Results 51 to 60 of about 40,062 (237)
Arab Journal of Basic and Applied SciencesThis article considers a Volterra-Fredholm integro-differential equation including multiple time-varying delays. The aim of this article is to study the uniqueness of solution, the Ulam–Hyers–Rassias stability and the Ulam–Hyers stability of the Volterra-
Cemil Tunç, Osman Tunç
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Size Effect on Photothermal Heating Ability of Gold Bipyramids
Advanced Optical Materials, EarlyView.Gold bipyramids with identical spectral characteristics exhibits opposite volume‐dependent photo‐thermal heating at single‐particle versus collective scales. The thermal energy can be used to generate mechanical work by powering Stirling engine. Abstract Gold nanoparticles (AuNPs) exhibit photothermal properties that are fundamental to biomedical and ...
Aadesh Mohan Naik +7 more
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Regularity theory for fully nonlinear integro-differential equations [PDF]
, 2008 We consider nonlinear integro-differential equations, like the ones that arise from stochastic control problems with purely jump L\`evy processes.
Caffarelli, Luis, Silvestre, Luis
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On integro-differential equations in Banach spaces [PDF]
Pacific Journal of Mathematics, 1967 INTEGRO-DIFFERENTIAL EQUATIONS 101 2* Existence and uniqueness of a strong solution of the homogeneous problem (I)* Let A be a closed linear operator on a Banach space X to itself with domain &(A) dense in 36 and let @(3£) be the Banach algebra of all bounded linear transformations on X to itself.
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On $$L_p$$-solvability of stochastic integro-differential equations [PDF]
Stochastics and Partial Differential Equations: Analysis and Computations, 2020 AbstractA class of (possibly) degenerate stochastic integro-differential equations of parabolic type is considered, which includes the Zakai equation in nonlinear filtering for jump diffusions. Existence and uniqueness of the solutions are established in Bessel potential spaces.
István Gyöngy, Sizhou Wu
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Output feedback robust stabilization of distributed‐order systems
Asian Journal of Control, EarlyView.Abstract This paper addresses the challenge of robust fast stabilization for a class of dynamical systems characterized by slow and ultra‐slow dynamics. The system model is approximated using a distributed‐order derivative of the measured output, which captures the influence of the control input, system dynamics, and external disturbances.
Aldo Jonathan Muñoz‐Vázquez +3 more
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Abstract and Applied Analysis, 2012 We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. Through the comparison of approximate and true solution,
Xueqin Lv, Yue Gao
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A hybrid technique for approximating the solution of fractional order integro differential equations
Partial Differential Equations in Applied Mathematics, 2023 In this article, we present an effective approach for solving nonlinear fractional order integro-differential equations. The fractional order derivative will be in the Caputo sense.
Noor A. Abdulhameed +2 more
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On the perturbation of Volterra integro-differential equations
Applied Mathematics Letters, 2013 Abstract In this work, we will prove that every solution of a perturbed Volterra integro-differential equation can be approximated by a solution of the Volterra integro-differential equation.
Jung, Soon-Mo +2 more
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Asian Journal of Control, EarlyView.Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
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