Results 21 to 30 of about 11,797 (246)
Mathematics, 2021 The paper considers two types of Volterra integral equations of the first kind, arising in the study of inverse problems of the dynamics of controlled heat power systems.
Svetlana Solodusha, Mikhail Bulatov
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Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations
Mathematical Biosciences and Engineering, 2022 In this paper, using the fractional integral with respect to the Ψ function and the Ψ-Hilfer fractional derivative, we consider the Volterra fractional equations.
Zahra Eidinejad, Reza Saadati
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MathematicsIn this paper, we present sufficient conditions for Hyers-Ulam-Rassias stability of nonlinear implicit higher-order Volterra-type integrodifferential equations from above on unbounded time scales.
Andrejs Reinfelds, Shraddha Christian
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Comparison of Stochastic Volterra Equations [PDF]
Bernoulli, 2000 The authors prove a pathwise comparison theorem for solutions of the following one-dimensional stochastic Volterra equations: \[ X_i(t)=\xi_i + \sum_{j=1}^n H(t)\int_0^t \sigma_j(s,X_i(s)) dM_j(s) + \sum_{j=1}^n \int_0^t b_j^i(t,s,X_i(s)) dV_j(s),\quad i=1,2, \] where \(\{H(t)\}\) is a continuous adapted positive and strictly decreasing process ...
Ferreyra, Guillermo, Sundar, Padamanbhan
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Walailak Journal of Science and Technology, 2014 This paper deals with the extended design for Fredholm and Volterra integral equations and design for Fredholm and Volterra integro-differential equations of first-order to second-order nonlinear Fredholm and second-order nonlinear Volterra integro ...
Imran AZIZ +3 more
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A Practical Real‐Time Observer‐Based Radiation Prediction Algorithm for Solar Plants
Energy Science &Engineering, EarlyView.A novel radiation prediction method is proposed. The model's existence is verified by applying real data to an offline identifier. An adaptive state/parameter estimator is developed to identify the model. The identification process occurs in real‐time, independent of specific situations. The method offers universal radiation prediction.
S. Sepehr Tabatabaei +2 more
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Abstract and Applied Analysis, 2012 The reproducing kernel method (RKM) and the Adomian decomposition method (ADM) are applied to solve nth-order nonlinear weakly singular Volterra integrodifferential equations. The numerical solutions of this class of equations have been a difficult topic
Xueqin Lv, Sixing Shi
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International Journal for Numerical Methods in Fluids, EarlyView.The proposed work implements a direct flux reconstruction method for spatial discretization and a stiffness‐resilient exponential time integration method for temporal discretization on the cube‐sphere grid. A space‐time tensor formalism is employed to provide a general representation in any curvilinear coordinate system. This combination enables highly
Stéphane Gaudreault +6 more
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Open MathematicsIn this study, a multipoint boundary value problem for Volterra-Fredholm integro-differential equations is considered. The addition of a new function converts the system of Volterra-Fredholm integro-differential equations to a system of Fredholm integro ...
Bakirova Elmira A. +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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