions of fractional multi-order integral and differential equations using a Poisson-type transformmore
    by Virginia Kiryakova, Ismail Ali, and Shyam Kalla
    Publication Date: 2002
    Publication Name: Journal of Mathematical Analysis and Applications
    Research Interests:
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    Some pioneers of the applications of fractional calculusmore
    by Virginia Kiryakova
    Publication Date: 2014
    Publication Name: Fractional Calculus and Applied Analysis
    Research Interests:
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    FCAA related events and 100th anniversary of the birth of Jan Mikusiński (FCAA-Volume 16-4-2013)more
    by Virginia Kiryakova and Edmund Robertson
    Publication Date: 2013
    Publication Name: Fractional Calculus and Applied Analysis
    Research Interests:
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    The mellin integral transform in fractional calculusmore
    by Virginia Kiryakova
    Publication Date: 2013
    Publication Name: Fractional Calculus and Applied Analysis
    Research Interests:
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    Explicit solutions to hyper-Bessel integral equations of second kindmore
    by Virginia Kiryakova
    Publication Date: 1999
    Publication Name: Computers & Mathematics with Applications
    Research Interests:
    Recent history of fractional calculusmore
    by Virginia Kiryakova
    Publication Date: 2011
    Publication Name: Communications in Nonlinear Science and Numerical Simulation
    Research Interests:
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    Explicit solutions of fractional integral and differential equations involving Erdélyi-Kober operatorsmore
    by Virginia Kiryakova
    Publication Date: 1998
    Publication Name: Applied Mathematics and Computation
    Research Interests:
    Complex analysis and applications' 87more
    by Virginia Kiryakova
    Publication Date: 1989
    Solutions of Erdelyi-Kober fractional integral, differential and differintegral equations of second kindmore
    by Virginia Kiryakova
    Publication Date: 1997
    Hankel type integral transforms connected with the hyper-Bessel differential operatorsmore
    by Virginia Kiryakova
    Publication Date: 2000
    Characterization theorems for starlike and convex functions in terms of generalized fractional calculusmore
    by Virginia Kiryakova
    Publication Date: 2005
    Distortion and characterization theorems for generalized fractional integration operators involving H-function in subclasses of univalent functionsmore
    by Virginia Kiryakova
    Publication Date: 2004
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    Generalized Hankel transforms for hyper-Bessel differential operatorsmore
    by Virginia Kiryakova
    Publication Date: 2000
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    On the Weyl fractional operator of two dimensionsmore
    by Virginia Kiryakova
    Publication Date: 1983
    A unified approach to certain fractional integration operatorsmore
    by Virginia Kiryakova
    Publication Date: 1994
    Criteria for generalized fractional integrals to preserve univalency of analytic functionsmore
    by Virginia Kiryakova
    Publication Date: 2005
    Complex inversion formulas for the Obrechko transformmore
    by Virginia Kiryakova
    Publication Date: 1981
    Convolution and differential property of the Borel-Dzrbashjan transformmore
    by Virginia Kiryakova
    Publication Date: 1981
    A generalized fractional calculus dealing with H-functionsmore
    by Virginia Kiryakova and Shyam Kalla
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    On the two-dimensional H-transforms in terms of Erdelyi-Kober operators, Mathmore
    by Virginia Kiryakova
    Publication Date: 1992

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