Mujeeb ur Rehman
YOU?
Author Swipe
View article: Confined few-particle systems beyond mean-field theory adopting Gaussian-type orbitals and Morse interparticle interaction
Confined few-particle systems beyond mean-field theory adopting Gaussian-type orbitals and Morse interparticle interaction Open
Recent advancements in optical tweezers enable the trapping of arbitrary numbers of neutral atoms and molecules, even arrays of tweezers with variable geometry can be realized. These fascinating breakthroughs require novel full-dimensional…
View article: Shaping the Future of Cybersecurity: The Convergence of AI, Quantum Computing, and Ethical Frameworks for a Secure Digital Era
Shaping the Future of Cybersecurity: The Convergence of AI, Quantum Computing, and Ethical Frameworks for a Secure Digital Era Open
The increasing complexity and frequency of cyber threats have rendered the conventional protection methods insufficient. Artificial Intelligence has emerged as a transformative force in cybersecurity, offering enhanced capabilities for vul…
View article: Stability, D-Stability, Strong D-Stability of Positive Linear Time-invariant Systems with Applications
Stability, D-Stability, Strong D-Stability of Positive Linear Time-invariant Systems with Applications Open
This paper presents new results on the analysis of positive linear time-invariant systems with non-negative state variables and output data for non-negative initial conditions and inputs. The positive linear time-invariant systems are char…
View article: Classification of primitive immmersions of constant curvature into flag manifolds
Classification of primitive immmersions of constant curvature into flag manifolds Open
We classify primitive minimal immersions of constant curvature from the two-sphere $$S^2$$ into the low-dimensional flag manifolds $$F_{2,1,1}$$ and $$F_{2,2,1}$$ .
View article: ETIOLOGICAL PROFILE OF SHORT STATURE IN CHILDREN PRESENTING TO A TERTIARY CARE HOSPITAL
ETIOLOGICAL PROFILE OF SHORT STATURE IN CHILDREN PRESENTING TO A TERTIARY CARE HOSPITAL Open
View article: A Chaotic Image Encryption Scheme Using Novel Geometric Block Permutation and Dynamic Substitution
A Chaotic Image Encryption Scheme Using Novel Geometric Block Permutation and Dynamic Substitution Open
In this digital era, ensuring the security of digital data during transmission and storage is crucial. Digital data, particularly image data, needs to be protected against unauthorized access. To address this, this paper presents a novel i…
View article: Classification of primitive immmersions of constant curvature into flag manifolds
Classification of primitive immmersions of constant curvature into flag manifolds Open
We classify primitive minimal immersions of constant curvature from the two-sphere $S^2$ into the low-dimensional flag manifolds $F_{2,1,1}$ and $F_{2,2,1}$.
View article: Intrusion Detection in NSL-KDD Dataset Using Hybrid Self-Organizing Map Model
Intrusion Detection in NSL-KDD Dataset Using Hybrid Self-Organizing Map Model Open
View article: Interconnection Between Schur Stability and Structured Singular Values
Interconnection Between Schur Stability and Structured Singular Values Open
In this paper, we present new results on the interconnections between Schur stability and structured singular values of real-valued matrices, denoted as Rn×n . Most new findings are obtained for n = 2 and n = 3. These novel insights into t…
View article: A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations
A new scheme for the solution of the nonlinear Caputo–Hadamard fractional differential equations Open
This paper introduces a numerical approach by generalizing Legendre wavelets for solving nonlinear Caputo–Hadamard fractional differential equations. The methodology involves the extension of classical Legendre wavelets, namely the general…
View article: Transcatheter Cardiac Interventions in Neonates with Congenital Heart Disease: A Single Centre Experience
Transcatheter Cardiac Interventions in Neonates with Congenital Heart Disease: A Single Centre Experience Open
Objective: To analyze the outcome among neonates undergoing transcatheter balloon atrial septostomy for various kinds of congenital heart diseases. Study Design: Prospective longitudinal study. Place and Duration of Study: National Institu…
View article: Advances in nanotechnology-assisted photodynamic therapy for neurological disorders: a comprehensive review
Advances in nanotechnology-assisted photodynamic therapy for neurological disorders: a comprehensive review Open
Neurological disorders such as neurodegenerative diseases and nervous system tumours affect more than one billion people throughout the globe. The physiological sensitivity of the nervous tissue limits the application of invasive therapies…
