Results 71 to 80 of about 160,624 (315)
Solution of boundary value problems for batteries: Operator‐theoretic methods
AIChE Journal, EarlyView.Abstract Batteries with porous electrodes of negligible ionic and electronic conduction resistance are modeled with reaction‐diffusion equations in multilayered media. The classical separation of variables becomes inapplicable to battery problems because of nonlinearities in reaction rates and constraints of imposed current. A linear operator‐theoretic
Doraiswami Ramkrishna +1 more
wiley +1 more source
Certain Inversion Formulas for the Laplace Transform [PDF]
, 1950 Dennis B. Ames
openalex +2 more sources
A modified Laplace transform for certain generalized fractional operators [PDF]
Results in Nonlinear Analysis, 2018 It is known that Laplace transform converges for functions of exponential order. In order to extend the possibility of working in a large class of functions, we present a modified Laplace transform that we call ρ-Laplace transform, study its properties
Fahd Jarad, Thabet Abdeljawad
doaj
Journal of Inequalities and Applications, 2018 By utilizing the concept of generalized order, we investigate the growth of Laplace–Stieltjes transform converging in the half plane and obtain one equivalence theorem concerning the generalized order of Laplace–Stieltjes transforms.
Hong Yan Xu, Hua Wang
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Bioinspired Moisture‐Driven Soft Robotic Actuator
Advanced Intelligent Systems, EarlyView.In response to the evolving field of robotics, the demand for soft actuator materials has surged, prompting a shift toward biomimetic models, notably plant‐based actuators. The Arundo donax species exemplifies a unique hinged single‐unit actuation system and a combined mechanism utilizing atmospheric water content, offering multifunctional capabilities.
Akshay Balachandran +5 more
wiley +1 more source
Stochastic Hydrodynamic Velocity Field and the Representation of Langevin Equations
Annalen der Physik, EarlyView.A lumped method is proposed to account for both mean‐field hydrodynamics and stochastic fluctuations within the kinematic equations of motion, providing a regularized formulation of the overdamped approximation. The concept of stochastic realizability in broad sense is introduced based on the spectral properties of the Fredholm operator associated with
Massimiliano Giona +2 more
wiley +1 more source
\(L_p\)-boundedness of the Laplace transform
CuboIn this paper, we discuss about the boundedness of the Laplace transform \(\mathcal{L}: L_p([0,\infty))\rightarrow L_p(A)\) (\(p\geq1\)) for the cases \(A=[0, \infty)\), \(A=[1, \infty)\) and \(A=[0, 1]\).
René Erlín Castillo +2 more
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Solving Fractional Difference Equations Using the Laplace Transform Method
Abstract and Applied Analysis, 2014 We discuss the Laplace transform of the Caputo fractional difference and the fractional discrete Mittag-Leffer functions. On these bases, linear and nonlinear fractional initial value problems are solved by the Laplace transform method.
Li Xiao-yan, Jiang Wei
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The Laplace transform of the digamma function: an integral due to Glasser, Manna and Oloa [PDF]
arXiv, 2007 We provide an analytic expression for the Laplace transform of the digamma fuction. This complements work of L. Glasser, D. Manna and O. Oloa on this question. The Laplace transform is continuous in the Laplace-variable a. The derivative admits a jump at a= ln 2.
arxiv
Numerical Linear Algebra with Applications, Volume 30, Issue 1, January 2023., 2023 Abstract In this work, we focus on a fractional differential equation in Riesz form discretized by a polynomial B‐spline collocation method. For an arbitrary polynomial degree p$$ p $$, we show that the resulting coefficient matrices possess a Toeplitz‐like structure. We investigate their spectral properties via their symbol and we prove that, like for
Mariarosa Mazza +3 more
wiley +1 more source