Suchergebnisse - Fractional iteration algorithm-I

  1. 1

    An iteration algorithm for the time-independent fractional Schrödinger equation with Coulomb potential von Al-Raeei, Marwan, El-Daher, Moustafa Sayem

    ISSN: 0304-4289, 0973-7111
    Veröffentlicht: New Delhi Springer India 01.12.2020
    Veröffentlicht 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 …”
    Volltext
    Journal Article
  2. 2

    New Perturbation–Iteration Algorithm for Nonlinear Heat Transfer of Fractional Order von Abdel Aal, Mohammad

    ISSN: 2504-3110, 2504-3110
    Veröffentlicht: Basel MDPI AG 01.06.2024
    Veröffentlicht 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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    Journal Article
  3. 3

    A new analyzing technique for nonlinear time fractional Cauchy reaction-diffusion model equations von Ahmad, Hijaz, Khan, Tufail A., Ahmad, Imtiaz, Stanimirović, Predrag S., Chu, Yu-Ming

    ISSN: 2211-3797, 2211-3797
    Veröffentlicht: Elsevier B.V 01.12.2020
    Veröffentlicht 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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    Journal Article
  4. 4

    Local fractional variational iteration algorithm II for non-homogeneous model associated with the non-differentiable heat flow von Zhang, Yu, Srivastava, Hari M, Baleanu, Mihaela-Cristina

    ISSN: 1687-8132, 1687-8140
    Veröffentlicht: London, England SAGE Publications 01.10.2015
    Veröffentlicht 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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    Journal Article
  5. 5

    Forecasting the behaviour of fractional Black-Scholes option pricing equation by laplace perturbation iteration algorithm von Khan, Fareeha Sami, Sultana, Mariam, Khalid, Muhammad, Zaidi, Faheem, Nonlaopon, Kamsing

    ISSN: 1110-0168
    Veröffentlicht: Elsevier B.V 01.01.2023
    Veröffentlicht 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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    Journal Article
  6. 6

    Local fractional variational iteration algorithm iii for the diffusion model associated with non-differentiable heat transfer von Meng, Zhi-Jun, Zhou, Yao-Ming, Wang, Huan-Qing

    ISSN: 0354-9836, 2334-7163
    Veröffentlicht: Belgrade Society of Thermal Engineers of Serbia 2016
    Veröffentlicht 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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    Journal Article
  7. 7

    On the comparison of perturbation-iteration algorithm and residual power series method to solve fractional Zakharov-Kuznetsov equation von Şenol, Mehmet, Alquran, Marwan, Kasmaei, Hamed Daei

    ISSN: 2211-3797, 2211-3797
    Veröffentlicht: Elsevier B.V 01.06.2018
    Veröffentlicht 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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    Journal Article
  8. 8

    Coupling RBF-based meshless method and Landweber iteration algorithm for approximating a space-dependent source term in a time fractional diffusion equation von Salehi Shayegan, Amir Hossein

    ISSN: 0377-0427, 1879-1778
    Veröffentlicht: Elsevier B.V 01.01.2023
    Veröffentlicht 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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    Journal Article
  9. 9

    Data-Driven Point-to-Point Finite-Iteration Learning Control for a Class of Nonlinear Systems With Output Saturation von Bu, Xuhui, Yang, Chaohua, Lv, Lingling, Liang, Jiaqi, Hou, Zhongsheng

    ISSN: 2168-2267, 2168-2275, 2168-2275
    Veröffentlicht: United States IEEE 01.11.2025
    Veröffentlicht 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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    Journal Article
  10. 10

    The local fractional iteration solution for the diffusion problem in fractal media von Hao, Ya-Juan, Yang, Ai-Min

    ISSN: 0354-9836, 2334-7163
    Veröffentlicht: Belgrade Society of Thermal Engineers of Serbia 2016
    Veröffentlicht 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 …”
    Volltext
    Journal Article
  11. 11

    Adaptive fractional-order total variation image restoration with split Bregman iteration von Li, Dazi, Tian, Xiangyi, Jin, Qibing, Hirasawa, Kotaro

    ISSN: 0019-0578, 1879-2022, 1879-2022
    Veröffentlicht: United States Elsevier Ltd 01.11.2018
    Veröffentlicht 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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    Journal Article
  12. 12

    A short remark on fractional variational iteration method von He, Ji-Huan

    ISSN: 0375-9601, 1873-2429
    Veröffentlicht: Elsevier B.V 05.09.2011
    Veröffentlicht 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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    Journal Article
  13. 13

    Optimal perturbation iteration method for solving fractional FitzHugh-Nagumo equation von Deniz, Sinan

    ISSN: 0960-0779, 1873-2887
    Veröffentlicht: Elsevier Ltd 01.01.2021
    Veröffentlicht 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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    Journal Article
  14. 14

    SIFME: A Single Iteration Fractional-Pel Motion Estimation Algorithm and Architecture for HDTV Sized H.264 Video Coding von Tzu-Yun Kuo, Yu-Kun Lin, Tian-Sheuan Chang

    ISBN: 9781424407279, 1424407273
    ISSN: 1520-6149
    Veröffentlicht: IEEE 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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    Tagungsbericht
  15. 15

    A universal modified LMS algorithm with iteration order hybrid switching von Cheng, Songsong, Wei, Yiheng, Chen, Yuquan, Liang, Shu, Wang, Yong

    ISSN: 0019-0578, 1879-2022, 1879-2022
    Veröffentlicht: United States Elsevier Ltd 01.03.2017
    Veröffentlicht in ISA transactions (01.03.2017)
    “… This paper presents a fractional order modified least square algorithm(FOMLMS), which involves an iteration order switch strategy …”
    Volltext
    Journal Article
  16. 16

    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 von Brociek, Rafał, Chmielowska, Agata, Słota, Damian

    ISSN: 1099-4300, 1099-4300
    Veröffentlicht: MDPI 15.05.2020
    Veröffentlicht 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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    Journal Article
  17. 17

    New Perspective on the Conventional Solutions of the Nonlinear Time-Fractional Partial Differential Equations von Stanimirović, Predrag S., Khan, Tufail A., Akgül, Ali, Ahmad, Hijaz, Chu, Yu-Ming

    ISSN: 1076-2787, 1099-0526
    Veröffentlicht: Cairo, Egypt Hindawi Publishing Corporation 2020
    Veröffentlicht 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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    Journal Article
  18. 18

    Newton’s method with fractional derivatives and various iteration processes via visual analysis von Gdawiec, Krzysztof, Kotarski, Wiesław, Lisowska, Agnieszka

    ISSN: 1017-1398, 1572-9265
    Veröffentlicht: New York Springer US 01.03.2021
    Veröffentlicht 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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    Journal Article
  19. 19

    Comment on "Variational Iteration Method for Fractional Calculus Using He's Polynomials von He, Ji-Huan

    ISSN: 1085-3375, 1687-0409
    Veröffentlicht: New York Hindawi Limiteds 01.01.2012
    Veröffentlicht 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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    Journal Article
  20. 20

    Variational iteration method for the time-fractional Fornberg–Whitham equation von Sakar, Mehmet Giyas, Erdogan, Fevzi, Yıldırım, Ahmet

    ISSN: 0898-1221, 1873-7668
    Veröffentlicht: Elsevier Ltd 01.05.2012
    Veröffentlicht 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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    Journal Article