Results 11 to 20 of about 216,973 (262)
Differential equations involving fractional order operators appear frequently in various research areas. Solving a differential equation containing a fractional derivative is very difficult.
Kamran +4 more
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An Approximate Solution of the Time-Fractional Two-Mode Coupled Burgers Equation
In this paper, we consider the time-fractional two-mode coupled Burgers equation with the Caputo fractional derivative. A modified homotopy perturbation method coupled with Laplace transform (He-Laplace method) is applied to find its approximate ...
Rachana Shokhanda +3 more
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Solving Intuitionistic Fuzzy Transport Equations by Intuitionistic Fuzzy Laplace Transforms [PDF]
In this paper, we use an intuitionistic fuzzy Laplace transforms for solving intuitionistic fuzzy hyperbolic equations precisely the transport equation with intuitionistic fuzzy data under strongly generalized H-differentiability concept.
Belhallaj Zineb +3 more
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In this study, the strong and weak forms of Darcy flow equation has been derived. The final obtained equation is Laplace partial differential equation. For total head evaluation, Laplace equation is solved using exact solution depending on Fourier series
Aram Mohammed Raheem
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Four-Dimensional N=2(4) Superstring Backgrounds and The Real Heavens [PDF]
We study N=2(4) superstring backgrounds which are four-dimensional non-\Kahlerian with non-trivial dilaton and torsion fields. In particular we consider the case that the backgrounds possess at least one $U(1)$ isometry and are characterized by the ...
SAKAGUCHI, Makoto
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Path Laplacian operators and superdiffusive processes on graphs. I. One-dimensional case [PDF]
We consider a generalization of the diffusion equation on graphs. This generalized diffusion equation gives rise to both normal and superdiffusive processes on infinite one-dimensional graphs.
Estrada, Ernesto +3 more
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The Solution of Generalization of the First and Second Kind of Abel’s Integral Equation
Integral equations are equations in which the unknown function is found to be inside the integral sign. N. H. Abel used the integral equation to analyze the relationship between kinetic energy and potential energy in a falling object, expressed by two ...
Muhammad Taufik Abdillah +2 more
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Confluence of meromorphic solutions of q-difference equations [PDF]
In this paper, we consider a q-analogue of the Borel-Laplace summation where q>1 is a real parameter. In particular, we show that the Borel-Laplace summation of a divergent power series solution of a linear differential equation can be uniformly ...
Dreyfus, Thomas
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Multipole matrix elements of Green function of Laplace equation [PDF]
Multipole matrix elements of Green function of Laplace equation are calculated. The multipole matrix elements of Green function in electrostatics describe potential on a sphere which is produced by a charge distributed on the surface of a different ...
Górka, Przemysław, Makuch, Karol
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If $B$ and $f(B)$ are Brownian motions, then $f$ is affine [PDF]
It is shown that if the processes $B$ and $f(B)$ are both Brownian motions (without a random time change) then $f$ must be an affine function. As a by-product of the proof, it is shown that the only functions which are solutions to both the Laplace ...
Tehranchi, Michael R.
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