Results 21 to 30 of about 11,267 (231)
Existence Theorem for Integral and Functional Integral Equations with Discontinuous Kernels
Abstract and Applied Analysis, 2012 Existence of extremal solutions of nonlinear discontinuous integral equations of Volterra type is proved. This result is extended herein to functional Volterra integral equations (FVIEs) and to a system of discontinuous VIEs as well.
Ezzat R. Hassan
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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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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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The existence of consensus of a leader-following problem with Caputo fractional derivative [PDF]
Opuscula Mathematica, 2019 In this paper, consensus of a leader-following problem is investigated. The leader-following problem describes a dynamics of the leader and a number of agents. The trajectory of the leader is given.
Ewa Schmeidel
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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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Advanced Science, EarlyView.The bottom‐up strategy based on multiomics data is used for the SynCom design, and it successfully inhibited F. nucleatum growth and achieved stable colonization in vivo. In addition, it promoted tryptophan metabolism and secondary bile acid conversion, reduced lipid accumulation, relieved microbiome disorder, decreased inflammatory reaction, and ...
Zhongkun Zhou +11 more
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Numerical Solution of Locally Loaded Volterra Integral Equations
ComputationLoaded Volterra integral equations represent a novel class of integral equations that have attracted considerable attention in recent years due to their numerous applications in various fields of science and engineering.
Vladislav Byankin +3 more
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Advanced Science, EarlyView.By engineering bifunctional nitrogen‐dislocation interactions, this work constructs a heterogeneous lamellar structure with N‐rich low‐angle boundaries and coherent nanotwinned martensites, enabling ultrahigh yield/tensile strength (1532/1869 MPa) and activating massive
Chongle Zhang +5 more
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Existence and Boundedness of Solutions for Nonlinear Volterra Difference Equations in Banach Spaces
Abstract and Applied Analysis, 2016 We consider a class of nonlinear discrete-time Volterra equations in Banach spaces. Estimates for the norm of operator-valued functions and the resolvents of quasi-nilpotent operators are used to find sufficient conditions that all solutions of such ...
Rigoberto Medina
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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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