Results 11 to 20 of about 525,402 (86)
Fractional Calculus in Russia at the End of XIX Century
Mathematics, 2021 In this survey paper, we analyze the development of Fractional Calculus in Russia at the end of the XIX century, in particular, the results by A. V. Letnikov, N. Ya. Sonine, and P. A. Nekrasov.
Sergei Rogosin, Maryna Dubatovskaya
doaj +1 more source
Operational Calculus for the General Fractional Derivatives of Arbitrary Order
Mathematics, 2022 In this paper, we deal with the general fractional integrals and the general fractional derivatives of arbitrary order with the kernels from a class of functions that have an integrable singularity of power function type at the origin.
Maryam Al-Kandari +2 more
doaj +1 more source
A Class of Integral Operators and Bessel Plancherel Transform on Lα2
Journal of Function Spaces, Volume 2012, Issue 1, 2012., 2012 For the relation between Bessel Plancherel transform and a wide class of integral operators we establish some results generalizing the corresponding results for the cosine transform, given by Goldberg (1972) and Titchmarsh (1937). Building on these results we obtain a new properties of certain well‐known integral transforms associated with the ...
M. Dziri, Pankaj Jain
wiley +1 more source
The dual integral equation method in hydromechanical systems
Journal of Applied Mathematics, Volume 2004, Issue 6, Page 447-460, 2004., 2004 Some hydromechanical systems are investigated by applying the dual integral equation method. In developing this method we suggest from elementary appropriate solutions of Laplace′s equation, in the domain under consideration, the introduction of a potential function which provides useful combinations in cylindrical and spherical coordinates systems ...
N. I. Kavallaris, V. Zisis
wiley +1 more source
Integral equations of the first kind of Sonine type
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 57, Page 3609-3632, 2003., 2003 A Volterra integral equation of the first kind Kφ(x):≡∫−∞xk(x−t)φ(t)dt=f(x) with a locally integrable kernel k(x)∈L1loc(ℝ+1) is called Sonine equation if there exists another locally integrable kernel ℓ(x) such that ∫0xk(x−t)ℓ(t)dt≡1 (locally integrable divisors of the unit, with respect to the operation of convolution). The formal inversion φ(x)=(d/dx)
Stefan G. Samko, Rogério P. Cardoso
wiley +1 more source
A variant of Cowling–Price's and Miyachi's theorems for the Bessel–Struve transform on ℝd
Journal of Taibah University for Science, 2018 In this paper, we consider the Bessel–Struve transform on $ \mathbb {R}^{d} $ . We establish new versions of Cowling–Price's and Miyachi's theorems for the Bessel–Struve transform on $ \mathbb {R}^{d} $ .
Hatem Mejjaoli, Khalifa Trimèche
doaj +1 more source
A note on Bessel function dual integral equation with weight function
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 543-549, 1988., 1987 An elementary procedure based on Sonine′s integrals has been used to reduce dual integral equations with Bessel functions of different orders as kernels and an arbitrary weight function to a Fredholm integral equation of the second kind. The result obtained here encompasses many results concerning dual integral equations with Bessel functions as ...
B. N. Mandal
wiley +1 more source
Maximum kernel likelihood estimation [PDF]
, 2008 We introduce an estimator for the population mean based on maximizing likelihoods formed by parameterizing a kernel density estimate. Due to these origins, we have dubbed the estimator the maximum kernel likelihood estimate (mkle). A speedy computational
Jaki, Thomas, West, R. Webster
core +4 more sources
Contact problem of torsion of a multilayer base with elastic connections between layers
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 Torsion of a multilayer base with elastic connections between layers by cylindrical punch with a flat sole was considered. The Hankel integral transform of the first order and the method of the compliance functions were used.
Nina N Antonenko, Igor G Velichko
doaj +1 more source
Symmetrical Sonin kernels in terms of the hypergeometric functions
, 2023 In this paper, we introduce a new class of the kernels of the integral transforms of the Laplace convolution type that we call symmetrical Sonin kernels. For a symmetrical Sonin kernel given in terms of some elementary or special functions, its associated kernel has the same form with possibly different parameter values.
openaire +2 more sources