Fatemah Mofarreh
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View article: Hyperbolic ∗-Ricci Solitons and Gradient Hyperbolic ∗-Ricci Solitons on (ε)-Almost Contact Metric Manifolds of Type (α, β)
Hyperbolic ∗-Ricci Solitons and Gradient Hyperbolic ∗-Ricci Solitons on (ε)-Almost Contact Metric Manifolds of Type (α, β) Open
In this research paper, we introduce the notions of hyperbolic ∗-Ricci solitons and gradient hyperbolic ∗-Ricci solitons. We study the hyperbolic ∗-Ricci solitons on a three-dimensional ε-trans-Sasakian manifold. Specifically, we determine…
View article: Kink soliton solutions and Hamiltonian dynamics of the fractional generalized Pochhammer-Chree equation via Riccati-Bernoulli sub-ODE method
Kink soliton solutions and Hamiltonian dynamics of the fractional generalized Pochhammer-Chree equation via Riccati-Bernoulli sub-ODE method Open
In this study, we take the fractional Pochhammer-Chree equation with nonlinearity of power-law order m. Using a generalized Riccati-Bernoulli sub-ODE method and a Bäcklund transformation, combined with conformable fractional derivatives, w…
View article: Numerical results of fractional order difference system for norovirus disease with feedback neural networking
Numerical results of fractional order difference system for norovirus disease with feedback neural networking Open
In this article, we study and analyze a novel discrete SEAIRF compartmental model in the Caputo sense to investigate the complex transmission dynamics of Norovirus, a highly infectious pathogen known for its strong environmental persistenc…
View article: Fractional soliton structures and chaotic dynamics in nonlinear Jaulent-Miodek hierarchy
Fractional soliton structures and chaotic dynamics in nonlinear Jaulent-Miodek hierarchy Open
The paper explores exact soliton solutions of the nonlinear Jaulent-Miodek Hierarchy (NLJMH) equation in a fractional context using the Riccati-Bernoulli sub-ODE method in conjunction with Bäcklund transformation. To generalize the model t…
View article: A Vectorization Approach to Solving and Controlling Fractional Delay Differential Sylvester Systems
A Vectorization Approach to Solving and Controlling Fractional Delay Differential Sylvester Systems Open
This paper addresses the solvability and controllability of fractional delay differential Sylvester matrix equations with non-permutable coefficient matrices. By applying a vectorization approach and Kronecker product algebra, we transform…
View article: Analytical Solutions and Controllability of Delay Differential Matrix Equations via Kronecker Product and Delayed Matrix Functions
Analytical Solutions and Controllability of Delay Differential Matrix Equations via Kronecker Product and Delayed Matrix Functions Open
This work introduces a unified framework for analyzing linear delay differential Sylvester matrix equations with noncommuting coefficients. The methodology employs a Kronecker product-based vectorization to transform the system, yielding e…
View article: Soliton Geometry of Modified Gravity Models Engaged with Strange Quark Matter Fluid and Penrose Singularity Theorem
Soliton Geometry of Modified Gravity Models Engaged with Strange Quark Matter Fluid and Penrose Singularity Theorem Open
The nature of the F(R,T)-gravity in conjunction with the quark matter fluid (QMF) is examined in this research note. In the F(R,T)-gravity framework, we derive the equation of state for the QMF in the form of: F(R,T)=F1(R)+F2(T) and the mo…
View article: A Study on the Behavior of Osculating and Rectifying Curves on Smooth Immersed Surfaces in E3
A Study on the Behavior of Osculating and Rectifying Curves on Smooth Immersed Surfaces in E3 Open
This paper presents a detailed investigation into the isometric properties of osculating and rectifying curves on smooth immersed surfaces in E3. We examine the geometric interactions between these curves, specifically when the osculating …
View article: Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms
Eigenvalues for Laplacian Operator on Submanifolds in Locally Conformal Kaehler Space Forms Open
