Suchergebnisse - Fractional iteration algorithm-I
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An iteration algorithm for the time-independent fractional Schrödinger equation with Coulomb potential
ISSN: 0304-4289, 0973-7111Veröffentlicht: New Delhi Springer India 01.12.2020Veröffentlicht in Pramāṇa (01.12.2020)“… A numerical formula is derived which gives solutions of the fractional Schrödinger equation in time-independent form in the case of Coulomb potential using Riemann …”
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New Perturbation–Iteration Algorithm for Nonlinear Heat Transfer of Fractional Order
ISSN: 2504-3110, 2504-3110Veröffentlicht: Basel MDPI AG 01.06.2024Veröffentlicht in Fractal and fractional (01.06.2024)“… A new perturbation iteration algorithm (PIA) of the fractional order is applied to solve the nonlinear heat equations …”
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A new analyzing technique for nonlinear time fractional Cauchy reaction-diffusion model equations
ISSN: 2211-3797, 2211-3797Veröffentlicht: Elsevier B.V 01.12.2020Veröffentlicht in Results in physics (01.12.2020)“… This work aims to propose a new analyzing tool, called the fractional iteration algorithm I for finding numerical solutions of nonlinear time fractional-order Cauchy reaction-diffusion model equations …”
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Local fractional variational iteration algorithm II for non-homogeneous model associated with the non-differentiable heat flow
ISSN: 1687-8132, 1687-8140Veröffentlicht: London, England SAGE Publications 01.10.2015Veröffentlicht in Advances in mechanical engineering (01.10.2015)“… s in fractal media point view. We employ the local fractional variational iteration algorithm II to solve the fractal heat equations …”
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Forecasting the behaviour of fractional Black-Scholes option pricing equation by laplace perturbation iteration algorithm
ISSN: 1110-0168Veröffentlicht: Elsevier B.V 01.01.2023Veröffentlicht in Alexandria engineering journal (01.01.2023)“… In the current work, a method called the Laplace Perturbation Iteration Algorithm is being applied on Fractional Black …”
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Local fractional variational iteration algorithm iii for the diffusion model associated with non-differentiable heat transfer
ISSN: 0354-9836, 2334-7163Veröffentlicht: Belgrade Society of Thermal Engineers of Serbia 2016Veröffentlicht in Thermal science (2016)“… This paper addresses a new application of the local fractional variational iteration algorithm III to solve the local fractional diffusion equation defined …”
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On the comparison of perturbation-iteration algorithm and residual power series method to solve fractional Zakharov-Kuznetsov equation
ISSN: 2211-3797, 2211-3797Veröffentlicht: Elsevier B.V 01.06.2018Veröffentlicht in Results in physics (01.06.2018)“… Basic definitions of fractional derivatives are described in the Caputo sense. Perturbation-iteration algorithm (PIA …”
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Coupling RBF-based meshless method and Landweber iteration algorithm for approximating a space-dependent source term in a time fractional diffusion equation
ISSN: 0377-0427, 1879-1778Veröffentlicht: Elsevier B.V 01.01.2023Veröffentlicht in Journal of computational and applied mathematics (01.01.2023)“… Also, in order to construct the Landweber iteration algorithm, an explicit formula for the gradient of the cost functional J is given via the solution of an adjoint problem …”
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Data-Driven Point-to-Point Finite-Iteration Learning Control for a Class of Nonlinear Systems With Output Saturation
ISSN: 2168-2267, 2168-2275, 2168-2275Veröffentlicht: United States IEEE 01.11.2025Veröffentlicht in IEEE transactions on cybernetics (01.11.2025)“… Second, a finite finite-iteration learning algorithm based on the fractional power of error information is designed, and the finite-iteration convergence of the proposed algorithm is rigorously proven in theory. Finally, the effectiveness of the proposed method is validated by simulation results …”
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The local fractional iteration solution for the diffusion problem in fractal media
ISSN: 0354-9836, 2334-7163Veröffentlicht: Belgrade Society of Thermal Engineers of Serbia 2016Veröffentlicht in Thermal science (2016)“… In this paper, we address the coupling method for the local fractional variational iteration algorithm III and local fractional Laplace transform for the first time, which is called as the local …”
