Results 21 to 30 of about 307 (63)
New integral transform: Shehu transform a generalization of Sumudu and Laplace transform for solving differential equations [PDF]
, 2019 In this paper, we introduce a Laplace-type integral transform called the Shehu transform which is a generalization of the Laplace and the Sumudu integral transforms for solving differential equations in the time domain. The proposed integral transform is
Maitama, Shehu, Zhao, Weidong
core +3 more sources
A note on some spaces Lγ of distributions with Laplace transform
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 2, Page 243-246, 1990., 1990 In this paper we calculate the dual of the spaces of distributions Lγ introduced in [1]. Then we prove that Lγ is the dual of a subspace of C∞(ℝ).
Salvador Pérez Esteva
wiley +1 more source
Recovery the interior temperature of a nonhomogeneous elliptic equation from boundary data
Journal of Inequalities and Applications, 2014 We consider the problem of finding a function u from the boundary data u(x,1) and uy(x,1), satisfying a nonhomogeneous elliptic equation Δu=f(x,y),x∈R ...
Tuan H. Nguyen, B. T. Tran
semanticscholar +2 more sources
Boundedness of vector-valued B-singular integral operators in Lebesgue spaces
Open Mathematics, 2017 We study the vector-valued B-singular integral operators associated with the Laplace-Bessel differential operator △B=∑k=1n−1∂2∂xk2+(∂2∂xn2+2vxn∂∂xn),v>0. $$\triangle_{B}=\sum\limits_{k=1}^{n-1}\frac{\partial^{2}}{\partial x_{k}^{2}}+(\frac{\partial^{2}}{\
Keles Seyda, Omarova Mehriban N.
doaj +1 more source
A direct extension of Meller′s calculus
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 4, Page 785-791, 1982., 1982 This paper extends the operational calculus of Meller for the operator to the case where α ∈ (0, ∞). The development is àla Mikusinski calculus and uses Meller′s convolution process with a fractional derivative operator.
E. L. Koh
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 1, Issue 2, Page 145-159, 1978., 1978 Recently [8], an operational calculus for the operator Bμ = t−μDt1+μD with −1 < μ < ∞ was developed via the algebraic approach [4], [13], [15]. This paper gives the integral transform version. In particular, a differentiation theorem and a convolution theorem are proved.
J. Conlan, E. L. Koh
wiley +1 more source
Stochastic processes via the pathway model [PDF]
, 2014 After collecting data from observations or experiments, the next step is to build an appropriate mathematical or stochastic model to describe the data so that further studies can be done with the help of the models. In this article, the input-output type
Haubold, H. J., Mathai, A. M.
core +2 more sources
, 2018 In this paper, we investigate some reverse weighted Lp -norm ( p > 1) inequalities for convolutions related to Kontorovich-Lebedev, Fourier cosine transforms. A class of intergrodiffirential equations involing in Bessel operator are considered.
P. Hoang
semanticscholar +1 more source
Inversion Formulas for the Dunkl Intertwining Operator and Its Dual on Spaces of Functions and Distributions [PDF]
, 1998 In this paper we prove inversion formulas for the Dunkl intertwining operator $V_k$ and for its dual ${}^tV_k$ and we deduce the expression of the representing distributions of the inverse operators $V_k^{-1}$ and ${}^tV_k^{-1}$, and we give some ...
Broglia, R.A. +4 more
core +6 more sources
, 2017 Quantitative Shapiro’s dispersion uncertainty principle and umbrella theorem are proved for the windowed Fourier transform associated with the Riemann-Liouville operator. Mathematics subject classification (2010): 42A38, 44A35.
A. Hammami
semanticscholar +1 more source