This paper investigates totally real submanifolds in a locally conformal Kaehler space form. Using the moving-frame method and constant mean curvature, we obtain the upper and lower bounds of the first eigenvalue for totally real submanifo…
View article: Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms
Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms Open
This paper investigates the relationship between homology groups and warped product semi-slant submanifolds in Kenmotsu space forms. Some rigidity theorems for vanishing homology groups on warped product semi-slant submanifolds are obtaine…
View article: Overturning and cracking of stellar objects in modified $$f(R, \varphi )$$ gravity
Overturning and cracking of stellar objects in modified $$f(R, \varphi )$$ gravity Open
This study extends the concept of cracking to self-gravitating, spherically symmetric compact objects in modified $$f(R, \varphi )$$ theory of gravity, where R represents the Ricci scalar, and $$\varphi $$ is the scalar potential…
View article: Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators
Novel computations of the time-fractional chemical Schnakenberg mathematical model via non-singular kernel operators Open
One of the important model employed in many biological processes is the Schnakenberg model. The suggested model is based on an autocatalytic process that occurs naturally in a number of biological models. In these kinds of reactions, the r…
View article: STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES
STUDY ON NONLINEAR FRACTIONAL ORDER CONFORMABLE MODEL OF INFECTIOUS DISEASE USING UPDATED ANALYTICAL TECHNIQUES Open
Over the past 20 years, fractional calculus has received increased attention. The concerned field has many applications in investigating different applied sciences problems by using the concept of mathematical modeling. Epidemic models hav…
View article: Oscillatory Performance of Solutions to Noncanonical Nonlinear Second‐Order Differential Equations
Oscillatory Performance of Solutions to Noncanonical Nonlinear Second‐Order Differential Equations Open
This study investigates the oscillatory performance of solutions of the nonlinear delay differential equations . Most recent studies that have developed oscillation criteria for second‐order equations consider only the case. The existence …
View article: Some rigidity theorems for totally real submanifolds in complex space forms
Some rigidity theorems for totally real submanifolds in complex space forms Open
A study of the relationship between pseudo-umbilical totally real submanifolds and minimal totally real submanifolds in complex space forms is presented in this paper. The paper studies totally real submanifolds in complex space forms. The…
View article: Modified F(R,T2)-Gravity Coupled with Perfect Fluid Admitting Hyperbolic Ricci Soliton Type Symmetry
Modified F(R,T2)-Gravity Coupled with Perfect Fluid Admitting Hyperbolic Ricci Soliton Type Symmetry Open
In the present research note, we discuss the energy–momentum squared gravity model F(R,T2) coupled with perfect fluid. We obtain the equation of state for the perfect fluid in the F(R,T2)-gravity model. Furthermore, we deal with the energy…
View article: Rigidity and Triviality of Gradient r-Almost Newton-Ricci-Yamabe Solitons
Rigidity and Triviality of Gradient r-Almost Newton-Ricci-Yamabe Solitons Open
In this paper, we develop the concept of gradient r-Almost Newton-Ricci-Yamabe solitons (in brief, gradient r-ANRY solitons) immersed in a Riemannian manifold. We deduce the minimal and totally geodesic criteria for the hypersurface of a R…
View article: Homology groups in CR-warped products of complex space forms
Homology groups in CR-warped products of complex space forms Open
In the present paper, by using the result of Lawson-Simons [15], we adopt a different technique to show that there are no stable integral q-currents and a non-trivial homology group in a compact oriented CR-warped product submanifold Nn in…
View article: A DDVV Conjecture for Riemannian Maps
A DDVV Conjecture for Riemannian Maps Open
The Wintgen inequality is a significant result in the field of differential geometry, specifically related to the study of submanifolds in Riemannian manifolds. It was discovered by Pierre Wintgen. In the present work, we deal with the Rie…
