A new integral transform on time scales and its applicationsSpringer Science and Business Media LLC - Tập 2012 Số 1 - Trang 1-14 - 2012
Agwa, Hassan Ahmed, Ali, Fatma Mohamed, Kılıçman, Adem
Integral transform methods are widely used to solve the several dynamic equations with initial values or boundary conditions which are represented by integral equations. With this purpose, the Sumudu transform is introduced in this article as a new integral transform on a time scale to solve a system of dynamic equations. The Sumudu transform on time scale has not been presented before. The result...... hiện toàn bộ
Finite-time reliable filtering for T-S fuzzy stochastic jumping neural networks under unreliable communication linksSpringer Science and Business Media LLC - Tập 2017 - Trang 1-17 - 2017
Huiling Duan, Tao Peng
This study is concerned with the problem of finite-time state estimation for T-S fuzzy stochastic jumping neural networks, where the communication links between the stochastic jumping neural networks and its estimator are imperfect. By introducing the fuzzy technique, both the nonlinearities and the stochastic disturbances are represented by T-S model. Stochastic variables subject to the Bernoulli...... hiện toàn bộ
Đại lượng Daehee loại Barnes bậc nhất và đại lượng poly-Cauchy loại 1: Đạo hàm đại lượng hỗn hợp Dịch bởi AI Springer Science and Business Media LLC - Tập 2014 - Trang 1-22 - 2014
Dae San Kim, Taekyun Kim, Takao Komatsu, Sang-Hun Lee
Trong bài báo này, thông qua việc xem xét các đa thức Daehee loại Barnes bậc nhất cũng như các đa thức poly-Cauchy bậc nhất, chúng tôi định nghĩa và nghiên cứu các đa thức hỗn hợp của những đa thức này. Từ các tính chất của chuỗi Sheffer từ các đa thức này phát sinh từ phép tính bóng, chúng tôi suy ra những công thức đồng nhất mới và thú vị.
#đa thức #Daehee #Barnes #poly-Cauchy #chuỗi Sheffer #phép tính bóng
Passivity analysis and state estimation for a class of memristor-based neural networks with multiple proportional delaysSpringer Science and Business Media LLC - Tập 2017 - Trang 1-20 - 2017
Jian Liu, Rui Xu
This paper is concerned with the problem of a passivity analysis for a class of memristor-based neural networks with multiple proportional delays and the state estimator is designed for the memristive system through the available output measurements. By constructing a proper Lyapunov-Krasovskii functional, new criteria are obtained for the passivity and state estimation of the memristive neural ne...... hiện toàn bộ
Mathematical model of SIR epidemic system (COVID-19) with fractional derivative: stability and numerical analysisSpringer Science and Business Media LLC - Tập 2021 - Trang 1-16 - 2021
Rubayyi T. Alqahtani
In this paper, we study and analyze the susceptible-infectious-removed (SIR) dynamics considering the effect of health system. We consider a general incidence rate function and the recovery rate as functions of the number of hospital beds. We prove the existence, uniqueness, and boundedness of the model. We investigate all possible steady-state solutions of the model and their stability. The analy...... hiện toàn bộ
Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditionsSpringer Science and Business Media LLC - Tập 2020 - Trang 1-50 - 2020
Akbar Zada, Jehad Alzabut, Hira Waheed, Ioan-Lucian Popa
This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results for the given problem by applying the tools of fixed point theory. Furthermore, we investigate different kinds of stability such as Ulam–Hyers st...... hiện toàn bộ