Results 11 to 20 of about 79,186 (232)
Effects of the ARA transform method for time fractional problems [PDF]
The aim of this study is to establish the solutions of time fractional mathematical problems with the aid of new integral transforms called the ARA transform. The fractional derivative is taken in the sense of Liouville-Caputo derivative.
Çetınkaya Süleyman, Demir Ali
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A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol ...
Dimple Rani, Vinod Mishra
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The Generalized Stieltjes Transform and Its Inverse [PDF]
The generalized Stieltjes transform (GST) is an integral transform that depends on a parameter $\rho > 0$. In previous work a convenient form of the inverse transformation was derived for the case $\rho = 3/2$. This paper generalizes that result to all $\
Schwarz, John H.
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Modified Sumudu Transform and Its Properties
Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations.
Uğur Duran
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SOME EXTENDED MUTUAL RELATIONSHIPS BETWEEN THE CONVOLUTIONS TRANSFORM [PDF]
In this paper, we establish several interesting mutual relationships between two integral transforms of convolutions transform have been ...
A. K. Thakur +3 more
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The present work focuses on formulating a numerical scheme for approximation of Volterra integral equations with highly oscillatory Bessel kernels. The application of Laplace transform reduces integral equations into algebraic equations.
Marjan Uddin, Muhammad Taufiq
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Transient MHD Convective Flow of Fractional Nanofluid between Vertical Plates [PDF]
Effects of the uniform transverse magnetic field on the transient free convective flows of a nanofluid with generalized thermal transport between two vertical parallel plates have been analyzed.
Najma Ahmed +5 more
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Discrete dipole approximation in time domain through the Laplace transform [PDF]
We present a form of the discrete dipole approximation for electromagnetic scattering computations in time domain. We show that the introduction of complex frequencies, through the Laplace transform, significantly improves the computation time.
Belkebir, K +4 more
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Laplace transform of spherical Bessel functions [PDF]
We provide a simple analytic formula in terms of elementary functions for the Laplace transform j_{l}(p) of the spherical Bessel function than that appearing in the literature, and we show that any such integral transform is a polynomial of order l in ...
A Ludu +7 more
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Numerical Approximation of Fractional-Order Volterra Integrodifferential Equation
Laplace transform is a powerful tool for solving differential and integrodifferential equations in engineering sciences. The use of Laplace transform for the solution of differential or integrodifferential equations sometimes leads to the solutions in ...
Xiaoli Qiang +3 more
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