Abstract Graphyne and Graphdiyne Nanoribbons reveal significant prospective with diverse applications. In electronics, they propose unique electronic properties for high-performance nanoscale devices, while in catalysis, their excellent surface area reactivity sort them valuable catalyst supports numerous chemical reactions, contributing to progresses sustainable energy environmental remediation. The topological indices (TIs) are numerical invariants that provide important information about...

In particular, the fractional forms of Hermite–Hadamard inequalities for newly defined class convex mappings proposed that are known as coordinated left and right ℏ-convexity (LR-ℏ-convexity) over interval-valued codomain. We exploit use double Riemann–Liouville integral to derive major results research. also examine key results’ numerical validations examples nontrivial. By taking product two ℏ-convexity, some new versions obtained. Moreover, classical exceptional cases discussed by...

Neurodegenerative diseases (NDDs) have received considerable interest from scientists for a long time due to their multifactorial nature. Alzheimer’s disease (AD) is of particular importance among pathologies, and despite approved drugs its treatment, there no effective pharmacological therapy stop, halt, or repair neurodegeneration. The U.S. Food Drug Administration (FDA) has certain medications treat AD, including galantamine, donepezil, rivastigmine, memantine, tacrine, suvorexant,...

In its crystalline state, the α ‐icosahedral nanosheet of boron demonstrates superconductivity and thermal electronic properties. Mathematical research on a graph’s structure yields graph descriptor, numerical measure. Chemical theory employs connectivity descriptors to analyze molecular structures, providing crucial insights into many chemical compounds’ biological characteristics. These characteristics benefit physicists, chemists, medical pharmaceutical specialists. this paper, idea...

This paper is concerned with the novel exact solitons for truncated M-fractional (1+1)-dimensional nonlinear generalized Bretherton model arbitrary constants. used to explain resonant interaction between waves in different phenomena, including fluid dynamics, plasma physics, ocean waves, and many others. A series of solitons, bright, dark, periodic, singular, singular–bright, singular–dark, other are obtained by applying extended sinh-Gordon equation expansion (EShGEE) modified...

Recent research on nanostructures proved their importance and implementation in various areas. In drug delivery systems, medicine pharmaceutical, biological sensors, photodetectors, transistors, optical electronic devices, all these topics are implemented directly or indirectly. Future advanced devices a motivation for the discovery of carbon nanotubes made Y-shaped junctions. Electronic switches, amplifiers, three-terminal transistors great interest due to interaction with Y-junctions. The...

Abstract The intriguing properties of polycyclic structure known as benzenoid hydrocarbons, which are unsaturated and totally conjugated molecules with hexagonal rings, continue to entice researchers investigate their chemical physical molecular reference aromaticity. To correlate important structural attributes such enthalpy, melting, boiling point, cyclicity, numerical descriptors or topological indices have been used for decades, variety two three dimensional structures networks graphs...

Due to its significant influence on numerous areas of mathematics and practical sciences, the theory integral inequality has attracted a lot interest. Convexity undergone several improvements, generalizations, extensions over time in an effort produce more accurate variations known findings. This article’s main goal is introduce new class convexity as well prove Hermite–Hadamard type interval-valued inequalities fractional domain. First, we put forth notion generalized mappings, which...

This paper presents a novel framework for introducing generalized 1-parameter 3-variable Hermite polynomials. These polynomials are characterized through generating functions and series definitions, elucidating their fundamental properties. Moreover, utilising factorisation method, this study establishes recurrence relations, shift operators, various differential equations, including differential, integro-differential, partial equations.

This paper is concerned about the novel exact solitons to truncated M-fractional (1+1)-dimensional non-linear generalized Bretherton model with arbitrary constants . used explain resonant nonlinear interaction between waves in different phenomenon, including fluid dynamics, plasma physics, ocean waves, and many others. A series of solitons, bright, dark, periodic, singular, singular-bright, singular-dark, other are obtained by applying extended sinh-Gordon equation expansion (EShGEE),...

