Results 51 to 60 of about 7,526 (199)
Multi-step Methods for First Kind Singular Volterra Integral Equations [PDF]
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Gladwin, C.J., Garey, L.E.
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Optimal Portfolio Choice With Cross‐Impact Propagators
ABSTRACT We consider a class of optimal portfolio choice problems in continuous time where the agent's transactions create both transient cross‐impact driven by a matrix‐valued Volterra propagator, as well as temporary price impact. We formulate this problem as the maximization of a revenue‐risk functional, where the agent also exploits available ...
Eduardo Abi Jaber +2 more
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Numerical treatments for solving nonlinear mixed integral equation
We consider a mixed type of nonlinear integral equation (MNLIE) of the second kind in the space C[0,T]×L2(Ω ...
M.A. Abdou, M. Basseem
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In this paper, we propose and analyze a spectral approximation for the numerical solutions of fractional integro-differential equations with weakly kernels.
Xiulian Shi
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A Biorthogonal Hermite Cubic Spline Galerkin Method for Solving Fractional Riccati Equation
This paper is devoted to the wavelet Galerkin method to solve the Fractional Riccati equation. To this end, biorthogonal Hermite cubic Spline scaling bases and their properties are introduced, and the fractional integral is represented based on these ...
Haifa Bin Jebreen, Ioannis Dassios
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Two-dimensional Time-dependent Point Interactions
We study the time-evolution of a quantum particle subjected to time-dependent zero-range forces in two dimensions. After establishing a conceivable ansatz for the solution to the Schr\"{o}dinger equation, we prove that the wave packet time-evolution is ...
Carlone, R., Correggi, M., Figari, R.
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Singularly perturbed Volterra integral equations with weakly singular kernels [PDF]
We consider finding asymptotic solutions of the singularly perturbed linear Volterra integral equations with weakly singular kernels. An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay algebraically rather than exponentially within the initial (boundary) layer. To analyse this phenomenon, the
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Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis
We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim +2 more
wiley +1 more source
Approximate Numerical Solutions for Linear Volterra Integral Equations Using Touchard Polynomials
In this paper, Touchard polynomials (TPs) are presented for solving Linear Volterra integral equations of the second kind (LVIEs-2k) and the first kind (LVIEs-1k) besides, the singular kernel type of this equation.
Jalil Talab Abdullah
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A 3-dimensional singular kernel problem in viscoelasticity: an existence result
Materials with memory, namely those materials whose mechanical and/or thermodynamical behaviour depends on time not only via the present time, but also through its past history, are considered.
Carillo, Sandra
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