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On Injectors of a Hartley Set of a Finite Group: 《Algebra Colloquium》2018年第4期671-680,共10页Nanying Yang N.T.Vorob'ev T.B.Vasilevich; Let G be a finite group andНbe a Hartley set of G.In this paper,we prove the existence and conjugacy ofН-injectors of G and describe the characterization of injectors via radicals.As applications,some known results ...; 关键词：Hartley SET INJECTOR h-radical H-FUNCTION

A NEW INTEGRAL TRANSFORM AND ITS APPLICATIONS: 《Acta Mathematica Scientia》2015年第6期1386-1400,共15页H.M.SRIVASTAVA 罗旻杰 R.K.RAINA; In the present paper, the authors introduce a new integral transform which yields a number of potentially useful （known or new） integral transfoms as its special cases. Many fundamental results about this new integr...; 关键词：Laplace transform Sumudu transform natural transform H-FUNCTION H- transform inversion formula Parseval-type relationship existence theorem Borel-Dzrbashjan transform Fubini＇s theorem Weierstrass＇s test Heaviside generalized function

GENERALIZED FRACTIONAL CALCULUS OF THE ALEPH-FUNCTION INVOLVING A GENERAL CLASS OF POLYNOMIALS: 《Acta Mathematica Scientia》2015年第5期1095-1110,共16页R.K.SAXENA D.KUMAR; NBHM Department of Atomic Energy,Government of India,Mumbai for the finanicai assistance under PDF sanction no.2/40(37)/2014/R&D-II/14131; The object of this article is to study and develop the generalized fractional calcu- lus operators given by Saigo and Maeda in 1996. We establish generalized fractional calculus formulas involving the product of R-fun...; 关键词：generalized fractional calculus operators a general class of polynomials R-function H-FUNCTION /-function generalized Wright hypergeometric function Mittag-Leffler function generalized Bessel-Maitland function

Exact Solutions and Their Asymptotic Behaviors for the Averaged Generalized Fractional Elastic Models被引量：2: 《Communications in Theoretical Physics》2014年第10期443-450,共8页李灿邓伟华沈晓芹; Supported by the Program for New Century Excellent Talents in University under Grant No.NCET-09-0438;the National Natural Science Foundation of China under Grant Nos.11271173 and 11101330;the Starting Research Fund from the Xi’an University of Technology under Grant No.108-211206;the Scientific Research Program Funded by Shaanxi Provincial Education Department under Grant No.2013JK0581; The generalized fractional elastic models govern the stochastic motion of several many-body systems,e.g., polymers, membranes, and growing interfaces. This paper focuses on the exact formulations and their asymptotic ...; 关键词：FOURIER TRANSFORM LAPLACE TRANSFORM Fox’s H-FUNCTION Green’s functions ASYMPTOTIC behaviors

Krätzel Function and Related Statistical Distributions: 《Communications in Mathematics and Statistics》2014年第3期413-429,共17页T.Princy; The Krätzel function has many applications in applied analysis,so this function is used as a base to create a density function which will be called the Krätzel density.This density is applicable in chemical physics,Ha...; 关键词：Laplace transform Krätzel function Mellin transform H-FUNCTION Krätzel density Pathway model

Solutions of Fractional Partial Differential Equations of Quantum Mechanics被引量：1: 《Advances in Applied Mathematics and Mechanics》2013年第5期639-651,共13页S.D.Purohit; The author thanks the referees for his/her suggestions,which improved the presentation of this paper.Also,the author thanks Professor S.L.Kalla for his valuable suggestions and criticisms.; The aimof this article is to investigate the solutions of generalized fractional partial differential equations involving Hilfer time fractional derivative and the space fractional generalized Laplace operators,occurr...; 关键词：Fractional Schrodinger equation Laplace transform Fourier transform Hilfer fractional derivative Fox’s H-function and Quantum mechanics

Wright Type Hypergeometric Function and Its Properties: 《Advances in Pure Mathematics》2013年第3期335-342,共8页Snehal B. Rao Jyotindra C. Prajapati Ajay K. Shukla; Let s and z be complex variables, Γ(s) be the Gamma function, and for any complex v be the generalized Pochhammer symbol. Wright Type Hypergeometric Function is defined (Virchenko et al. [1]), as: where which is a di...; 关键词：Euler TRANSFORM Fox H-FUNCTION WRIGHT TYPE HYPERGEOMETRIC FUNCTION Laplace TRANSFORM Mellin TRANSFORM Whittaker TRANSFORM WRIGHT HYPERGEOMETRIC FUNCTION

Fractional Cattaneo heat equation in a semi-infinite medium被引量：1: 《Chinese Physics B》2013年第1期338-343,共6页续焕英齐海涛蒋晓芸; Project supported by the National Natural Science Foundation of China (Grant Nos. 11102102, 11072134, and 91130017);the Natural Science Foundation of Shandong Province, China (Grant No. ZR2009AQ014);the Independent Innovation Foundation of Shandong University, China (Grant No. 2010ZRJQ002); To better describe the phenomenon of non-Fourier heat conduction, the fractional Cattaneo heat equation is introduced from the generalized Cattaneo model with two fractional derivatives of different orders. The anomal...; 关键词：Caputo fractional derivative non-Fourier heat conduction Cattaneo equation H-FUNCTION

Solution of Semi-Boundless Mixed Problem for Time-fractional Telegraph Equation: 《Acta Mathematicae Applicatae Sinica》2007年第4期611-618,共8页Shu-qin Zhang; In this paper, we study the semi-boundless mixed problem for time-fractional telegraph equation. We are able to use the integral transform method （the Fourier sin and cos transforms） to obtain the solution.; 关键词：Time-fractional telegraph equation the Fourier sin and cos transforms mittag-leffier function H-function

Stokes'first problem for a viscoelastic fluid with the generalized Oldroyd-B model被引量：9: 《Acta Mechanica Sinica》2007年第5期463-469,共7页Haitao Qi Mingyu Xu; The project supported by the National Natural Science Foundation of China(10272067);the Doctoral Program Foundation of the Education Ministry of China(20030422046);the Natural Science Foundation of Shandong Province,China(Y2006A 14);the Research Foundation of Shandong University at Weihai.; The flow near a wall suddenly set in motion for a viscoelastic fluid with the generalized Oldroyd-B model is studied. The fractional calculus approach is used in the constitutive relationship of fluid model. Exact ana...; 关键词：Generalized Oldroyd-B fluid Stokes＇ first problem Fractional calculus Exact solution Fox H-function

H-FUNCTION