Results 21 to 30 of about 98 (93)
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
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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
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Laplace transform generation theorems and local Cauchy problems
Abstract and Applied Analysis, Volume 2004, Issue 1, Page 69-90, 2004., 2004 We give new criterions to decide if some vector‐valued function is a local Laplace transform and apply this to the theory of local Cauchy problems. This leads to an improvement of known results and new Hille‐Yosida‐type theorems for local convoluted semigroups.
Claus Müller
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Analytical investigations of the Sumudu transform and applications to integral production equations
Mathematical Problems in Engineering, Volume 2003, Issue 3, Page 103-118, 2003., 2003 The Sumudu transform, whose fundamental properties are presented in this paper, is little known and not widely used. However, being the theoretical dual to the Laplace transform, the Sumudu transform rivals it in problem solving. Having scale and unit‐preserving properties, the Sumudu transform may be used to solve problems without resorting to a new ...
Fethi Bin Muhammed Belgacem +2 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2003, Issue 4, Page 173-179, 2003., 2003 The relationship between the local temperature and the local heat flux has been established for the homogeneous hyperbolic heat equation. This relationship has been written in the form of a convolution integral involving the modified Bessel functions.
Vladimir V. Kulish, Vasily B. Novozhilov
wiley +1 more source
On q-Laplace Transforms of the q-Bessel Functions [PDF]
, 2007 Mathematics Subject Classification: 33D15, 44A10, 44A20The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions.
Purohit, S., Kalla, S.
core
Some Solutions of Hilfer Fractional Volterra Integral Equations by Using Pathway‐Type Transform
International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.The Pathway‐type Pε‐transform technique has been introduced as a versatile binomial transform encompassing various classes, including the classical Laplace transform. In this paper, we apply this technique to derive solutions for fractional Volterra integral equations (FVIEs) and fractional Abel–Volterra integral equations (FAVIEs) that involve Hilfer ...
Faten H. Damag +5 more
wiley +1 more source
Abelian theorems for transformable Boehmians
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 3, Page 489-496, 1994., 1993 A class of generalized functions called transformable Boehmians contains a proper subspace that can be identified with the class of Laplace transformable distributions. In this note, we establish some Abelian theorems for transformable Boehmians.
Dennis Nemzer
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.Fractional differential equations (FDEs) have received a lot of interest because of their diverse applications in engineering, mathematical physics, chemistry, and biology. This study introduces a new family of fractional integral operators using incomplete R‐function kernels, advancing the theoretical foundation of FDEs further.
Priti Purohit +4 more
wiley +1 more source
Associated transforms for solution of nonlinear equations
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 1, Page 177-190, 1991., 1991 Nonlinear multivariable differential or integrodifferential equations with terms of mixed dimensionality can be solved using multidimensional Laplace transform. The special technique used to find the inverse of the multidimensional Laplace transform is known as the association of variables.
Joyati Debnath, Narayan C. Debnath
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