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DERIVATIVE: 作品数：1328被引量：1709H指数：14; 导出分析报告; 相关领域：理学更多>>; 相关作者：梁宇学王超张东辉韩立杨鹰更多>>; 相关机构：北京大学中南大学吉林大学沈阳药科大学更多>>; 相关期刊：更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国博士后科学基金国家教育部博士点基金更多>>

An Estimate on Linear Functionals’ Kernels in Banach Spaces, and Regularity of Convex Functionals: 《Applied Mathematics》2022年第9期753-759,共7页Hiroko Okochi; Motivated to obtain the second critical point of a nonlinear differential equation, which is expressed by derivatives of convex functional defined on a Banach space, an estimate with is given to see the relation betwe...; 关键词：Banach Space Convex Functional SUBDIFFERENTIAL Frèchet Derivative Gâteaux Derivative Deformation Lemma Mountain Pass Theorem

The Ill-Posedness of Derivative Interpolation and Regularized Derivative Interpolation for Non-Bandlimited Functions: 《Applied Mathematics》2022年第1期87-100,共14页Weidong Chen; In this paper, the ill-posedness of derivative interpolation is discussed, and a regularized derivative interpolation for non-bandlimited signals is presented. The convergence of the regularized derivative interpolati...; 关键词：Nonband-Limited Function Derivative Interpolation ILL-POSEDNESS REGULARIZATION

Reconstruct the Heat Conduction Model with Memory Dependent Derivative被引量：1: 《Applied Mathematics》2018年第9期1072-1080,共9页Wenwen Sun Jinliang Wang; The classical heat conduction equation is derived from the assumption that the temperature increases immediately after heat transfer, but the increase of temperature is a slow process, so the memory-dependent heat con...; 关键词：Partial Differential EQUATION Boundary Value Problem Memory-Dependent DERIVATIVE (MDD) Caputo Type FRACTIONAL DERIVATIVE Heat Conduction EQUATION

Numerical Simulation Using GEM for the Optimization Problem as a System of FDEs: 《Applied Mathematics》2017年第12期1761-1768,共8页Mohamed Adel Mohamed M. Khader; In this paper, we introduce a numerical treatment using generalized Euler method (GEM) for the non-linear programming problem which is governed by a system of fractional differential equations (FDEs). The appeared fra...; 关键词：Nonlinear Programming PENALTY Function Dynamic SYSTEM Caputo Fractional DERIVATIVE Generalized EULER METHOD RK4 METHOD

Chelyshkov-Tau Approach for Solving Bagley-Torvik Equation被引量：2: 《Applied Mathematics》2017年第12期1795-1807,共13页Mohamed El- Gamel Mahmoud Abd-El-Hady Magdy El-Azab; There are few numerical techniques available to solve the Bagley-Torvik equation which occurs considerably frequently in various offshoots of applied mathematics and mechanics. In this paper, we show that Chelyshkov-t...; 关键词：Chelyshkov TAU Method Bagley-Torvik Caputo DERIVATIVE RESIDUAL FUNCTIONS

Existence and Uniqueness for the Boundary Value Problems of Nonlinear Fractional Differential Equation: 《Applied Mathematics》2017年第3期312-323,共12页Yufeng Sun Zheng Zeng Jie Song; This paper studies the existence and uniqueness of solutions for a class of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the Ban...; 关键词：FRACTIONAL Order Differential EQUATIONS BOUNDARY Value Problem Caputo FRACTIONAL DERIVATIVE FRACTIONAL INTEGRAL Fixed Point

Numerical Solution of Klein/Sine-Gordon Equations by Spectral Method Coupled with Chebyshev Wavelets: 《Applied Mathematics》2016年第17期2097-2109,共13页Javid Iqbal Rustam Abass; The basic aim of this paper is to introduce and describe an efficient numerical scheme based on spectral approach coupled with Chebyshev wavelets for the approximate solutions of Klein-Gordon and Sine-Gordon equations...; 关键词：Chebyshev Wavelets Spectral Method Operational Matrix of Derivative Klein and Sine-Gordon Equations Numerical Simulation MATLAB

Delay and Its Time-Derivative Dependent Stable Criterion for Differential-Algebraic Systems: 《Applied Mathematics》2016年第10期1124-1133,共10页Hui Liu Yucai Ding; In this paper, the stable problem for differential-algebraic systems is investigated by a convex op-timization approach. Based on the Lyapunov functional method and the delay partitioning approach, some delay and its ...; 关键词：Differential-Algebraic Systems Stability Analysis Lyapunov-Krasovskii Functional Delay Partitioning Approach Linear Matrix Inequality (LMI)

Numerical Solution for the Fractional Wave Equation Using Pseudo-Spectral Method Based on the Generalized Laguerre Polynomials: 《Applied Mathematics》2015年第4期647-654,共8页Nasser H. Sweilam Mohamed M. Khader Mohamed Adel; In this paper, an efficient numerical method is considered for solving the fractional wave equation (FWE). The fractional derivative is described in the Caputo sense. The method is based on Laguerre approximations. Th...; 关键词：FRACTIONAL Wave Equation Caputo DERIVATIVE Finite Difference Method LAGUERRE POLYNOMIALS Convergence Analysis

Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation被引量：1: 《Applied Mathematics》2015年第3期617-628,共12页Amr M. S. Mahdy Adel S. Mohamed Ahmad A. H. Mtawa; This paper extends the homotopy perturbation Sumudu transform method (HPSTM) to solve linear and nonlinear fractional Klein-Gordon equations. To illustrate the reliability of the method, some examples are presented. T...; 关键词：Mittag-Leffler Functions Caputo DERIVATIVE Sumudu TRANSFORM HOMOTOPY PERTURBATION Method KLEIN-GORDON Equation

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