Ahu Ercan
YOU?
Author Swipe
View article: Fractional Kinetic Models for Drying Using a Semi-Empirical Method in the Framework of Different Types of Kernels
Fractional Kinetic Models for Drying Using a Semi-Empirical Method in the Framework of Different Types of Kernels Open
In this study, we analyze the Lewis model within the framework of the Caputo–Fabrizio fractional derivative in the sense of Caputo (CFC), the Caputo-type Atangana–Baleanu (ABC) fractional derivative and the generalized ABC with a three-par…
View article: Solving Hilfer fractional dirac systems: a spectral approach
Solving Hilfer fractional dirac systems: a spectral approach Open
In this study, we define Hilfer fractional Dirac system. Our main object is to analyze the main spectral structure of the Hilfer fractional Dirac system. To this end, the self-adjointness of the Hilfer fractional Dirac operator, orthogonal…
View article: Fractional approach for Dirac operator involving M-truncated derivative
Fractional approach for Dirac operator involving M-truncated derivative Open
In this study, we examine the basic spectral information for systems governed by the Dirac equation with distinct boundary conditions, utilizing a modified form of local derivatives known as M-truncated derivative (MTD). The spectral infor…
View article: Comparative analysis for fractional nonlinear Sturm-Liouville equations with singular and non-singular kernels
Comparative analysis for fractional nonlinear Sturm-Liouville equations with singular and non-singular kernels Open
This article presents the Laplace-Adomian decomposition method (LADM), which produces a fast convergence series solution, for two types of nonlinear fractional Sturm-Liouville (SL) problems. The fractional derivatives are defined in the Ca…
View article: Adomian decomposition method for solving nonlinear fractional sturm-liouville problem
Adomian decomposition method for solving nonlinear fractional sturm-liouville problem Open
In the present paper, the Adomian decomposition method is employed for solving nonlinear fractional Sturm-Liouville equation. The numerical results for the eigenfunctions and the eigenvalues are obtained. Also, the present results are demo…
View article: Novel Fractional Models Compatible with Real World Problems
Novel Fractional Models Compatible with Real World Problems Open
In this paper, some real world modeling problems: vertical motion of a falling body problem in a resistant medium, and the Malthusian growth equation, are considered by the newly defined Liouville–Caputo fractional conformable derivative a…
View article: On the fractional Dirac systems with non-singular operators
On the fractional Dirac systems with non-singular operators Open
In this manuscript, we consider the fractional Dirac system with exponential and Mittag-Leffler kernels in Riemann-Liouville and Caputo sense. We obtain the representations of the solutions for Dirac systems by means of Laplace transforms.
View article: A New Perspective on Newton's Law of Cooling in Frame of Newly Defined Fractional Conformable Derivative
A New Perspective on Newton's Law of Cooling in Frame of Newly Defined Fractional Conformable Derivative Open
In this paper, Newton's law of cooling is considered from a different perspective with newly defined fractional conformable. Obtained results are compared with experimental results and found optimal fractional orders which fit better with …
View article: Comparative simulations for solutions of fractional Sturm–Liouville problems with non-singular operators
Comparative simulations for solutions of fractional Sturm–Liouville problems with non-singular operators Open
In this study, we consider fractional Sturm–Liouville (S–L) problems within non-singular operators. A fractional S–L problem with exponential and Mittag-Leffler kernels is given with different versions in the Riemann–Liouville and Caputo s…
View article: Stability of the Reconstruction Discontinuous Sturm-Liouville Problem
Stability of the Reconstruction Discontinuous Sturm-Liouville Problem Open
In this work, we study stability of the inverse spectral problem for the Sturm-Liouville operator -D²+q with discontinuity boundary conditions inside a finite closed interval. We use the method which is given by Ryabushko for regular Sturm…