View article: On Sequential Warped Products Whose Manifold Admits Gradient Schouten Harmonic Solitons
On Sequential Warped Products Whose Manifold Admits Gradient Schouten Harmonic Solitons Open
As part of our study, we investigate gradient Schouten harmonic solutions to sequential warped product manifolds. The main contribution of our work is an explanation of how it is possible to express gradient Schouten harmonic solitons on s…
View article: Timelike Surface Couple with Bertrand Couple as Joint Geodesic Curves in Minkowski 3-Space
Timelike Surface Couple with Bertrand Couple as Joint Geodesic Curves in Minkowski 3-Space Open
A curve on a surface is a geodesic curve if its principal normal vector is anywhere aligned with the surface normal. Using the Serret–Frenet frame, a timelike surface couple (TLSC) with the symmetry of a Bertrand couple (BC) can be specifi…
View article: Geometric Classifications of Perfect Fluid Space-Time Admit Conformal Ricci-Bourguignon Solitons
Geometric Classifications of Perfect Fluid Space-Time Admit Conformal Ricci-Bourguignon Solitons Open
This paper is dedicated to the study of the geometric composition of a perfect fluid space-time with a conformal Ricci-Bourguignon soliton, which is the extended version of the soliton to the Ricci-Bourguignon flow. Here, we have delineate…
View article: On new computations of the time-fractional nonlinear KdV-Burgers equation with exponential memory
On new computations of the time-fractional nonlinear KdV-Burgers equation with exponential memory Open
This paper examines the Korteweg–de Vries-Burgers (KdV-Burgers) equation with nonlocal operators using the exponential decay and Mittag-Leffler kernels. The Caputo-Fabrizio and Atangana-Baleanu operators are used in the natural transform d…
View article: Singularities of swept surfaces in Euclidean 3-space
Singularities of swept surfaces in Euclidean 3-space Open
This study examines the local singularities of tube surfaces, especially those of swept surfaces $ (SS) $ in Euclidean 3-space $ \mathcal{E}^{3} $. $ SS $ is created by moving a planar curve through space such that the trajectory of any po…
View article: Schur-type inequality for solitonic hypersurfaces in $ (k, \mu) $-contact metric manifolds
Schur-type inequality for solitonic hypersurfaces in $ (k, \mu) $-contact metric manifolds Open
In this article, we derive a Schur-type Inequality in terms of the gradient $ r $-Almost Newton-Ricci-Yamabe soliton in $ (k, \mu) $-contact metric manifolds. We discuss the triviality for the compact gradient $ r $-Almost Newton-Ricci-Yam…
View article: Impact of concircular curvature tensor in f(R*)-gravity
Impact of concircular curvature tensor in f(R*)-gravity Open
This paper concerns with the characterization of a spacetime and f (R*)-gravity endowed with concircular curvature tensor. We prove that a concircularly flat perfect fluid spacetime is either a de- Sitter spacetime or locally isometric to …
View article: Geometric topology of CR-warped products in six-dimensional sphere
Geometric topology of CR-warped products in six-dimensional sphere Open
In this paper, we prove that a three-dimensional CR-warped product submanifold of a nearly Kaehler six-dimensional sphere, under some restrictions, contains finite fundamental groups. Using another approach from the theory of eigenvalues a…
View article: Hyperbolic Ricci soliton and gradient hyperbolic Ricci soliton on relativistic prefect fluid spacetime
Hyperbolic Ricci soliton and gradient hyperbolic Ricci soliton on relativistic prefect fluid spacetime Open
In this research note, we investigated the characteristics of perfect fluid spacetime when coupled with the hyperbolic Ricci soliton. We additionally interacted with the perfect fluid spacetime, with a $ \varphi(\mathcal{Q}) $-vector field…
View article: A study of $ * $-Ricci–Yamabe solitons on $ LP $-Kenmotsu manifolds
A study of $ * $-Ricci–Yamabe solitons on $ LP $-Kenmotsu manifolds Open
In this study, we characterize $ LP $-Kenmotsu manifolds admitting $ * $-Ricci–Yamabe solitons ($ * $-RYSs) and gradient $ * $-Ricci–Yamabe solitons (gradient $ * $-RYSs). It is shown that an $ LP $-Kenmotsu manifold of dimension $ n $ adm…