Fractional derivatives
On the relation between the fractional Brownian motion and the fractional derivatives
... of fractional Brownian motion are considered from the point of view of a set of coherent fractional derivative ...of fractional derivatives are considered: (a) the forward and backward and (b) ...
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Fractional derivatives: The perspective of system theory
... Abstract: This paper addresses the present day problem of multiple proposals for operators under the umbrella of “fractional derivatives”. Several papers demonstrated that various of those “novel” ...
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Hyers-Ulam Stability of a Class Fractional Boundary Value Problems with Right and Left Fractional Derivatives
... equation. Fractional differential equations with right and left fractional derivatives arose naturally as the Euler-Lagrange equation in fractional derivative variational principles, and are ...
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MASTER THESIS ON THE USE OF FRACTIONAL DERIVATIVES FOR MODELING NONLINEAR VISCOELASTICITY
... on fractional derivatives. This formulation produces fractional constitutive equations that result in good curve-fitting properties with less parameters to be iden- tified when compared to ...
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Mixed norm spaces of analytic functions as spaces of generalized fractional derivatives of functions in hardy type spaces
... RESEARCH PAPER MIXED NORM SPACES OF ANALYTIC FUNCTIONS AS SPACES OF GENERALIZED FRACTIONAL DERIVATIVES OF FUNCTIONS IN HARDY TYPE SPACES Alexey Karapetyants 1 , Stefan Samko.. Dedicated [r] ...
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Fractional diffusion models and option pricing in jump models
... of fractional calculus is widely inconsistent when it comes to a proper ...define fractional derivatives and ...Weyl fractional derivatives (see [19] for ...
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Modified fractional Euler method for solving Fuzzy sequential Fractional Initial Value Problem under H-differentiability
... sequential Fractional Initial Value Problem [FFIVP] under Caputo type fuzzy frac- tional derivatives by a modified fractional Euler method is ...fuzzy fractional derivatives are defined ...
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Existence the Solution for Fractional order Nonlinear Functional Integro-Differential Equation in Banach Space
... and derivatives of arbitrary order. The concept of fractional calculus can be considered as a generalization of ordinary differentiation and integration to arbitrary ...ordinary derivatives could be ...
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Braz. J. Phys. vol.39 número2A
... initial condition. Following, we incorporate a time depen- dence on the diffusion which may be related to time fractional derivatives. For this case, we also work out in the Laplace space - as general as ...
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Truncated V -fractional Taylor’s Formula with Applications
... local fractional derivative that has the classical properties of the integer order calculus, has acquired relevance in the scientific ...local fractional derivatives: conformable fractional, ...
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LOCAL FRACTIONAL VARIATIONAL ITERATION METHOD FOR SOLVING VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITHIN LOCAL FRACTIONAL OPERATORS
... In this study the Volterra integro-differential equations within the local fractional differential operator had been analyzed using the local fractional variational iteration method. The non-differentiable ...
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First and second fundamental solutions of the time-fractional telegraph equation of order 2α
... In this work we obtain the first and second fundamental solutions of the multidimensional time-fractional equation of order 2α, α ∈]0, 1], where the two time-fractional derivatives are in the Caputo ...
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Eigenfunctions and fundamental solutions of the fractional Laplace and Dirac operators using Caputo derivatives
... left derivatives, ...for fractional Caputo derivatives, but anyhow there are different techniques to handle sequential fractional derivatives (see for example ...
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Remarks for one-dimensional fractional equations
... Abstract. In this paper we study a class of one-dimensional Dirichlet boundary value prob- lems involving the Caputo fractional derivatives. The existence of infinitely many solutions for this equations is ...
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Numerical Investigations on Hybrid Fuzzy Fractional Differential Equations by Improved Fractional Euler Method
... fuzzy fractional differential equations (HFFDE) of order q ∈ (0, 1) under Caputo-type fuzzy fractional ...the fractional Euler method and generalized Taylor’s ...
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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 freedom ...
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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 solids ...of ...
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Comput. Appl. Math. vol.23 número1
... In [12] Luchko and Diethelm discussed a new algorithm for the numerical solution of initial value problems for general linear multi-term differential equa- tions of fractional order with constant coefficients and ...
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TEMA (São Carlos) vol.18 número2
... with fractional derivatives. However, not all cases of fractional derivatives in time were ...the derivatives being of integer order: the second order derivative in space was fixed and ...
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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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