M. Bayram

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...

On New Refinement of Convexity via Interval Calculus with its Fractional Extensions with Applications in Information Theory

This paper introduces, for the first time, a novel class of center-radius order P-superquadratic interval-valued functions and systematically examines their fundamental structural properties. Leveraging these properties, we establish new Jensen and Hermite-Hadamard (\(\mathcal{H.H}\)) type inequalities, together with t...

Exploring the exact soliton solutions and dynamical analysis to the model in fluid dynamics and plasma physics

This research studies the modified equal-width Burgers equation, an important model in both fluid dynamics and plasma physics. This model is commonly used to describe the traffic flow, optical pulses in fibers, ion-acoustic plasma waves, shallow water waves, etc. The new P/Q-expansion method, together with the enlarged...

Computational and machine learning analysis of bio-convective magnetized Ree–Eyring nanofluid flow on Riga plate with thermal radiation and activation energy

This work examines bio-convective magnetized Ree-Eyring nanofluid flow on a convectively heated Riga surface. Thermal diffusion is controlled through use of Cattaneo-Christov thermal flux and Brownian motion effects along with thermal radiations. The flow is also affected by Darcy-Forchheimer model, activation energy a...

Targeted anti-inflammatory effects of folic acid-conjugated chitosan-ZnO NPs: Modulation of inflammatory cytokines and oxidative stress.

Inflammation-driven disorders remain a major therapeutic challenge, partly because conventional anti-inflammatory drugs are often limited by adverse effects, poor target specificity, and incomplete modulation of oxidative and inflammatory pathways. This study developed a green, plant-based targeted nanoplatform using m...

Fractional Order Modeling and Neural Network Solutions for Diabetes Mellitus: Capturing Complexity and Memory Effects in Population Dynamics

Motivation: The present study provides the numerical solutions of the diabetes mellitus model based on its difficulties in a population by executing a robust stochastic neural network structure. The study related to fractional order derivatives is considered more significant as they capture non-local relations and memo...

Density and Viscosity of Ethyl Isobutyrate + 2-Alkanol Mixtures: Experimental Measurements and RM-NTGC Modeling

Convergence and Residual Error Analysis of Unsteady MHD Stagnation Flow Over a Cylindrical Surface With Streamline and Isotherm Visualization

Melting phenomena are important in geothermal heat exchangers, magmatic crystallization, and future thermal energy storage systems. This study provides a detailed numerical study of the heat and mass transfer behavior of unsteady MHD Cross nanofluid flow over a stretching melting cylinder in a Darcy–Forchheimer por...

Thermophysical Properties and Barker–Henderson Perturbation Modeling of 2-(Dimethylamino)ethanol + 1-Alkanol (C5–C10) Mixtures