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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 ...
Fixed Points of Proinov E-Contractions
(MDPI-SYMMETRY, 28 May 202)
In this paper, we consider a new type of Proinov contraction on the setting of a symmetrical
abstract structure, more precisely, the metric space. Our goal is to expand on some results from the
literature using admissible ...
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
. ...
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 ...
SPECTRA AND FINE SPECTRA OF THE GENERALIZED UPPER DIFFERENCE OPERATOR WITH TRIPLE REPETITION (D_3)^ab ON THE HAHN SEQUENCE SPACE
(2022)
The goal of this paper is to obtain the spectra and fi ne spectra of the matrix (D_3)^ab 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 ...
Terminal value problem for neutral fractional functional differential equations with Hilfer-Katugampola fractional derivative
(Published by Faculty of Sciences and Mathematics, 2023)
In this paper, we establish the existence of solutions for a class of nonlinear neutral fractional differential
equations with terminal condition and Hilfer-Katugampola fractional derivative. The arguments
are based upon ...
Inverse nodal problem for the quadratic pencil of the Sturm-Liouville equations with parameter-dependent nonlocal boundary condition
(Tubitak, 2023)
In this paper, we consider the inverse nodal problem for a quadratic pencil of the Sturm$-$Liouville equations with parameter-dependent Bitsadze$-$Samarskii type nonlocal boundary condition and we give an algorithm for the ...
A partial inverse problem for non-self-adjoint Sturm–Liouville operators with a constant delay
(De Gruyter, 2023)
In this paper, we study a partial inverse spectral problem for non-self-adjoint Sturm–Liouville operators with a constant delay and show that subspectra of two boundary value problems with one common boundary condition are ...