## The differential transformation, an approach based on Taylor’s theorem, is proposed as convenient for finding an exact or approximate solution to the initial value problem with multiple Caputo fractional derivatives of generally non-commensurate orders. テイラーの定理に基づくアプローチである微分変換は、一般に不整合次数の複数の Caputo 分数導関数を使用した初期値問題の正確な解または近似解を見つけるのに便利であると提案されています。

Application of Differential Transform to Multi-Term Fractional Differential Equations with Non-Commensurate Orders

## In the paper, we utilize the fractional differential transformation (FDT) to solving singular initial value problem of fractional Emden-Fowler type differential equations. この論文では、分数の Emden-Fowler 型微分方程式の特異初期値問題を解くために、分数微分変換 (FDT) を利用します。

A Numerical Approach for Solving of Fractional Emden-Fowler Type Equations

## The current outcomes are compared with the Homotopy perturbation method (HPM), variational iteration method (VIM), differential transformation method (DTM), and the accurate solutions to confirm the exactness of the future method. 現在の結果は、ホモトピー摂動法（HPM）、変分反復法（VIM）、微分変換法（DTM）、および将来の方法の正確さを確認するための正確な解と比較されます。

The applications of Hermite wavelet method to nonlinear differential equations arising in heat transfer

## In this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, the conformable fractional differential transformation method (CFDTM) and variational iteration method (VIM). 本論文では、適合分数次数SIR流行モデルを、非線形問題の分析手法、すなわち適合分数微分変換法（CFDTM）と変分反復法（VIM）によって解きます。

Solutions of Conformable Fractional-Order SIR Epidemic Model

## (2) In the PLSR model, MSC processing is performed on the smoothed spectrum, and the model established after the second-order differential transformation has the best effect, Rc2 = 0.

Study on Chlorophyll Content in Visible-Near Infrared Spectroscopy

## 01), and the spectral information of SOM could be significantly enhanced by first-order differential transformation.

Hyperspectral Estimation Model of Forest Soil Organic Matter in Northwest Yunnan Province, China

## In this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, the conformable fractional differential transformation method (CFDTM) and variational iteration method (VIM). 本論文では、適合分数次数SIR流行モデルを、非線形問題の分析手法、すなわち適合分数微分変換法（CFDTM）と変分反復法（VIM）によって解きます。

Solutions of Conformable Fractional-Order SIR Epidemic Model

## In the paper, we utilize the fractional differential transformation (FDT) to solving singular initial value problem of fractional Emden-Fowler type differential equations. この論文では、分数の Emden-Fowler 型微分方程式の特異初期値問題を解くために、分数微分変換 (FDT) を利用します。

A Numerical Approach for Solving of Fractional Emden-Fowler Type Equations

## Differential Transformation Method (DTM), is applied for predicting the temperature distribution in a rectangular composite fin. 微分変換法（DTM）は、長方形の複合フィンの温度分布を予測するために適用されます。

Analytical and numerical solution of heat transfer equation in rectangular composite fins

## Analytical solutions were obtained for these equations, and in addition we apply a reliable algorithm based on an adaptation of the standard differential transformation method is presented, which is the multi-step differential transformation method to obtain numerical solutions for the considered system for some selected initial conditions. これらの方程式の解析解が得られました。さらに、標準の微分変換法の適応に基づく信頼性の高いアルゴリズムを適用します。これは、選択された初期の考慮されたシステムの数値解を取得するための多段階微分変換法です。条件。

The kinematics behaviour of coupled pendulum using differential transformation method

## This method employs the differential transformation procedure instead of the Cauchy–Kowalewski procedure to recursively express the spatiotemporal expansion coefficients of the solution through the low-order spatial expansion coefficients. この方法では、コーシー・コワレフスキー法の代わりに微分変換法を使用して、低次の空間展開係数を介して解の時空間展開係数を再帰的に表現します。

A new ADER discontinuous Galerkin method based on differential transformation procedure for hyperbolic conservation laws

## The method here applies the one-stage ADER (Arbitrary DERivatives in time and space) approach for the temporal discretization and employs the differential transformation procedure to express spatiotemporal expansion coefficients of the solution through low order spatial expansion coefficients recursively. ここでの方法は、時間離散化に1段階ADER（時間と空間の任意の微分）アプローチを適用し、微分変換手順を使用して、低次の空間拡張係数を介して解の時空間拡張係数を再帰的に表現します。

A well-balanced ADER discontinuous Galerkin method based on differential transformation procedure for shallow water equations

## We also find the reciprocal spectrum and its differential transformations have the highest correlation with the soil Cu content. また、逆数スペクトルとその微分変換が土壌のCu含有量と最も高い相関関係があることもわかりました。

Inversion of Total Copper Content in Mining Soils with Different Spectral Pretreatment Techniques Using AHSI/ZY1-02D Data

## Also, we propose to use the differential transformations aimed to restore a signal form by discrets of the differential spectrum of the received signal. また、受信信号の微分スペクトルの離散によって信号形式を復元することを目的とした微分変換を使用することを提案します。

Reducing the Root-Mean-Square Error at Signal Restoration using Discrete and Random Changes in the Sampling Rate for the Compressed Sensing Problem

