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Integral Transforms and Dual Integral Equations to Solve Heat Equation with Mixed Conditions
International Journal of Open Problems in Computer Science and Mathematics, 2014The paper is devoted to determine the solution of the non-stationary heat equation in a non axial symmetric cylindrical coordinates subject to mixed discontinuous boundary conditions of the second kind and third kinds, with the aid of a finite Fourier transform and dual integral equations method. The solution of the given mixed problem is introduced to
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Integral Equations and Integral Transforms
2023Sudeshna Banerjea, Birendra Nath Mandal
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Complex SEE integral transform in solving Abel’s integral equation
Journal of Interdisciplinary Mathematics, 2022Eman A. Mansour +2 more
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Reduced Hilbert transforms and singular integral equations
Journal d'Analyse Mathématique, 1964Reduced Hilbert transforms are obtained by restricting the variable x and the domain of integration in (1) to a subset R ' (or two different subsets) of R. The case R' = R+, the positive half-line, is studied here in detail. In this case the theory becomes quite simple after we prove in Section 1 suitable diagonalization formulas.
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Analytic functions Integral transforms Differential equations
2015TOMARELLI, FRANCO +2 more
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A general class of integral transforms and an expression for their convolution formulas
Integral Transforms and Special Functions, 2022Marianito R Rodrigo
exaly
On (p,q)-Analogues of Laplace-Typed Integral Transforms and Applications
Symmetry, 2021Sansumpan Jirakulchaiwong +2 more
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Evaluation of integral transforms using special functions with applications to biological tissues
Computational and Applied Mathematics, 2021Talha Usman, Abdelmajid Belafhal
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