Results 1 to 10 of about 84 (46)
Analysis of a hyperbolic geometric model for visual texture perception. [PDF]
We study the neural field equations introduced by Chossat and Faugeras to model the representation and the processing of image edges and textures in the hypercolumns of the cortical area V1.
Faye G, Chossat P, Faugeras O.
europepmc +2 more sources
A new integral transform on time scales and its applications
Integral transform methods are widely used to solve the several dynamic equations with initial values or boundary conditions which are represented by integral equations.
H. A. Agwa+2 more
semanticscholar +2 more sources
The existence of at least one positive solution to a large class of both integer- and fractional-order nonlocal differential equations, of which one model case ...
Goodrich Christopher S.
doaj +1 more source
EXTENDED FRACTIONAL INTEGRALS, PRODUCTS AND RATIOS OF MATRICES AND STATISTICAL DISTRIBUTIONS
For two functions, Mellin convolutions of products and ratios are well-known in the literature. But these for three or more functions is not discussed extensively in the literature.
A. M. Mathai
semanticscholar +1 more source
Curvelet transform for Boehmians
By proving the required auxiliary results, two Boehmian spaces are constructed for the purpose of extending the curvelet transform to the context of Boehmian spaces. A convolution theorem for curvelet transform is proved.
Subash Moorthy Rajendran+1 more
doaj +1 more source
Fourier cosine-Laplace generalized convolution inequalities and applications
We introduce several weighted Lp(R+) -norm inequalities and integral transform related to the generalized convolution with a weight function for the Fourier cosine and Laplace transforms.
N. X. Thao, Le Xuan Huy
semanticscholar +1 more source
Square-like functions generated by the Laplace-Bessel differential operator
We introduce a wavelet-type transform associated with the Laplace-Bessel differential operator ΔB=∑k=1n∂2∂xk+2νk∂xk∂∂xk and the relevant square-like functions.
Şeyda Keleş, S. Bayrakci
semanticscholar +2 more sources
EXACT SOLUTIONS OF BOUNDARY-VALUE PROBLEMS
A survey of an approach for obtaining explicit formulae for solving local and nonlocal boundary value problems (BVPs) for some linear partial differential equations is presented. To this end an extension of the HeavisideMikusiński operational calculus is
I. Dimovski, M. Spiridonova
semanticscholar +1 more source
Boundedness of vector-valued B-singular integral operators in Lebesgue spaces
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
On the Elzaki transform and its applications in fractional free electron laser equation
This article is devoted to study Elzaki transform and its applications in Free Electron Laser equation involving Hilfer-Prabhakar fractional derivative.
Singh Yudhveer+3 more
doaj +1 more source