Rehana Ashraf
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View article: Linguistic Accommodation in Multilingual Conversations: A Cross-Cultural Study of Pakistan
Linguistic Accommodation in Multilingual Conversations: A Cross-Cultural Study of Pakistan Open
This study aimed to investigate the relationship between cultural values and communication styles in Pakistan. To achieve this aim, a sociolinguistic approach was adopted, and participants were selected from diverse cultural backgrounds ac…
View article: A comprehensive analysis of the stochastic fractal–fractional tuberculosis model via Mittag-Leffler kernel and white noise
A comprehensive analysis of the stochastic fractal–fractional tuberculosis model via Mittag-Leffler kernel and white noise Open
In this research, we develop a stochastic framework for analysing tuberculosis (TB) evolution that includes newborn immunization via the fractal–fractional (F–F) derivative in the Atangana–Baleanu sense. The population is divided into four…
View article: On Analytical Solution of Time-Fractional Biological Population Model by means of Generalized Integral Transform with Their Uniqueness and Convergence Analysis
On Analytical Solution of Time-Fractional Biological Population Model by means of Generalized Integral Transform with Their Uniqueness and Convergence Analysis Open
This research utilizes the generalized integral transform and the Adomian decomposition method to derive a fascinating explicit pattern for outcomes of the biological population model (BPM). It assists us in comprehending the dynamical tec…
View article: Nonlinear dynamics of the media addiction model using the fractal‐fractional derivative technique
Nonlinear dynamics of the media addiction model using the fractal‐fractional derivative technique Open
Excessive use of social media is a developing concern in the twenty‐first century. This issue needs to be addressed before it has any more significant consequences than what we are currently experiencing. As a preventive technique, adverti…
View article: Strong interaction of Jafari decomposition method with nonlinear fractional-order partial differential equations arising in plasma via the singular and nonsingular kernels
Strong interaction of Jafari decomposition method with nonlinear fractional-order partial differential equations arising in plasma via the singular and nonsingular kernels Open
This research utilizes the Jafari transform and the Adomian decomposition method to derive a fascinating explicit pattern for the outcomes of the KdV, mKdV, K(2,2) and K(3,3) models that involve the Caputo fractional derivative operator an…
View article: Novel stochastic dynamics of a fractal-fractional immune effector response to viral infection via latently infectious tissues
Novel stochastic dynamics of a fractal-fractional immune effector response to viral infection via latently infectious tissues Open
In this paper, the global complexities of a stochastic virus transmission framework featuring adaptive response and Holling type II estimation are examined via the non-local fractal-fractional derivative operator in the Atangana-Baleanu pe…
View article: On Comparative Analysis for the Black-Scholes Model in the Generalized Fractional Derivatives Sense via Jafari Transform
On Comparative Analysis for the Black-Scholes Model in the Generalized Fractional Derivatives Sense via Jafari Transform Open
The Black-Scholes model is well known for determining the behavior of capital asset pricing models in the finance sector. The present article deals with the Black-Scholes model via the Caputo fractional derivative and Atangana-Baleanu frac…
View article: New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography
New generalized fuzzy transform computations for solving fractional partial differential equations arising in oceanography Open
This paper presents a study of nonlinear waves in shallow water. The Korteweg-de Vries (KdV) equation has a canonical version based on oceanography theory, the shallow water waves in the oceans, and the internal ion-acoustic waves in plasm…
View article: Numerical solutions of fuzzy equal width models via generalized fuzzy fractional derivative operators
Numerical solutions of fuzzy equal width models via generalized fuzzy fractional derivative operators Open
The Shehu homotopy perturbation transform method (SHPTM) via fuzziness, which combines the homotopy perturbation method and the Shehu transform, is the subject of this article. With the assistance of fuzzy fractional Caputo and Atangana-Ba…
View article: A Novel Treatment of Fuzzy Fractional Swift–Hohenberg Equation for a Hybrid Transform within the Fractional Derivative Operator
A Novel Treatment of Fuzzy Fractional Swift–Hohenberg Equation for a Hybrid Transform within the Fractional Derivative Operator Open
This article investigates the semi-analytical method coupled with a new hybrid fuzzy integral transform and the Adomian decomposition method via the notion of fuzziness known as the Elzaki Adomian decomposition method (briefly, EADM). In a…
View article: Novel Numerical Investigations of Fuzzy Cauchy Reaction–Diffusion Models via Generalized Fuzzy Fractional Derivative Operators
Novel Numerical Investigations of Fuzzy Cauchy Reaction–Diffusion Models via Generalized Fuzzy Fractional Derivative Operators Open
The present research correlates with a fuzzy hybrid approach merged with a homotopy perturbation transform method known as the fuzzy Shehu homotopy perturbation transform method (SHPTM). With the aid of Caputo and Atangana–Baleanu under ge…
View article: Analytic Fuzzy Formulation of a Time-Fractional Fornberg–Whitham Model with Power and Mittag–Leffler Kernels
Analytic Fuzzy Formulation of a Time-Fractional Fornberg–Whitham Model with Power and Mittag–Leffler Kernels Open
