6 papers
Painlevé Integrability And Shifted Nonlocal Reductions Of A Variable Coefficient Coupled HI Mkdv System
Taylan Demir
We analyze a variable coefficient coupled HI mKdV system that has shifted nonlocal reductions. The Weiss Tabor Carnevale test gives us coefficient restrictions to perform a time re…
Real Time Magnetic Field Line Tracing In The Magnetosphere Via Adaptive Error Bounded Integration
Taylan Demir
Field line tracing is one of the fundamental computational tools used in the study of the magnetosphere, which helps in many areas including footprint mapping, connectivity analysi…
fractional-time deformation of quantum coherence in open systems: a non-markovian framework beyond lindblad dynamics
Taylan Demir
In this paper, we propose a fractional time extension of the Quan tum Master Equation. We introduce a Caputo-type fractional derivative in time as an extension of the exponential d…
Adaptive Wavelet-Galerkin Modelling of Heat Conduction in Heterogeneous Composite Materials
Taylan Demir, Atakan Koçyiğit
We present an adaptive wavelet Galerkin method for transient heat conduction in heterogeneous composite materials. The approach combines multiresolution wavelet bases with an impli…
Atangana-Baleanu Regularized Wavelet Compression For Astronomical Time-Series
Taylan Demir, Atakan Koçyiğit
Astronomical light curves are noisy and irregular, so compression must reduce size without erasing weak transients. We propose a fractional wavelet compression method where wavelet…
Seismic wave propagation in viscoelastic media under Atangana-Baleanu fractional dynamics: Model formulation and numerical simulations
Taylan Demir, Atakan Koçyiğit
We propose a one-dimensional viscoelastic seismic-wave model driven by the Atangana-BaleanuCaputo fractional derivative with a non-singular Mittag-Leffler kernel. A finite-differen…