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  1. 1001

    Existence Results for Nonlinear Multiorder Fractional Differential Equations with Integral and Antiperiodic Boundary Conditions by HuiChol Choi, YongSim Sin, KumSong Jong

    Published 2020-01-01
    “…In this paper, we study the solvability of a class of nonlinear multiorder Caputo fractional differential equations with integral and antiperiodic boundary conditions. …”
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    Article
  2. 1002

    Bivariate Chebyshev Polynomials to Solve Time-Fractional Linear and Nonlinear KdV Equations by Azam Zahrani, Mashaallah Matinfar, Mostafa Eslami

    Published 2022-01-01
    “…The fractional derivative operators are of the Caputo type. Two-variable second-kind Chebyshev wavelets (SKCWs) are constructed using one-variable ones; then, utilizing corresponding integral operational matrices leads to an approximate solution to the problem under study. …”
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    Article
  3. 1003

    Ìtúpalẹ̀ Ewì Aláwòrò-Ẹkùn Láàrin Àwọn Àwórì by Rifqat Ọpẹyẹmí Sanni ́

    Published 2021-12-01
    “…Ó fẹ́ rẹ̀ ẹ́ má sí ìlú kan láwùjọ Yorùbá tí kò ní ọdún ìbílẹ̀ kan tí wọ́ n ń ṣe ní pàtó. …”
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    Article
  4. 1004

    Thinking on the Meteorological Services to Ensure the Development of a System for New Energy Sources by Yongchang ZHU, Xiaofeng ZHANG, Zhenghong CHEN, Dong YE, Juan TAN, Yong QIN, Zhaohui LIU, Zhiqi XU

    Published 2025-01-01
    “…[Conclusion] According to the requirements of a system for new energy sources construction, proposals are put forward from aspects such as optimizing the layout of meteorological services, improving service support capabilities, strengthening talent and cooperation mechanisms.…”
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    Article
  5. 1005
  6. 1006

    On the Lauwerier formulation of the temperature field problem in oil strata by Lyubomir Boyadjiev, Ognian Kamenov, Shyam Kalla

    Published 2005-01-01
    “…The boundary value problem for the fractional heat equation is solved by means of the Caputo differintegration operator D∗(α) of order 0<α≤1 and the Laplace transform. …”
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    Article
  7. 1007

    Revised Variational Iteration Method for Solving Systems of Nonlinear Fractional-Order Differential Equations by C. Ünlü, H. Jafari, D. Baleanu

    Published 2013-01-01
    “…The fractional derivatives are described in the Caputo sense. The solutions of fractional differential equations (FDE) obtained using the traditional variational iteration method give good approximations in the neighborhood of the initial position. …”
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    Article
  8. 1008

    The Savvy Survey #7: Formatting Questionnaires by Jessica O'Leary, Glenn D. Israel

    Published 2016-02-01
    “…This 7-page publication spotlights several considerations, including question order, layout for best visual appearance, and pagination. …”
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    Article
  9. 1009

    Measurement of the electric potential and the magnetic field in the shifted analysing plane of the KATRIN experiment by KATRIN Collaboration

    Published 2024-12-01
    “…A special shifted-analysing-plane (SAP) configuration was developed to reduce this background by a factor of two. The complex layout of electromagnetic fields in the SAP configuration requires a robust method of estimating these fields. …”
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    Article
  10. 1010

    Spectral Element Method for Fractional Klein–Gordon Equations Using Interpolating Scaling Functions by Haifa Bin Jebreen

    Published 2023-01-01
    “…A matrix representation of the Caputo fractional derivative of ISFs is presented using matrices representing the fractional integral and derivative operators. …”
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    Article
  11. 1011

    Fractional Model and Exact Solutions of Convection Flow of an Incompressible Viscous Fluid under the Newtonian Heating and Mass Diffusion by Ndolane Sene

