Results 11 to 20 of about 493 (95)
Abstract and Applied AnalysisMSC2020 Classification: 26A33, 33B15, 33C05, 33C20, 44A10, 44A20.
S. Chandak +2 more
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Shehu Integral Transform and Hyers-Ulam Stability of nth order Linear Differential Equations
Scientific African, 2022 In this paper, we establish the Shehu transform expression for homogeneous and non-homogeneous linear differential equations. With the help of this new integral transform, we solve higher order linear differential equations in the Shehu sense.
Vediyappan Govindan +5 more
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Can transfer function and Bode diagram be obtained from Sumudu transform
Alexandria Engineering Journal, 2020 In the last past year researchers have relied on the ability of Laplace transform to solve partial, ordinary linear equations with great success. Important analysis in signal analysis including the transfer function, Bode diagram, Nyquist plot and ...
Abdon Atangana, Ali Akgül
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Results on analytic functions defined by Laplace-Stieltjes transforms with perfect ϕ-type
Open Mathematics, 2020 In this paper, we introduce the concept of the perfect ϕ\phi -type to describe the growth of the maximal molecule of Laplace-Stieltjes transform by using the more general function than the usual.
Liu Simin +3 more
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On fractional kinetic equations k-Struve functions based solutions
Alexandria Engineering Journal, 2018 In the present research article, we investigate the solutions for fractional kinetic equations, involving k-Struve functions, some of the salient properties of which we present. The method used is Laplace transform based.
Kottakkaran Sooppy Nisar +2 more
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Laplace - Fibonacci transform by the solution of second order generalized difference equation
Nonautonomous Dynamical Systems, 2017 The main objective of this paper is finding new types of discrete transforms with tuning factor t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace-Fibonacci transform (LFt). This type of Laplace-Fibonacci transform
Pinelas Sandra +3 more
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Multiscale Estimation of Cell Kinetics
Computational and Mathematical Methods in Medicine, Volume 11, Issue 3, Page 239-254, 2010., 2010 We introduce a methodology based on the Luria–Delbrück fluctuation model for estimating the cell kinetics of clonally expanding populations. In particular, this approach allows estimation of the net cell proliferation rate, the extinction coefficient and the initial (viable) population size.
Larry W. Jean +3 more
wiley +1 more source
The axisymmetric Boussinesq‐type problem for a half‐space under optimal heating of arbitrary profile
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 40, Page 2123-2131, 2004., 2004 A solution of the axisymmetric Boussinesq‐type problem is derived for transient thermal stresses in a half‐space under heating by using the Laplace and Hankel transforms. An analytical method is developed to predict the temperature field that satisfies the prescribed mechanical conditions.
J. Rokne +3 more
wiley +1 more source
Distributional versions of Littlewood's Tauberian theorem [PDF]
, 2010 We provide several general versions of Littlewood's Tauberian theorem. These versions are applicable to Laplace transforms of Schwartz distributions. We apply these Tauberian results to deduce a number of Tauberian theorems for power series where Ces\`{a}
A. E. Ingham +27 more
core +4 more sources
Mathematical Problems in Engineering, Volume 2004, Issue 3, Page 185-195, 2004., 2004 This paper presents an integral solution of the generalized one‐dimensional equation of energy transport with the convective term.The solution of the problem has been achieved by the use of a novel technique that involves generalized derivatives (in particular, derivatives of noninteger orders).
Vladimir V. Kulish
wiley +1 more source