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Some identities involving multiplicative semiderivations on ideals
(Hacettepe Journal of Mathematics & Statistics, 2021)
Let R be a prime ring and I be a nonzero ideal of R. A mapping d : R → R is called a
multiplicative semiderivation if there exists a function g : R → R such that (i) d(xy) =
d(x)g(y)+xd(y) = d(x)y +g(x)d(y) and (ii) ...
Estimates of Classes of Generalized Special Functions and Their Application in the Fractional (k, s)-Calculus Theory
(6 October )
In this article, we aim to develop new (k, s)-fractional integral and differential operators containing S-functions as kernels in a form of generalized k-Mittag-Leffer functions. We also set up various properties of such ...
An Attractive Approach Associated with Transform Functions for Solving Certain Fractional Swift-Hohenberg Equation
(8 November)
Many phenomena in physics and engineering can be built by linear and nonlinear fractional partial differential equations which
are considered an accurate instrument to interpret these phenomena. In the current manuscript, ...
Half inverse problems for the impulsive quadratic pencil with the discontinouty coefficient
(Turkish Journal of Mathematics, 2021)
In this paper, we study the inverse spectral problem for the quadratic differential pencils with discontinuity
coefficient on [0, π] with separable boundary conditions and the impulsive conditions at the point x =
π
2
. ...
SOFT SET-VALUED MAPPINGS AND ITS APPLICATION IN DECISION MAKING PROBLEMS
(2021)
In this paper, we introduce the notion of a set-valued mapping on soft classes and study several properties of images and inverse images of soft sets supported by examples and counterexamples. Finally, these notions have ...
Spectra and fine spectra of the generalized upper difference operator with triple repetition ∆_3^ab on the Hahn sequence space
(De Gruyter, 2022)
The goal of this paper is to obtain the spectra and ne spectra of the matrix D_3âb on the Hahn space. Also, we explore some ideas of how to study the problem for a general form of the matrix, namely, the matrix D_3âb where ...
Inverse nodal problems for Dirac type integro differential system with a nonlocal boundary condition
(TUBİTAK, 2022)
In this paper, the Dirac-type integro differential system with a nonlocal integral boundary condition is
considered. First, we derive the asymptotic expressions for the solutions and large eigenvalues. Second, we provide ...
Trace Formulae for a Conformable Fractional Diffusion Operator
(Filomat, 2022)
In this paper, we obtain the regularized trace formulae for a diffusion operator, which includes
conformable fractional derivatives of order α (0 < α ≤ 1) instead of the ordinary derivatives in a traditional
diffusion ...
Multiplicative (generalized)-reverse derivations in rings and Banach algebras
(De Gruyter, 2023)
In this work, the subject of ideal in a semiprime ring with multiplicative (generalized)- reverse derivations studied is included. We give new essential results for researchers in this field and generalize some results ...
Note on Lie ideals with symmetric bi-derivations in semiprime rings
(Springer, 2023)
Let R be a semiprime ring, U a square-closed Lie ideal of R and D : R x R -> R a symmetric bi-derivation and d be the trace of D. In the present paper, we prove that the R contains a nonzero central ideal if any one of the ...