## Results of correlation analysis showed that the differential transformation can refine the spectral characteristics, and improve the correlation between SOC content and spectral reflectance. 相関分析の結果は、微分変換がスペクトル特性を改善し、SOC含有量とスペクトル反射率の間の相関を改善できることを示しました。

Study on hyperspectral estimation model of soil organic carbon content in the wheat field under different water treatments

## Differential Transformation (DT) technique is employed to determine the unknown co-states at each time instant of landing trajectory using the information on the current vehicle state, target landing site (loaded on-board apriori) and the time-to-go. ディファレンシャルトランスフォーメーション（DT）技術を使用して、現在の車両の状態、ターゲットの着陸地点（事前に搭載）、および移動時間に関する情報を使用して、着陸軌道の各時点での未知の共状態を決定します。

Fuel-optimal and Energy-optimal guidance schemes for lunar soft landing at a desired location

## Results of correlation analysis showed that the differential transformation can refine the spectral characteristics and improve the correlation between SOC content and spectral reflectance. 相関分析の結果は、微分変換がスペクトル特性を改善し、SOC含有量とスペクトル反射率の間の相関を改善できることを示しました。

Study on hyperspectral estimation model of soil organic carbon content in the wheat field under different water treatments

## In this paper we propose to evaluate the possibility of applying the method known as differential transformation of signals to reduce the dynamic range of optical signals for mitigation of impairments caused by Kerr-nonlinearities. この論文では、信号の微分変換として知られる方法を適用して、カー非線形性によって引き起こされる障害を軽減するために光信号のダイナミック レンジを縮小する可能性を評価することを提案します。

Nonlinear impairments mitigation using signal compression

## Results show that the differential transformation of the spectrum can effectively improve the correlation between the spectrum and nickel (Ni) content. 結果は、スペクトルの微分変換が、スペクトルとニッケル (Ni) 含有量の間の相関を効果的に改善できることを示しています。

Rapid estimation of soil heavy metal nickel content based on optimized screening of near-infrared spectral bands

## This paper proposes a novel approach for power system dynamic simulation based on the differential transformation (DT). 本論文は微分変換(DT)に基づく電力系統動的シミュレーションのための新しいアプローチを提案した。

Power System Time Domain Simulation Using a Differential Transformation Method

## This coordinate was noticed by the numerical solution of the perturbed-differential transformation of the governing equations using Runge–Kutta–Fehlberg (RKF45). この座標は、ルンゲ・クッタ・フェルバーグ (RKF45) を使用した支配方程式の摂動微分変換の数値解によって注目されました。

The Universal Critical Coordinate in the MHD Wall Jet

## This paper investigates the squeezing flow of an electrically conducting magnetohydrodynamic Casson nanofluid between two parallel plates embedded in a porous medium using differential transformation and variation of parameter methods. この論文では、微分変換とパラメーター法の変化を使用して、多孔質媒体に埋め込まれた2つの平行プレート間の導電性磁気流体カソンナノ流体のスクイーズフローを調査します。

Unsteady Casson nanofluid squeezing flow between two parallel plates embedded in a porous medium under the influence of magnetic field

## 13-μm SiGe BiCMOS process, which is implemented with transformers for inter-stage matching and single-to-differential transformation. 13μm SiGe BiCMOS プロセス。これは、段間マッチングおよびシングルから差動への変換用のトランスで実装されています。

A W-Band Transformer-Based Power Amplifier with Anti-Pair Capacitors in 0.13-μm SiGe BiCMOS

## Akamatsu Transformation is a transformation derived from integral and differential transformations. 赤松変換は、積分変換と微分変換から派生した変換です。

Image Deblurring using Bi-directional Akamatsu Transform

## In this work, the model of the system is transformed into a Jordanian model by using the differential transformation so that the system is in the form of a quasi-time-optimal equation. この作業では、微分変換を使用してシステムのモデルをヨルダン モデルに変換し、システムが準時間最適方程式の形式になるようにします。

Building Quasi-Time-Optimal Control Laws For Ball And Beam System

## The results obtained from the given method are compared with the results which are obtained using the spectral homotopy analysis method (SHAM), homotopy perturbation method (HPM), optimal homotopy perturbation method (OHPM), modified variational iteration method (MVIM) and differential transformations. 与えられた方法から得られた結果は、スペクトル ホモトピー分析法 (SHAM)、ホモトピー摂動法 (HPM)、最適ホモトピー摂動法 (OHPM)、修正変分反復法 (MVIM) および微分変換を使用して得られた結果と比較されます。 .

A hybrid parametrization approach for a class of nonlinear optimal control problems

## Firstly, the structure of spraying robot is analysed and the coordinate systems of each joint are configured based on D-H method; Secondly, the kinematics model of spraying robot is established, and the error model of the spraying robot is established based on the differential transformation. 最初に,噴霧ロボットの構造を分析し,各関節の座標系をD‐H法に基づいて構成した。第二に,噴霧ロボットの運動学モデルを確立し,微分変換に基づいて噴霧ロボットの誤差モデルを確立した。

Kinematics Calibration of Spraying Robot based on Laser Tracker