Results 61 to 70 of about 12,310,207 (201)
On a Generalized Laguerre Operational Matrix of Fractional Integration [PDF]
Mathematical Problems in Engineering, 2013 A new operational matrix of fractional integration of arbitrary order for generalized Laguerre polynomials is derived. The fractional integration is described in the Riemann-Liouville sense. This operational matrix is applied together with generalized Laguerre tau method for solving general linear multiterm fractional differential equations (FDEs). The
Bhrawy, A. H. +3 more
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Spectral approximations to the fractional integral and derivative [PDF]
, 2012 In this paper, the spectral approximations are used to compute the fractional integral and the Caputo derivative. The effective recursive formulae based on the Legendre, Chebyshev and Jacobi polynomials are developed to approximate the fractional ...
Li, Changpin +5 more
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Mathematics, 2021 General fractional dynamics (GFDynamics) can be viewed as an interdisciplinary science, in which the nonlocal properties of linear and nonlinear dynamical systems are studied by using general fractional calculus, equations with general fractional ...
Vasily E. Tarasov
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On the hermite-hadamard type inequalıtıes for fractional integral operator [PDF]
, 2020 WOS:000571145500003In this paper, using a general class of fractional integral operators, we establish new fractional integral inequalities of Hermite-Hadamard type.
Sarıkaya, Mehmet Zeki +2 more
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Hermite-Hadamard type inequalities for the generalized k-fractional integral operators
Journal of Inequalities and Applications, 2017 We firstly give a modification of the known Hermite-Hadamard type inequalities for the generalized k-fractional integral operators of a function with respect to another function.
Erhan Set +2 more
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A new general integral transform for solving integral equations
Journal of Advanced Research, 2021 Introduction: Integral transforms are important to solve real problems. Appropriate choice of integral transforms helps to convert differential equations as well as integral equations into terms of an algebraic equation that can be solved easily.During ...
Hossein Jafari
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General fractional integral operators do not preserve periodicity
Examples and CounterexamplesIf a periodic real function is differentiable, its derivative is also periodic with the same period. The primitive of a periodic function is periodic if the mean value of the function, over a period, is zero.It is well known that the fractional integral ...
Hamza Al-Shdaifat +2 more
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Generalized fractional integration of k\-Bessel function
, 2016 In this present paper our aim is to deal with two integral transforms which involving the Gauss hypergeometric function as its kernels. We prove some compositions formulas for such a generalized fractional integrals with k Bessel function. The results are established in terms of generalized Wright type hypergeometric function and generalized ...
Rahman, G. +3 more
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TESTING FOR GENERAL FRACTIONAL INTEGRATION IN THE TIME DOMAIN [PDF]
Econometric Theory, 2009 We propose a family of least-squares–based testing procedures that look to detect general forms of fractional integration at the long-run and/or the cyclical component of a time series, and that are asymptotically equivalent to Lagrange multiplier tests.
Hassler, Uwe +2 more
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Optimal control of fractional systems: a diffusive formulation [PDF]
, 2010 Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis
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