    Published 2022-01-01
    “…The proposed model has been described by the Caputo fractional operator. The used derivative is compatible with physical initial and boundaries conditions. …”
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    Article
  12. 1012

    Solving the Fractional Rosenau-Hyman Equation via Variational Iteration Method and Homotopy Perturbation Method by R. Yulita Molliq, M. S. M. Noorani

    Published 2012-01-01
    “…The fractional derivatives are described in the Caputo sense. The two methods in applied mathematics can be used as alternative methods for obtaining analytic and approximate solutions for fractional Rosenau-Hynam equations. …”
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    Article
  13. 1013

    A Fourth-Order Compact Finite Difference Scheme for Solving the Time Fractional Carbon Nanotubes Model by N. H. Sweilam, Khloud R. Khater, Zafer M. Asker, Waleed Abdel Kareem

    Published 2022-01-01
    “…Two numerical methods used to study this model are the weighted average finite difference method and the nonstandard compact finite difference method. The proportional Caputo hybrid operator has been used to fractionalize the proposed model. …”
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    Article
  14. 1014

    The Time-Fractional Coupled-Korteweg-de-Vries Equations by Abdon Atangana, Aydin Secer

    Published 2013-01-01
    “…The fractional derivatives are described in the Caputo sense. The reliability of HDM and the reduction in computations give HDM a wider applicability. …”
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    Article
  15. 1015

    GEDUNG KOMUNITAS SASTRA FIKSI KREATIF DI MAKASSAR DENGAN PENDEKATAN ARSITEKTUR KUBISME by Silmi Sulthan, Irma Rahayu, Mutmainnah Mutmainnah

    Published 2014-12-01
    “…These planning and designing are aimed to the creative literary fiction community building in Makassar with Cubism architecture approach, this design is limited to a few problems such as the problem of architectural, location and footprint, the prospect physical design of the building, the need for space (layout), structure, materials, and equipment building so that, it can indicate the identity of what its contain, while the methods are literature studies, comparative studies, (Form obtained by comparing studies on similar projects or who have in common with creative literary fiction community building). …”
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  16. 1016

    Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay by Brajesh Kumar Singh, Pramod Kumar

    Published 2017-01-01
    “…This paper deals with an alternative approximate analytic solution to time fractional partial differential equations (TFPDEs) with proportional delay, obtained by using fractional variational iteration method, where the fractional derivative is taken in Caputo sense. The proposed series solutions are found to converge to exact solution rapidly. …”
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    Article
  17. 1017
  18. 1018

    Unifications of Continuous and Discrete Fractional Inequalities of the Hermite–Hadamard–Jensen–Mercer Type via Majorization by Shah Faisal, Muhammad Adil Khan, Tahir Ullah Khan, Tareq Saeed, Zaid Mohammmad Mohammad Mahdi Sayed

    Published 2022-01-01
    “…Moreover, the frequently-used Caputo fractional operators are employed, which are rightly considered critical, especially for applied problems. …”
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    Article
  19. 1019

    Eigenvalue Criteria for Existence of Positive Solutions to Fractional Boundary Value Problem by Wen Lian, Zhanbing Bai

    Published 2020-01-01
    “…The existence and multiplicity of positive solutions for the nonlinear fractional differential equation boundary value problem (BVP) DC0+αyx+fx,yx=0,   0<x<1, y0=y′1=y″0=0 is established, where 2<α≤3,  CD0+α is the Caputo fractional derivative, and f:0,1×0,∞⟶0,∞ is a continuous function. …”
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  20. 1020

    Positive Solutions for the Initial Value Problems of Fractional Evolution Equation by Yue Liang, Yu Ma, Xiaoyan Gao

    Published 2013-01-01
    “…This paper discusses the existence of positive solutions for the initial value problem of fractional evolution equation with noncompact semigroup , ; in a Banach space , where denotes the Caputo fractional derivative of order , is a closed linear operator, generates an equicontinuous semigroup, and is continuous. …”
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