Fractional calculus
A Subclass of Uniformly Convex Functions Associated with Certain Fractional Calculus Operator
... a certain fractional calculus operator. The class has interesting subclasses like β-uniformly starlike, β- uniformly convex and β-uniformly pre-starlike func- tions. Properties like coefficient estimates, ...
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Eigenfunctions and Fundamental Solutions of the Fractional Laplace and Dirac Operators: The Riemann-Liouville Case
... in fractional calculus increased ...of fractional derivatives like, for example, in optics and quantum mechanics, and on the other hand fractional calculus gives us a new degree of ...
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A Signal Processing View of Differintegration
... of fractional differential equations [6,9,13] and a first approach into the formulation of the fractional linear system theory ...through Fractional Calculus and some questions are placed and ...
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A spectral method based on the second kind Chebyshev polynomials for solving a class of fractional optimal control problems
... the fractional optimal control problems ...the fractional calculus and properties of the shifted SKCPs are given and then operational matrix of fractional integration is ...the ...
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LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITHIN LOCAL FRACTIONAL OPERATORS
... local fractional calculus is one of useful tools to process the fractal and continuously non differentiable functions (Kolwankar and Gangal, 1998; He, 2011; He et ...local fractional Fokker- Planck ...
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Interaction of Fractional Order Theories in Micropolar Thermoelastic Solid due to Ramp Type Heating
... years, Fractional calculus is being used to develop several interesting modals to study the physical processes particularly in the field of heat conduction, diffusion, viscoelasticity and mechanics of ...
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He’s fractional derivative for heat conduction in a fractal medium arising in silkworm cocoon hierarchy
... The fractal model for heat transfer in hierarchic porous cocoons has been proposed for the first time based on the local fractional calculus theory. Moreover, the nanoeffect of this model for heat transfer ...
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Existence the Solution for Fractional order Nonlinear Functional Integro-Differential Equation in Banach Space
... Fractional Calculus is the field of Mathematical Analysis which deals with the investigation and applications of integrals and derivatives of arbitrary ...of fractional calculus can be ...
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Application of Fractional Order Legendre Polynomials: a New Procedure for Solution of Linear and Nonlinear Fractional Differential Equations under $m$-point Nonlocal Boundary Conditions
... that fractional order differential equations provide more accurate results as compare to integer order differential ...equations. Fractional calculus is generalization of integer order integration ...
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Rev. Bras. Ensino Fís. vol.33 número4
... of fractional calculus dates back to the birth of the theory of differential calculus, but its in- herent complexity delayed the application of its associ- ated ...fact, fractional ...
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Fractional integrals and derivatives: mapping properties
... MSC 2010 : Primary 26A33; Secondary 46E30 Key Words and Phrases: mapping properties, fractional integral, Riesz potential, hypersingular integrals, fractional derivatives, Lebesgue space[r] ...
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On a 3D-hypersingular equation of a problem for a crack
... In the case of the circle, the method of solution of equation (2.6) is known in the closed form, see [6] or [7], Section 27. It is based on the fact that the potential operator over a ball may be factorized. Namely, it ...
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Ulam stability for fractional differential equations in the sense of Caputo operator
... different fractional operators appeared during the past three decades such as Riemann- Liouville operators, Erdélyi-Kober operators, Weyl-Riesz operators and Grünwald-Letnikov operators (Podlubny, ...
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A Type System for Required/Excluded Elements in CLS
... The calculus of looping sequences is a formalism for describing the evolution of biological systems by means of term rewriting ...this calculus with a type discipline to guarantee the soundness of reduction ...
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Positive solutions of a singular fractional boundary value problem with a fractional boundary condition
... of fractional boundary value problems has seen a tremendous expansion in recent years motivated by both general theory and physical representations and ...to fractional boundary value problems [1, 6, ...
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Symmetric semi-classical orthogonal polynomials of class one on q-quadratic lattices
... function or the orthogonality measure. We take the difference equation sat- isfied by the Stieltjes functions, say ADS = CMS + D, where A, C, D are polynomials, subject to restrictions deg(A) ≤ 3, deg(C) ≤ 2. According ...
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2 Fractional delaylead of discrete-time signals
... Fractal signals are introduced as output of special linear systems: fractional differaccumulators, systems that can be considered as having fractional poles or zeros.. [r] ...
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Câmpus Sapucaia do Sul | Engenharia Mecânica (358 Downloads)
... CURSO SUPERIOR DE ENGENHARIA MECÂNICA MECHANICAL ENGINEERING.. SF2B1 Calculus I[r] ...
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PROOFTOOL: a GUI for the GAPT Framework
... sequent calculus proofs, but such control, while unimportant for the general task of formalizing proofs, can be important when experimenting with proofs in the sense of structural ...
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Comput. Appl. Math. vol.23 número1
... of fractional order with constant coefficients and fractional derivatives in the Caputo ...operational calculus to the analytical solution of the problem given in terms of the Mittag-Leffer type ...
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