Results 61 to 70 of about 2,202,041 (252)

\(L_p\)-boundedness of the Laplace transform

Cubo
In 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, Héctor Camilo Chaparro, Julio César Ramos-Fernández   +2 more
doaj   +1 more source

SOME EXTENDED MUTUAL RELATIONSHIPS BETWEEN THE CONVOLUTIONS TRANSFORM [PDF]

Journal of Mechanics of Continua and Mathematical Sciences
In this paper, we establish several interesting mutual relationships between two integral transforms of convolutions transform have been ...
A. K. Thakur, Amar Pandey, Hetram Suryawanshi, Anjali Dubey   +3 more
doaj   +1 more source

INITIAL BOUNDARY VALUE PROBLEM FOR FRACTAL HEAT EQUATION IN THE SEMI-INFINITE REGION BY YANG-LAPLACE TRANSFORM

, 2014
Short paper DOI: 10.2298/TSCI130901152Z Analytical solution of transient heat conduction through a semi-infinite fractal medium is developed. The solution focuses on application of a local fractional derivative operator to model the heat transfer process
Yu-Zhu Zhang, Aimin Yang, Yue Long
semanticscholar   +1 more source

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  

Realized Laplace transforms for pure-jump semimartingales

, 2012
We consider specification and inference for the stochastic scale of discretely-observed pure-jump semimartingales with locally stable L\'{e}vy densities in the setting where both the time span of the data set increases, and the mesh of the observation ...
Tauchen, George, Todorov, Viktor
core   +1 more source

The Yang-Laplace Transform for Solving the IVPs with Local Fractional Derivative

, 2014
The IVPs with local fractional derivative are considered in this paper. Analytical solutions for the homogeneous and nonhomogeneous local fractional differential equations are discussed by using the Yang-Laplace transform.
Chunxue Zhao, Aimin Yang, H. Jafari, A. HaghBin   +3 more
semanticscholar   +1 more source

SEE Transform Technique in Control Theory

Journal of Kufa for Mathematics and Computer
As in the Laplace transform technique, a new integral technique called SEE (Sadiq-Emad-Eman) transform is submitted. Showed propositions and important properties of SEE integral technique for differentiate of functions and showed shifting property for ...
nour kareem, Emad Kuffi, Eman Mansour, Ahmad Jalal Issa   +3 more
doaj   +1 more source

The growth and approximation for an analytic function represented by Laplace–Stieltjes transforms with generalized order converging in the half plane

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
doaj   +1 more source

The Exit Time and the Dividend Value Function for One-Dimensional Diffusion Processes

Abstract and Applied Analysis, 2013
We investigate the exit times from an interval for a general one-dimensional time-homogeneous diffusion process and their applications to the dividend problem in risk theory. Specifically, we first use Dynkin’s formula to derive the ordinary differential
Peng Li, Chuancun Yin, Ming Zhou
doaj   +1 more source

Laplace transform of fractional order differential equations

Electronic Journal of Differential Equations, 2015
In this article, we show that Laplace transform can be applied to fractional system. To this end, solutions of linear fractional-order equations are first derived by a direct method, without using Laplace transform.
Song Liang, Ranchao Wu, Liping Chen
doaj