Results 31 to 40 of about 5,516 (189)
On an integrodifferential equation arising in a theory of phase transitions in solids [PDF]
, 1997 This note is concerned with some properties of an integrodifferential equation a rising in a continuum model of solid-solid phase ...
Abeyaratne, Rohan, Knowles, James K.
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Controllability of Fractional Control Systems With Deformable Dynamics in Finite‐Dimensional Spaces
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this work, we investigate the controllability of fractional control systems for deformable bodies in finite‐dimensional spaces. To achieve this, we employ a methodology based on the fractional exponential matrix associated with deformable bodies, the controllability Gramian matrix, and an iterative technique.
Boulkhairy Sy, Cheikh Seck, A. M. Nagy
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Extension of the Risk Model From a Hawkes Variable Memory Process via the Spearman Copula
Journal of Probability and Statistics, Volume 2026, Issue 1, 2026.The ultimate ruin probability of an insurance company throughout its operating life remains and continues to be a major and very complex concern for the latter. Although this probability of ruin can be modeled using stochastic processes, its determination remains particularly complex.
Souleymane Badini +4 more
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Abstract and Applied Analysis, 2012 This paper is concerned with the existence of mild solutions for the fractional integrodifferential equations with finite delay and almost sectorial operators in a separable Banach space X.
Fang Li
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Front motion for phase transitions in systems with memory
, 2000 We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici +17 more
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Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2595-2611, November/December 2025.Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson +2 more
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Integrated semigroups and integrodifferential equations
Mathematische Zeitschrift, 1990 We consider the integral equation \[ (1)\quad du/dt=A(u(t))+\int^{t}_{0}B(t-s)u(s)ds+f(t) \] and, as a corollary, the abstract Cauchy problem \[ (2)\quad v^{(n+1)}(t)=A(v^{(n)}(t))+\sum^{n}_{j=1}B_ jv^{(n- j)}(t)+g(t), \] where the domain of A is contained in a domain of B(r) (r\(\geq 0)\) and \(B_ j\) (1\(\leq j\leq n)\), all operators are linear, on ...
openaire +1 more source
Artificial Neural Network Methods in Quantum Mechanics
, 1997 In a previous article we have shown how one can employ Artificial Neural Networks (ANNs) in order to solve non-homogeneous ordinary and partial differential equations.
A. Likas +20 more
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Studies in Applied Mathematics, Volume 155, Issue 2, August 2025.ABSTRACT We develop a general modeling framework for compartmental epidemiological systems structured by continuous variables which are linked to the levels of expression of compartment‐specific traits. We start by formulating an individual‐based model that describes the dynamics of single individuals in terms of stochastic processes. Then, we formally
Emanuele Bernardi +3 more
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The gauge invariant quark Green's function in two-dimensional QCD
, 2010 The gauge invariant quark Green's function, defined with a path-ordered phase factor along a straight line, is studied in two-dimensional QCD in the large-N_c limit by means of an exact integrodifferential equation. It is found to be infrared finite with
Sazdjian, H.
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