Results 21 to 30 of about 11,466,083 (284)
Demonstratio Mathematica, 2023 Recently, integral transforms are a powerful tool used in many areas of mathematics, physics, engineering, and other fields and disciplines. This article is devoted to the study of one important integral transform, which is called the modified degenerate
Almalki Yahya +2 more
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General convolutions of integral transforms and their application to ode and PDE problems
Mathematical Modelling and Analysis, 2006 The present research is devoted to some polyconvolutions generated by various integral transforms. For example, we study convolutions of the Hankel transform with the following factorization properties: where Hv[f] (x) is the Hankel transform.
L. E. Britvina
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New generalized Pólya–Szegö and Čebyšev type inequalities with general kernel and measure
Advances in Difference Equations, 2020 It is always attractive and motivating to acquire the generalizations of known results. In this article, we introduce a new class C ( h ) $\mathfrak{C(h)}$ of functions which can be represented in a form of integral transforms involving general kernel ...
S. Iqbal +5 more
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Axisymmetric solutions to Einstein field equations via integral transforms
Heliyon, 2023 In this paper, we present new axisymmetric and reflection symmetric vacuum solutions to the Einstein field equations. They are obtained using the Hankel integral transform method and all three solutions exhibit naked singularities.
D. Batic, N.B. Debru, M. Nowakowski
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A Constructive Approach to Generalized Integral Transforms
Journal of Mathematical Analysis and Applications, 1996 In this interesting work, the authors show that distributional versions of several classical integral transforms can be related (and developed) to functions of a particular normal operator which is defined by means of a spectral integral. By suitably defining, the test function space and corresponding space of generalized functions, a particular normal
Baptiste, F., Lamb, W., McGhee, D.F.
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On the finite Fourier transforms of functions with infinite discontinuities
International Journal of Mathematics and Mathematical Sciences, 2002 The introductory part of the paper is provided to give a brief review of the stability theory of a matrix pencil for discrete linear time-invariant singular control systems, based on the causal relationship between Jordan's theorem from the theory of ...
Branko Saric
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Integral Transform Methods for Solving Fractional Dynamic Equations on Time Scales
Abstract and Applied Analysis, 2014 We introduce nabla type Laplace transform and Sumudu transform on general time scale. We investigate the properties and the applicability of these integral transforms and their efficiency in solving fractional dynamic equations on time scales.
Mohamad Rafi Segi Rahmat
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Dual integral equations involving Weber-Orr transforms
International Journal of Mathematics and Mathematical Sciences, 1991 In this paper we consider dual integral equations involving inverse Weber-Orr transforms of the type Wν−k,ν−1[;], k=0,1,…. A general solution is established using elementary methods. Many known results are derived as special cases.
C. Nasim
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Mellin transforms of generalized fractional integrals and derivatives [PDF]
Applied Mathematics and Computation, 2015 We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives. We also obtain interesting results, which combine generalized $δ_{r,m}$ operators with generalized Stirling numbers and Lah numbers.
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Fractionalization of the linear cyclic transforms
, 2000 In this study the general algorithm for the fractionalization of the linear cyclic integral transforms is established. It is shown that there are an infinite number of continuous fractional transforms related to a given cyclic integral transform.
Calvo, M.L., Alieva, T.
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