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Unified Approach to Fractional Calculus Images of Special Functions—A Survey
Evaluation of images of special functions under operators of fractional calculus has become a hot topic with hundreds of recently published papers. These are growing daily and we are able to comment here only on a few of them, including also some of the ...
Virginia Kiryakova
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Special functions and rod nonlinear theory
There are many physical models or theories in which some functions appear in natural and regular fashion, starting with polynomials and algebraic functions and progressing through the “elementary” transcendental ones, almost all already known to the ...
Giovanni Mingari Scarpello +1 more
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A Novel Computational Tool for the Fractional-Order Special Functions Arising from Modeling Scientific Phenomena via Abu-Shady-Kaabar Fractional Derivative. [PDF]
Recently, a generalized fractional derivative formulation, known as Abu-Shady–Kaabar fractional derivative, is studied in detail which produces satisfactory results that are consistent with conventional definitions of fractional derivative such as Caputo
Abu-Shady M, Kaabar MKA.
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A consideration of special functions on esthetic and utilitarian ...
McGuffin, Bruce F.
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Combinatorial t-designs from special functions
A special function is a function either of special form or with a special property. Special functions have interesting applications in coding theory and combinatorial t-designs.
Ding, Cunsheng, Tang, Chunming
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Specijalne funkcije su posebna vrsta funkcija u matematici koje su otkrivene ili definirane prilikom rješavanja određenih problema u matematici i fizici.
Škrobar, Dino
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Special Functions and Their Applications
David Dickinson +2 more
openaire +3 more sources
Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions. [PDF]
In this paper we prove the Hadamard and the Fejér–Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function.
Kang SM, Farid G, Nazeer W, Tariq B.
europepmc +2 more sources
Special Functions of Fractional Calculus in the Form of Convolution Series and Their Applications [PDF]
In this paper, we first discuss the convolution series that are generated by Sonine kernels from a class of functions continuous on a real positive semi-axis that have an integrable singularity of power function type at point zero.
Yuri Luchko
semanticscholar +1 more source
Determination of plutonium temperature using the special trans functions theory [PDF]
The problem of estimating plutonium temperature by an iterative procedure based on the special trans functions theory has been studied in some detail.
Perović Slavica M., Bauk Sanja I.
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