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Adaptive fractional-order total variation image restoration with split Bregman iteration
ISSN: 0019-0578, 1879-2022, 1879-2022Veröffentlicht: United States Elsevier Ltd 01.11.2018Veröffentlicht in ISA transactions (01.11.2018)“… regularization process. An adaptive fractional-order total variation l1 regularization (AFOTV-l1) model is proposed, which is resolved by using split Bregman iteration algorithm …”
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A short remark on fractional variational iteration method
ISSN: 0375-9601, 1873-2429Veröffentlicht: Elsevier B.V 05.09.2011Veröffentlicht in Physics letters. A (05.09.2011)“… The fractional complex transform is introduced to convert a fractional differential equation to its differential partner, so that its variational iteration algorithm can be simply constructed …”
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Optimal perturbation iteration method for solving fractional FitzHugh-Nagumo equation
ISSN: 0960-0779, 1873-2887Veröffentlicht: Elsevier Ltd 01.01.2021Veröffentlicht in Chaos, solitons and fractals (01.01.2021)“… •The optimal perturbation iteration algorithms have been adapted accordingly for solving the fractional model …”
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SIFME: A Single Iteration Fractional-Pel Motion Estimation Algorithm and Architecture for HDTV Sized H.264 Video Coding
ISBN: 9781424407279, 1424407273ISSN: 1520-6149Veröffentlicht: IEEE 01.04.2007Veröffentlicht in 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07 (01.04.2007)“… 264 fractional motion estimation. To solve the long computational latency in HD-sized application, we propose to use the single iteration algorithm with only six search points …”
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A universal modified LMS algorithm with iteration order hybrid switching
ISSN: 0019-0578, 1879-2022, 1879-2022Veröffentlicht: United States Elsevier Ltd 01.03.2017Veröffentlicht in ISA transactions (01.03.2017)“… This paper presents a fractional order modified least square algorithm(FOMLMS), which involves an iteration order switch strategy …”
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Comparison of the Probabilistic Ant Colony Optimization Algorithm and Some Iteration Method in Application for Solving the Inverse Problem on Model With the Caputo Type Fractional Derivative
ISSN: 1099-4300, 1099-4300Veröffentlicht: MDPI 15.05.2020Veröffentlicht in Entropy (Basel, Switzerland) (15.05.2020)“… This paper presents the algorithms for solving the inverse problems on models with the fractional derivative …”
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New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations
ISSN: 1076-2787, 1099-0526Veröffentlicht: Cairo, Egypt Hindawi Publishing Corporation 2020Veröffentlicht in Complexity (New York, N.Y.) (2020)“… This work aims to present a novel approach termed as fractional iteration algorithm-I for finding the numerical solution of nonlinear noninteger order partial differential equations …”
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Newton’s method with fractional derivatives and various iteration processes via visual analysis
ISSN: 1017-1398, 1572-9265Veröffentlicht: New York Springer US 01.03.2021Veröffentlicht in Numerical algorithms (01.03.2021)“… The aim of this paper is to visually investigate the dynamics and stability of the process in which the classic derivative is replaced by the fractional Riemann …”
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Comment on "Variational Iteration Method for Fractional Calculus Using He's Polynomials
ISSN: 1085-3375, 1687-0409Veröffentlicht: New York Hindawi Limiteds 01.01.2012Veröffentlicht in Abstract and Applied Analysis (01.01.2012)“… This note concludes that the method is a modified variational iteration method using He’s polynomials. A standard variational iteration algorithm for fractional differential equations is suggested …”
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Variational iteration method for the time-fractional Fornberg–Whitham equation
ISSN: 0898-1221, 1873-7668Veröffentlicht: Elsevier Ltd 01.05.2012Veröffentlicht in Computers & mathematics with applications (1987) (01.05.2012)“… –Whitham equation with fractional time derivative. By using initial values, explicit solutions of the equations are solved by using a reliable algorithm like the variational iteration method …”
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