Fixed-Time Synchronization of Delayed Memristive Neural Networks with Discontinuous Activations by Hao Pu, Fengjun Li

“…With the help of the fixed-time stability theory, under the framework of Filippov solution and differential inclusion theory, several new and useful sufficient criteria for fixed-time synchronization are obtained by designing two types of energy-saving and simple controllers for the considered systems. …”
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Finite-Time Projective Synchronization of Fractional-Order Memristive Neural Networks with Mixed Time-Varying Delays by Meng Hui, Chen Wei, Jiao Zhang, Herbert Ho-Ching Iu, Ni Luo, Rui Yao, Lin Bai

“…Firstly, under the frame of fractional-order differential inclusion and the set-valued map, several criteria are derived to ensure finite-time projective synchronization of FMNNs. …”
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hnRNPU-mediated pathogenic alternative splicing drives gastric cancer progression by Guoguo Jin, Yanming Song, Shaobo Fang, Mingyang Yan, Zhaojie Yang, Yang Shao, Kexin Zhao, Meng Liu, Zhenwei Wang, Zhiping Guo, Zigang Dong

“…Abstract Background Alternative splicing (AS) is a process that facilitates the differential inclusion of exonic sequences from precursor messenger RNAs, significantly enhancing the diversity of the transcriptome and proteome. …”
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The projection operator in a Hilbert space and its directional derivative. Consequences for the theory of projected dynamical systems by George Isac, Monica G. Cojocaru

“…We show that this development is possible if we use the viable solutions of differential inclusions. We use also pseudomonotone operators.…”
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Convex Sweeping Processes with Noncompact Perturbations and with Delay in Banach Spaces by A. G. Ibrahim, F. Aladsani

“…We prove two results concerning the existence of solutions for functional differential inclusions that are governed by sweeping processes, with noncompact valued perturbations in Banach spaces. …”
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The weighted generalized Atangana-Baleanu fractional derivative in banach spaces- definition and applications by Muneerah AL Nuwairan, Ahmed Gamal Ibrahim

“…We prove the existence of the stability of solutions of non-local differential equations and non-local differential inclusions, in Banach spaces, with this new fractional derivative in the presence of instantaneous and non-instantaneous impulses. …”
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