Results 71 to 80 of about 5,516 (189)
Microscopic Derivation of Causal Diffusion Equation using Projection Operator Method
, 2005 We derive a coarse-grained equation of motion of a number density by applying the projection operator method to a non-relativistic model. The derived equation is an integrodifferential equation and contains the memory effect.
C. Cattaneo +6 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The Painlevé equations and their series and rational solutions are essential in applied, pure mathematics and theoretical physics. Recently, quantum algorithms have helped to implement numerical algorithms more easily by performing linear algebra in our working. This article uses a hybrid of quantum computing schemes and spectral methods for the second
Saeid Abbasbandy, Shikha Binwal
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Nonautonomous Dynamical Systems, 2017 In this paper we discuss the existence of mild and strong solutions of abstract nonlinear mixed functional integrodifferential equation with nonlocal condition by using Sadovskii’s fixed point theorem and theory of fractional power of operators.
Dhakne Machindra B., Bora Poonam S.
doaj +1 more source
An integrodifferential wave equation
Advances in Differential Equations, 2006 This paper is devoted to the study of the integrodifferential equation $$u'(t) = Au(t) +\int_0^t a(t - s)A_1u(s)ds + f(t), t\geq 0, $$ where $A$ is a Hille-Yosida operator in a Banach space $X$, $A_1 \in \mathcal {L}(D(A);X)$ and $a$ has bounded variation.
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A nonlinear partial integro-differential equation from mathematical finance [PDF]
We study a nonlinear partial integrodifferential equation arising in the calibration of stochastic volatility models to a market of vanilla options.
Frédéric Abergel, Rémi Tachet
core
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.In this manuscript, we establish existence, uniqueness, and trajectory controllability for higher order noninstantaneous impulsive fractional neutral stochastic differential equations. First, solvability and uniqueness results are obtained using a fixed‐point approach with appropriate assumptions on nonlinear functions. Next, we deal with the strongest
Dhanalakshmi Kasinathan +5 more
wiley +1 more source
Boundary Value Problems, 2009 This paper deals with some existence results for a boundary value problem involving a nonlinear integrodifferential equation of fractional order q∈(1,2] with integral boundary conditions.
Bashir Ahmad, Juan J. Nieto
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Bounds of Solutions of Integrodifferential Equations [PDF]
Abstract and Applied Analysis, 2011 Some new integral inequalities are given, and bounds of solutions of the following integro‐differential equation are determined: , x(0) = x0, where h : R+ → R, , ℱ : R+ × R2 → R are continuous functions, R+ = [0, ∞).
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Solution of the Dyson--Schwinger equation on de Sitter background in IR limit
, 2012 We propose an ansatz which solves the Dyson-Schwinger equation for the real scalar fields in Poincare patch of de Sitter space in the IR limit. The Dyson-Schwinger equation for this ansatz reduces to the kinetic equation, if one considers scalar fields ...
E. T. Akhmedov +2 more
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A Comprehensive Review of Matrix Equations in Dynamical Systems and Control Theory
Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.Matrix equations are of foundational importance in the modeling, investigation, and control of dynamical systems. This review discusses various classes of matrix equations, their solutions, and their relevance in control theory and dynamical systems.
Chacha Stephen Chacha, Arpan Hazra
wiley +1 more source