A numerical study on fractional differential equation with population growth model

2020 ◽  
Author(s):  
Sunil Kumar ◽  
Pawan Kumar Shaw ◽  
Abdel‐Haleem Abdel‐Aty ◽  
Emad E. Mahmoud
Keyword(s):  
Differential Equation ◽  
Population Growth ◽  
Fractional Differential Equation ◽  
Growth Model ◽  
Numerical Study ◽  
Fractional Differential

scholarly journals Application of fractional differential equation in economic growth model: A systematic review approach

2021 ◽  
Vol 6 (9) ◽  
pp. 10266-10280
Author(s):  
Muhamad Deni Johansyah ◽  
◽  
Asep K. Supriatna ◽  
Endang Rusyaman ◽  
Jumadil Saputra ◽  
...  
Keyword(s):  
Differential Equation ◽  
Economic Growth ◽  
Systematic Review ◽  
Fractional Differential Equation ◽  
Growth Model ◽  
Economic Growth Model ◽  
Fractional Differential

scholarly journals Fractional Differential Equation-Based Instantaneous Frequency Estimation for Signal Reconstruction

2021 ◽  
Vol 5 (3) ◽  
pp. 83
Author(s):  
Bilgi Görkem Yazgaç ◽  
Mürvet Kırcı
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Frequency Estimation ◽  
Signal Reconstruction ◽  
Reconstruction Method ◽  
Reconstruction Algorithms ◽  
Instantaneous Frequency Estimation ◽  
Proposed Model ◽  
Fractional Differential ◽  
Instantaneous Frequencies

In this paper, we propose a fractional differential equation (FDE)-based approach for the estimation of instantaneous frequencies for windowed signals as a part of signal reconstruction. This approach is based on modeling bandpass filter results around the peaks of a windowed signal as fractional differential equations and linking differ-integrator parameters, thereby determining the long-range dependence on estimated instantaneous frequencies. We investigated the performance of the proposed approach with two evaluation measures and compared it to a benchmark noniterative signal reconstruction method (SPSI). The comparison was provided with different overlap parameters to investigate the performance of the proposed model concerning resolution. An additional comparison was provided by applying the proposed method and benchmark method outputs to iterative signal reconstruction algorithms. The proposed FDE method received better evaluation results in high resolution for the noniterative case and comparable results with SPSI with an increasing iteration number of iterative methods, regardless of the overlap parameter.

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