搜索结果: 1-9 共查到“理学 Fractional Calculus”相关记录9条 . 查询时间(0.091 秒)
Applications of local fractional calculus to engineering in fractal time-space: Local fractional differential equations with local fractional derivative
local fractional calculus fractal time-space local fractional derivative local fractional differential equation
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2011/7/26
Abstract: This paper presents a better approach to model an engineering problem in fractal-time space based on local fractional calculus. Some examples are given to elucidate to establish governing eq...
Fractional Trigonometric Functions in Complex-valued Space: Applications of Complex Number to Local Fractional Calculus of Complex Function
Fractional trigonometric function complex function local fractional calculus fractal space
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2011/7/26
Abstract: This paper presents the fractional trigonometric functions in complex-valued space and proposes a short outline of local fractional calculus of complex function in fractal spaces.
Applications of fractional calculus
fractional derivative fractional Integral differintegrals
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2010/9/21
Different definitions of fractional derivatives and fractional Integrals (Differintegrals) are considered. By means of them explicit formula and graphs of some special functions are derived. Also we r...
Composition Functionals in Fractional Calculus of Variations
Fractional calculus of variations Composition of functionals Fractional Euler–Lagrange equations
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2010/12/6
We prove Euler–Lagrange and natural boundary necessary optimality conditions for fractional problems of the calculus of variations which are given by a composition of functionals. Our approach uses th...
Combined Delta-Nabla Sum Operator in Discrete Fractional Calculus
Discrete fractional calculus Delta and nabla operators Convex linear combination
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2010/12/9
We introduce a more general discrete fractional operator, given by convex linear combination of the delta and nabla fractional sums. Fundamental properties of the new fractional operator are proved. A...
Some Results Associated With Fractional Calculus Operators Involving Appell Hypergeometric Function
Analytic functions Hardy space Fractional derivatives and fractional integrals Appell hypergeometric function Inclusion relation
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2010/1/22
A class of fractional derivative operators (with the Appell hypergeometric function in the kernel) is used here to define a new subclass of analytic functions and a coefficient bound inequality is est...
A Subclass of Uniformly Convex Functions Associated with Certain Fractional Calculus Operators
Univalent Convex Starlike Uniformly convex Fractional calculus integral operator
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2008/7/3
In this paper, we introduce a new class of functions which are analytic and univalent with negative coefficients defined by using a certain fractional calculus and fractional calculus integral operato...
Inequalities Defining Certain Subclasses of Analytic and Multivalent Functions Involving Fractional Calculus Operators
Analytic functions Multivalent functions Starlike functions Convex functions Fractional calculus operators
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2008/7/1
Inequalities Defining Certain Subclasses of Analytic and Multivalent Functions Involving Fractional Calculus Operators.
SOME APPLICATIONS OF FRACTIONAL CALCULUS OPERATORS TO A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS
FRACTIONAL CALCULUS OPERATORS ANALYTIC FUNCTIONS NEGATIVE COEFFICIENTS
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2010/3/17
The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the class Tn\left(l,a\right) consisting of analytic and univalent functions with neg...