Results 21 to 30 of about 5,516 (189)
Cubo, 2020 In this paper, we establish the existence and a global attractivity results for a nonlinear mixed quadratic and linearly perturbed hybrid fractional integrodifferential equation of second type involving the Caputo fractional derivative on unbounded ...
Bapurao C. Dhage
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Algorithmic quantum simulation of memory effects [PDF]
, 2017 We propose a method for the algorithmic quantum simulation of memory effects described by integrodifferential evolution equations. It consists in the systematic use of perturbation theory techniques and a Markovian quantum simulator.
Alvarez-Rodriguez, U. +4 more
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Advances on Integrodifferential Equations and Transforms [PDF]
Abstract and Applied Analysis, 2015 El análisis investigó algunos tensores fraccionarios de Killing-Yano y vectores de Killing utilizando la derivada de Caputo (o, más exactamente, la de Liouville-Caputo) en un espacio curvo unidimensional y bidimensional.
H. M. Srivastava +4 more
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Partial Differential Equations in Applied MathematicsThe primary objective of this study is to develop an analytic solution for mixed integrodifferential equations of fractional order, which are commonly applied in the mathematical modeling of various physical phenomena.
Aliaa Burqan, Ahmad El-Ajou
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Necessary Condition for an Euler-Lagrange Equation on Time Scales
Abstract and Applied Analysis, 2014 We prove a necessary condition for a dynamic integrodifferential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. An example of a second order dynamic equation,
Monika Dryl, Delfim F. M. Torres
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Limiting Equations of Integrodifferential Equations in Banach Space
Journal of Mathematical Analysis and Applications, 1994 The authors prove that if \(x\) is a bounded continuous weak solution of the equation \[ x'(t) = A \left[ x(t) + \int_ 0^ t F(t-s) x(s) ds \right] + f(t), \quad t \geq 0, \] in a reflexive Banach space, then translates of \(x\) converge in a weak sense toward a weak solution \(y\) of the equation \[ y'(t) = A \left[ y(t) + \int_{-\infty}^ t F(t-s) y(s)
Grimmer, R., Liu, J.H.
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Electronic Journal of Qualitative Theory of Differential Equations, 2010 In this note, we obtain a new multiplicative perturbation theorem for local $C$-regularized cosine function with a nondensely defined generator $A$. An application to an integrodifferential equation is given.
Fang Li, James H. Liu
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Singular limit of an integrodifferential system related to the entropy balance
, 2014 A thermodynamic model describing phase transitions with thermal memory, in terms of an entropy equation and a momentum balance for the microforces, is adressed. Convergence results and error estimates are proved for the related integrodifferential system
Bonetti, Elena +2 more
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A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations
Journal of Applied Mathematics, 2012 This paper is concerned with a nonlocal Cauchy problem for fractional integrodifferential equations in a separable Banach space X. We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness
Fang Li +3 more
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Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the present article, an emerging subdivision‐based technique is developed for the numerical solution of linear Volterra partial integrodifferential equations (LVPIDEs) of order four with a weakly singular kernel. To approximate the spatial derivatives, the basis function of the subdivision scheme is used, whereas the time discretization is done with
Zainab Iqbal +5 more
wiley +1 more source