The correct derivation of integral inequalities on fuzzy-number-valued mappings depends applying fractional calculus to fuzzy number analysis. purpose this article is introduce a new class convex and generalize various previously published results the interval-valued via fuzzy-order relations using coordinated ỽ-convexity so that version well-known Hermite–Hadamard (H-H) inequality can be presented in variants operators (Riemann–Liouville). Some product forms these for ỽ-convex (coordinated...

The eigenvalues are significant in mathematics, but they also relevant other domains like as chemistry, economics, and a variety of others. In terms our research, used chemistry to represent not only the form energy various physicochemical aspects chemical substance. We must comprehend connection between mathematics chemistry. antibonding level is related positive eigenvalues, bonding associated negative nonbonding linked zero eigenvalues. this work, we studied some anticancer drug...

The first Zagreb eccentricity index E 1 (℧) is the sum of square eccentricities vertices, and second 2 product squares vertices. A linked graph G called a cactus if any two its cycles share only one vertex. In other words, there are no independent that an edge. Cactus graphs also known as “block graphs” or “sensitized graphs.” They closely related to chordal can be used represent various types networks, including communication networks road networks. this contribution, values cacti with k...

<p>On an infinite dimensional complex Hilbert space $ \mathcal{H} $, we consider a standard operator algebra \mathcal{S} with identity I that is closed respect to <italic>adjoint</italic> operation. P_{n}\left(\mathcal{X}_{1}, \mathcal{X}_{2}, \mathcal{X}_{3}, \ldots, \mathcal{X}_{n}\right) set of polynomials defined under indeterminates \mathcal{X}_1, \mathcal{X}_2, \cdots, \mathcal{X}_n by n multiplicative Lie products positive integers \mathbb{N}. It shown map \Theta:...

Skin cancer poses a significant risk to the healthcare system worldwide and is projected increase substantially over next two decades, particularly if not detected in its early stages. The primary aim of this study construct quantitative structure-property relationship (QSPR) by correlating calculated entropies with topological indices specific physical-chemical properties pharmaceuticals, order enhance their usefulness. bicubic regression model constructed through degree-based perform QSPR...

In this paper, we propose the concept of $(\in, \in \vee (\varphi^{\divideontimes}, \check{q_{\varphi}}))$-bipolar fuzzy ideals in BCK/BCI-algebras. We show that an \check{q_{\varphi}})$-bipolar ideal is ideal. For a BCK/BCI-algebra, it has been shown \check{q})$-bipolar $\check{\aleph}$, but not conversely, and then example given. introduce fantastic It \in)$-bipolar Furthermore, connection between are established.

<p>Interval-valued maps adjust integral inequalities using different types of ordering relations, including inclusion and center-radius, both which behave differently. Our purpose was to develop various novel bounds refinements for weighted Hermite-Hadamard as well their product form by employing new fractional operators under a cr-order relation. Mostly authors have used order in interval maps, but they some flaws, specifically lack the property comparability between intervals....

A quadri-polar fuzzy ($q\mathcal{P}$-$\mathcal{F}$) set is an extension of a traditional that uses four degrees membership to represent different aspects belonging provide more detailed framework for handling uncertainty and vagueness. In this paper, we propose the notion quadri-polar-$(\varpi,\vartheta)$-fuzzy fantastic ideals ($q\mathcal{P}$-$(\varpi,\vartheta)$-$\mathcal{FFI}(s)$) in BCI-algebras based on $q\mathcal{P}$-$\mathcal{F}$ set. Also, quadri-polar-$(\in_{\tilde{\sigma}},...

It is widely recognized that fuzzy number theory relies on the characteristic function. However, within realm, function transforms into a membership contingent upon interval [0,1]. This implies real numbers and intervals represent exceptional cases of numbers. By considering this approach, paper introduces new

In this work, we construct a new model of compact stars in the presence anisotropic matter Rastall theory gravity. For this, considered content when formulating field equations. Secondly, Tolman–Oppenheimer–Volkoff (TOV) equation context is formulated. We apply Finch–Skea ansatz static and spherically symmetric geometry to obtain analytic solution derived equations match internal corresponding external Schwarzschild space‐time order determine values unknown constants involved due ansatz. The...