E. Hıncal

Simpson’s Type Estimates for Multiplicatively Strongly Convex Function via Non-Newtonian Calculus

In this paper, we initially establish a novel integral identity for multiplicatively differentiable functions within the framework of non-Newtonian calculus. By judiciously exploiting this identity, we derive a new Simpson’s-type integral inequality for multiplicatively strongly convex functions. Several significant sp...

Thermal and mass transport analysis of solar-driven Williamson nanofluid flow over a stretching/shrinking wedge under an inclined magnetic field and heat generation

The growing energy consumption, increasing demand for efficient cooling systems, energy preservation in clean energy technology, cooling technology, and chemical engineering, and the applications of nanofluids and non-Newtonian fluids have attracted the attention of researchers and scientists in fluid mechanics. Becaus...

Sensitivity Analysis and Chaos Control of Toxoplasma Gondii Dynamics Model for the Cat Population with Early Identification

This research examines the ecological and domestic cat-to-cat dynamics of Toxoplasma gondii transmission explored in terms of vaccination and sanitation methods as major intervention steps. Considering the severe negative consequences of toxoplasmosis in the fetus and the implications of the mentioned issue on the heal...

Bifurcation analysis, conservation laws and dynamics of solitons solutions for the Kundu–Eckhaus equation and its applications

Invariant Solutions, Conservation Laws, and Jacobi Elliptic Waves for a Fifth-Order Nonlinear Evolution Equation

A detailed structural analysis of a fifth-order nonlinear evolution equation is presented in this work. The study begins with the determination of classical Lie point symmetries, leading to the construction of an optimal system of one-dimensional subalgebras and the derivation of corresponding similarity reductions. Th...

A hybrid fuzzy logic-driven behavioral intrusion detection architecture integrating fuzzy clustering and adaptive machine learning for Zero-Trust networks

In current Zero-Trust architectures, detecting behavioral intrusions has become critical because traditional rule-based access control systems struggle to combat polymorphic, low-and-slow, and identity-spoofing attacks. Although machine learning technologies have advanced intrusion detection through behavioral pattern...

Dynamic routing with deterministic scheduling and self-healing recovery for industrial thermal storage networks in a hybrid physical emulation testbed

A Thermal-State-Aware Dynamic Routing (TSDR) method that integrates thermal criticality with link delay, jitter, packet-delivery probability, congestion, energy cost, and fault risk in a constrained multi-criteria path-selection framework is proposed.

An Efficient Spectral Technique Based on Operational Matrices to Solve Variable Coefficients Time-Space Fractional Advection-Diffusion Equations

This investigation presents a robust spectral technique for accurately solving timespace fractional advection-diffusion equations (FADEs) characterized by Caputo-type derivatives with coefficients that vary in both time and space. Such equations inherently model nonlocality and memory effects prevalent in various compl...