Results 31 to 40 of about 78,557 (229)
Results in Physics, 2023 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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Advances in Mathematical Physics, 2020 In this paper, the rational spectral method combined with the Laplace transform is proposed for solving Robin time-fractional partial differential equations.
Lufeng Yang
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, 2014 This article proves the uniqueness for two kinds of inverse problems of identifying fractional orders in diffusion equations with multiple time-fractional derivatives by pointwise observation. By means of eigenfunction expansion and Laplace transform, we
Li, Zhiyuan, Yamamoto, Masahiro
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On sensitivity analysis of parameters for fractional differential equations with Caputo derivatives
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we discuss the effect of parameter variations on the performance of fractional differential equations and give the concept of fractional sensitivity functions and fractional sensitivity equations.
Yuxiang Guo, Baoli Ma, Ranchao Wu
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AIMS Mathematics, 2020 This work aims to approximate the solution of the linear time-fractional Klein-Gordon equations in Caputo’s sense. The Laplace transform is applied to linear time fractional Klein-Gordon equation to eliminate the time variable and avoid the time stepping
Xiangmei Li +3 more
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Mathematics, 2016 In a series of papers, we discussed the solution of Laplace’s differential equation (DE) by using fractional calculus, operational calculus in the framework of distribution theory, and Laplace transform.
Tohru Morita, Ken-ichi Sato
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Analysis of Deflection in Visco-Thermoelastic Beam Resonators Subjected to Harmonic Loading
International Journal of Applied Mechanics and Engineering, 2022 This paper analyses the transverse deflection in a homogeneous, isotropic, visco-thermoelastic beam when subjected to harmonic load. The ends of the beam are considered at different boundary conditions (both axial ends clamped, both axial ends simply ...
Deepti Chopra, Prince Singh
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Quadrature Integration Techniques for Random Hyperbolic PDE Problems
Mathematics, 2021 In this paper, we consider random hyperbolic partial differential equation (PDE) problems following the mean square approach and Laplace transform technique. Randomness requires not only the computation of the approximating stochastic processes, but also
Rafael Company +2 more
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On An Inversion Formula For The Laplace Transformation, II [PDF]
Canadian Journal of Mathematics, 1955 In an earlier paper (3) we discussed at some length a certain inversion operator for the Laplace transformation. IfI then the inversion operator is given byII ,and we showed that if v > — 1, then under certain conditions.
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A modal approach for the solution of the non-linear induction problem in ferromagnetic media
, 2016 The non-linear induction problem in ferromagnetic media is solved using the fixed-point iteration method, where the linearized problem at each iteration is treated by means of a modal approach.
Skarlatos, Anastassios +1 more
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