Operators of fractional integration and a generalised Hankel transforrn.
V. M. Bhise (1964)
Collectanea Mathematica
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Displaying similar documents to “Fractional Calculus of P-transforms”
Operators of fractional integration and a generalised Hankel transforrn.
A note on fractional Sumudu transform.
Gupta, V.G., Shrama, Bhavna, Kiliçman, Adem (2010)
Journal of Applied Mathematics
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α-Mellin Transform and One of Its Applications
Nikolova, Yanka (2012)
Mathematica Balkanica New Series
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MSC 2010: 35R11, 44A10, 44A20, 26A33, 33C45 We consider a generalization of the classical Mellin transformation, called α-Mellin transformation, with an arbitrary (fractional) parameter α > 0. Here we continue the presentation from the paper [5], where we have introduced the definition of the α-Mellin transform and some of its basic properties. Some examples of special cases are provided. Its operational properties as Theorem 1, Theorem 2 (Convolution theorem) and Theorem...
Laplace transform of Laplace hyperfunctions and its applications.
Stanković, Bogoljub (2001)
Novi Sad Journal of Mathematics
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On fractional integration.
R.K. Saxena, S.L. Bora (1971)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Analytical solution for the time-fractional telegraph equation.
Huang, F. (2009)
Journal of Applied Mathematics
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Generalized Fractional Calculus, Special Functions and Integral Transforms: What is the Relation? Обобщения на дробното смятане, специалните функции и интегралните трансформации: Каква е връзката?
Kiryakova, Virginia (2011)
Union of Bulgarian Mathematicians
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Виржиния С. Кирякова - В този обзор илюстрираме накратко наши приноси към обобщенията на дробното смятане (анализ) като теория на операторите за интегриране и диференциране от произволен (дробен) ред, на класическите специални функции и на интегралните трансформации от лапласов тип. Показано е, че тези три области на анализа са тясно свързани и взаимно индуцират своето възникване и по-нататъшно развитие. За конкретните твърдения, доказателства и примери, вж. Литературата. ...
A complex inversion theorem for a generalization of Laplace transform.
J. M. C. Joshi (1963)
Collectanea Mathematica
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Fractional integration and Meijer transform.
Krishna Ji Srivastava (1957)
Mathematische Zeitschrift
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A relation between Mellin transform and Weyl (fractional) integral of two variables
N. C. Jain (1970)
Annales Polonici Mathematici
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A real inversion formula for the Kratzel's generalized Laplace transform.
Jorge J. Betancor, Javier A. Barrios (1991)
Extracta Mathematicae
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On Fractional Helmholtz Equations
Samuel, M., Thomas, Anitha (2010)
Fractional Calculus and Applied Analysis
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MSC 2010: 26A33, 33E12, 33C60, 35R11 In this paper we derive an analytic solution for the fractional Helmholtz equation in terms of the Mittag-Leffler function. The solutions to the fractional Poisson and the Laplace equations of the same kind are obtained, again represented by means of the Mittag-Leffler function. In all three cases the solutions are represented also in terms of Fox's H-function.