Approximate controllability of fractional order semilinear systems with bounded delay

Approximate Controllability for Functional Equations with Riemann-Liouville Derivative by Iterative and Approximate Method

“…On the other hand, the notion of controllability plays a central role in the study of the theory of control and optimization. Therefore, there are a lot of works on the controllability, approximate controllability, and optimal control of linear and nonlinear differential and integral systems in various frameworks (see [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] and references therein).…”

Controllability of Fractional Functional Evolution Equations of Sobolev Type via Characteristic Solution Operators

“…We refer the reader to ElBorai [6,7], Balachandran and Park [8], Zhou and Jiao [9,10], Hernández et al [11], Wang and Zhou [12][13][14], Sakthivel et al [15], Debbouchea and Baleanu [16], Wang et al [17][18][19][20][21][22][23], Kumar and Sukavanam [24], Li et al [25] and the references therein.…”

Influence of Fractional Differential on Correlation Coefficient between EC1:5 and Reflectance Spectra of Saline Soil

“…Furthermore, some studies [42][43][44][45][46][47][48] show that many systems in reality are belonged to fractional order, and the models based on integer differential which used to describe these systems may cause large deviation between models and the actual results; it could not only be well for system simulation and prediction but also neglects the authenticity of systems to some extent. Before using fractional differential to build models to quantify the relationship between hyperspectral data and soil salinity, the physical meaning of fractional differential should better explain and describe the model, improve the inversion precision, and spread model application.…”