This manuscript assesses a semi-analytical method in connection with a new hybrid fuzzy integral transform and the Adomian decomposition method via the notion of fuzziness known as the Elzaki Adomian decomposition method (briefly, EADM). M…
View article: New Computation of Unified Bounds via a More General Fractional Operator Using Generalized Mittag–Leffler Function in the Kernel
New Computation of Unified Bounds via a More General Fractional Operator Using Generalized Mittag–Leffler Function in the Kernel Open
In the present case, we propose the novel generalized fractional integral operator describing Mittag–Leffler function in their kernel with respect to another function Ф. The proposed technique is to use graceful amalgamations of the Rieman…
View article: Generalized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity property
Generalized trapezium-type inequalities in the settings of fractal sets for functions having generalized convexity property Open
In the paper, we extend some previous results dealing with the Hermite–Hadamard inequalities with fractal sets and several auxiliary results that vary with local fractional derivatives introduced in the recent literature. We provide new ge…
View article: Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function
Integral inequalities via Raina’s fractional integrals operator with respect to a monotone function Open
We establish certain new fractional integral inequalities involving the Raina function for monotonicity of functions that are used with some traditional and forthright inequalities. Taking into consideration the generalized fractional inte…
View article: Estimation of Integral Inequalities Using the Generalized Fractional Derivative Operator in the Hilfer Sense
Estimation of Integral Inequalities Using the Generalized Fractional Derivative Operator in the Hilfer Sense Open
With the great progress of fractional calculus, integral inequalities have been greatly enriched by fractional operators; users and researchers have formed a real-world phenomenon in the production of the evaluation process, which results …
View article: New Investigation on the Generalized K-Fractional Integral Operators
New Investigation on the Generalized K-Fractional Integral Operators Open
The main objective of this paper is to develop a novel framework to study a new fractional operator depending on a parameter K > 0, known as the generalized K-fractional integral operator. To ensure appropriate selection and with the discu…
View article: New Multi-Parametrized Estimates Having pth-Order Differentiability in Fractional Calculus for Predominating ℏ-Convex Functions in Hilbert Space
New Multi-Parametrized Estimates Having pth-Order Differentiability in Fractional Calculus for Predominating ℏ-Convex Functions in Hilbert Space Open
In Hilbert space, we develop a novel framework to study for two new classes of convex function depending on arbitrary non-negative function, which is called a predominating ℏ-convex function and predominating quasiconvex function, with res…
View article: A new approach on fractional calculus and probability density function
A new approach on fractional calculus and probability density function Open
In statistical analysis, oftentimes a probability density function is used to describe the relationship between certain unknown parameters and measurements taken to learn about them. As soon as there is more than enough data collected to d…
View article: New weighted generalizations for differentiable exponentially convex mapping with application
New weighted generalizations for differentiable exponentially convex mapping with application Open
The main aim of the present paper is to present a novel approach base on the exponentially convex function to broaden the utilization of celebrated Hermite-Hadamard type inequality. The proposed technique presents an auxiliary result of co…
View article: Certain novel estimates within fractional calculus theory on time scales
Certain novel estimates within fractional calculus theory on time scales Open
The key purpose of this study is to suggest a delta Riemann-Liouville (RL) fractional integral operators for deriving certain novel refinements of Pólya-Szegö and Čebyšev type inequalities on time scales. Some new Pólya-Szegö, Čebyšev and …
View article: Revan Indices and Revan Polynomials of Silicon Carbide Graphs
Revan Indices and Revan Polynomials of Silicon Carbide Graphs Open
Topological polynomials are algebraic expressions which are related to the topology of graphs up to graph isomorphism.They are used to indicate the invariants of graphs of chemical structures.In a chemical graph, vertices and edges corresp…
View article: Embedding of Supplementary Results in Strong EMT Valuations and Strength
Embedding of Supplementary Results in Strong EMT Valuations and Strength Open
A graph ℘ is said to be edge - magic total (EMT if there is a bijection Υ : V ( ℘ ) ∪ E ( ℘ ) → {1, 2, …, | V ( ℘ ) ∪ E ( ℘ )|} s.t ., Υ ( υ ) + Υ ( υν ) + Υ ( ν ) is a constant for every edge υν ∈ E ( ℘ ). An EMT graph ℘ will be called st…
View article: Harmonic Polynomial and Harmonic Index of Silicon Carbide Graphs Sic3-I and Sic3-II
Harmonic Polynomial and Harmonic Index of Silicon Carbide Graphs Sic3-I and Sic3-II Open
In mathematical chemistry topological index is a type of molecular descriptor that is computed based on chemical graph of chemical compound. In chemical graph atoms and bond corresponds to vertices and edges. In this paper we compute harmo…
View article: Bounds of Strong EMT Strength for certain Subdivision of Star and Bistar
Bounds of Strong EMT Strength for certain Subdivision of Star and Bistar Open
A super edge-magic total (SEMT) labeling of a graph ℘( V , E ) is a one-one map ϒ from V (℘)∪ E (℘) onto {1, 2, … ,| V (℘)∪ E (℘) |} such that ∃ a constant “a” satisfying ϒ( υ ) + ϒ( υν ) + ϒ( ν ) = a , for each edge υν ∈ E (℘), moreover a…