in this research, the effects of temperature, time and grinding on the types of phases in the calcined kaolin and calcite mixture was investigated. differential thermal analysis (dta) and x-ray diffraction of samples showed that gehlenite is formed at 990 ˚c as the main phase which transforms into anorthite with an increase in the temperature to 1200 ˚c. after grinding the mixture and with incr...

This monograph gives a systematic account of the theory of vector-valued Laplace transforms, ranging from representation theory to Tauberian theorems. In parallel, the theory of linear Cauchy problems and semigroups of operators is developed completely in the spirit of Laplace transforms. Existence and uniqueness, regularity, approximation and above all asymptotic behaviour of solutions are stu...

We shall discuss three methods of inverse Laplace transforms. A Sinc-Thiele approximation, a pure Sinc, and Sinc-Gaussian based method. The two last Sinc related are exact transforms which allow us numerical approximation using methods. transform converges exponentially does not use Bromwich contours for computations. apply the to Mittag-Leffler functions incorporating one, two, parameters. par...

An important class of fractional differential and integral operators is given by the theory calculus with respect to functions, sometimes called ?-fractional calculus. The operational approach has proved useful for understanding extending this topic study. Motivated equations, we present an Laplace transforms functions their relationship functions. This makes generalised much easier analyse app...

Recently, Shehu has introduced an integral transform called transform, which generalizes the two well-known integrals transforms, i.e. Laplace and Sumudu transform. In literature, many transforms were used to compute solution of integro-differential equations (IDEs). this article, for first time, we use computation $n^{\text{th}}$-order IDEs. We present a general scheme give some examples with ...

We study the hydrodynamic limits of three kinds one-dimensional stochastic log-gases known as Dyson's Brownian motion model, its chiral version, and Bru-Wishart process studied in dynamical random matrix theory. define measure-valued processes so that their Cauchy transforms solve complex Burgers-type equations. show applications method characteristic curves to these partial differential equati...

We introduce integral transforms to study problems for the singular Bessel differential operators B−γ with negative parameter −γ < 0. A solution equation B−γu+u = 0 is a function u

In this paper, we establish (p,q)-analogues of Laplace-type integral transforms by using the concept (p,q)-calculus. Moreover, study some properties and apply them to solve (p,q)-differential equations.

We defined in Ellingsen et al. (2020) a new multiplicative c-differential, and the corresponding c-differential uniformity we characterized known perfect nonlinear functions with respect to this concept, as well inverse function any characteristic. Here, extend, via differential, boomerang introduced at Eurocrypt ’18 by Cid (2018), differential distinguisher of S-boxes block ciphers. investigat...

We generalize the notions of harmonic conjugate functions and Hilbert transforms to higher dimensional euclidean spaces, in the setting of differential forms and the Hodge-Dirac system. These harmonic conjugates are in general far from being unique, but under suitable boundary conditions we prove existence and uniqueness of conjugates. The proof also yields invertibility results for a new class...