Results 111 to 120 of about 1,624,926 (272)
Numerical Fatigue Analysis for Crack Propagation on Ti6Al4V Panel Using XFEM Method
Macromolecular Symposia, EarlyView.ABSTRACT The aim of this work is the validation of a numerical model based on the XFEM method for the prediction of crack propagation in mechanical components subjected to cyclic loads. Through careful bibliographic research, it was decided to take as a case study the analysis of the propagation of a crack passing through a panel in an additive ...
Ciro Coscione +2 more
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IET Control Theory & ApplicationsThe present investigation aims to address the leader‐following consensus issue for variable‐order fractional multi‐agent systems (VOFMASs) under actuator faults and unknown external disturbances.
Ehsan Nazemorroaya +2 more
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Mathematical Methods in the Applied Sciences, EarlyView.The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang +5 more
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On the Theory of Fractional Calculus in the Pettis-Function Spaces
Journal of Function Spaces, 2018 Throughout this paper, we outline some aspects of fractional calculus in Banach spaces. Some examples are demonstrated. In our investigations, the integrals and the derivatives are understood as Pettis integrals and the corresponding derivatives.
Hussein A. H. Salem
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Advances in Continuous and Discrete ModelsFabrizio and Caputo suggested an extraordinary definition of fractional derivative, which has been used in many fields. The SIDARTHE infectious disease model with regard to COVID-19 is studied by the new notion in this paper.
Yu Zhao +3 more
semanticscholar +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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Alexandria Engineering JournalThe human papilloma virus (HPV) presents a significant global public health challenge, especially in regions with limited access to healthcare and preventive measures.
Thabet Abdeljawad +5 more
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AIMS MathematicsIn this work, we introduced a generalized concept of Caputo fractional derivatives, specifically the Caputo fractional delta derivative (Fr$ \Delta $D) and Caputo fractional delta Dini derivative (Fr$ \Delta $DiD) of order $ \alpha \in (0, 1) $, on an ...
M. P. Ineh +2 more
semanticscholar +1 more source
Practical stability of caputo fractional differential equations by lyapunov functions
, 2018 The practical stability of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov like function along the given ...
Hristova, Snezhana G. +2 more
core
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source