The existence and uniqueness of solutions for partially dissipative lattice system of infinite dimension

Xuyi Wu; Zhenqi Zhang

doi:10.1117/12.2636360

6 May 2022 The existence and uniqueness of solutions for partially dissipative lattice system of infinite dimension

Xuyi Wu, Zhenqi Zhang

Proceedings Volume 12256, International Conference on Electronic Information Engineering, Big Data, and Computer Technology (EIBDCT 2022); 1225614 (2022) https://doi.org/10.1117/12.2636360
Event: 2022 International Conference on Electronic Information Engineering, Big Data and Computer Technology, 2022, Sanya, China

Abstract

In the past decade, the fractional differential equation (FDE) model has been widely used in the fields of materials science[1], electrical engineering[2], control theory[3], signal processing[4], chaos[5], etc. As a result, the research of FDE solution has become a focus of many current studies. This study devotes itself to the solution of a fractional-order partially dissipative lattice system. The paper proves firstly that the operator T(Sr) is uniformly bounded, and then that it is equally continuous before finally proves, by applying the Schauder fixed point theorem, the existence and uniqueness of the solution of the fractional partial dissipative system.

Citation Download Citation

Xuyi Wu and Zhenqi Zhang "The existence and uniqueness of solutions for partially dissipative lattice system of infinite dimension", Proc. SPIE 12256, International Conference on Electronic Information Engineering, Big Data, and Computer Technology (EIBDCT 2022), 1225614 (6 May 2022); https://doi.org/10.1117/12.2636360

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