View article: NUMERICAL TECHNIQUE BASED ON GENERALIZED LAGUERRE AND SHIFTED CHEBYSHEV POLYNOMIALS
NUMERICAL TECHNIQUE BASED ON GENERALIZED LAGUERRE AND SHIFTED CHEBYSHEV POLYNOMIALS Open
In this study, we present a numerical scheme for solving a class of fractional-order partial differential equations. First, we introduce $ \psi $-Laguerre polynomials, then, we employ $ \psi $-shifted Chebyshev and $ \psi $-Laguerre polyno…
View article: Non-negative matrices and their structured singular values
Non-negative matrices and their structured singular values Open
In this article, we present new results for the computation of structured singular values of non-negative matrices subject to pure complex perturbations. We prove the equivalence of structured singular values and spectral radius of perturb…
View article: A case of stuck mechanical Tricuspid Valve
A case of stuck mechanical Tricuspid Valve Open
A 34-year-old non hypertensive, non-diabetic and ill looking weak woman came to our emergency department with shortness of breath NYHA III-IV, severe bilateral pedal edema extending up to the thighs and gross ascites. Physical examination …
View article: Correction: on solutions of nonlinear BVPs with general boundary conditions by using a generalized Riesz–Caputo operator
Correction: on solutions of nonlinear BVPs with general boundary conditions by using a generalized Riesz–Caputo operator Open
View article: Neurological consequences and short–term outcome of children with diagnosis of cyanotic congenital heart diseases at a Tertiary Care Cardiac Setup of Pakistan: A single center study.
Neurological consequences and short–term outcome of children with diagnosis of cyanotic congenital heart diseases at a Tertiary Care Cardiac Setup of Pakistan: A single center study. Open
Objective: To determine the neurological consequences and short–term outcome of children with diagnosis of cyanotic congenital heart diseases (CHDs) at a tertiary care cardiac setup of Pakistan. Study Design: Single Center Observational Co…
View article: Solution of fractional boundary value problems by $ \psi $-shifted operational matrices
Solution of fractional boundary value problems by $ \psi $-shifted operational matrices Open
In this paper, a numerical method is presented to solve fractional boundary value problems. In fractional calculus, the modelling of natural phenomenons is best described by fractional differential equations. So, it is important to formula…
View article: Ulam's type stability analysis of fractional difference equation with impulse: Gronwall inequality approach
Ulam's type stability analysis of fractional difference equation with impulse: Gronwall inequality approach Open
In this paper, we present a new Gronwall inequality with an impulsive effect. The existence and uniqueness of the solution is investigated through fixed point theorems. Moreover, with the help of newly developed inequality Ulam's type stab…
View article: <i>ψ</i>-SHIFTED OPERATIONAL MATRIX SCHEME FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
<i>ψ</i>-SHIFTED OPERATIONAL MATRIX SCHEME FOR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS Open
In this paper, we present a numerical method to solve space-time fractional partial differential equations. We introduce $ \psi$-shifted Chebyshev polynomials to construct operational matrices of fractional differentiation in the Caputo s…
View article: On Laplace transforms with respect to functions and their applications to fractional differential equations
On Laplace transforms with respect to functions and their applications to fractional differential equations Open
An important class of fractional differential and integral operators is given by the theory of fractional calculus with respect to functions, sometimes called Ψ‐fractional calculus. The operational calculus approach has proved useful for u…
View article: On solutions of nonlinear BVPs with general boundary conditions by using a generalized Riesz–Caputo operator
On solutions of nonlinear BVPs with general boundary conditions by using a generalized Riesz–Caputo operator Open
In this work, we study the existence, uniqueness, and continuous dependence of solutions for a class of fractional differential equations by using a generalized Riesz fractional operator. One can view the results of this work as a refineme…
View article: Tempered and Hadamard-Type Fractional Calculus with Respect to Functions
Tempered and Hadamard-Type Fractional Calculus with Respect to Functions Open
View article: Voting Classifier-based Intrusion Detection for IoT Networks
Voting Classifier-based Intrusion Detection for IoT Networks Open
Internet of Things (IoT) is transforming human lives by paving the way for the management of physical devices on the edge. These interconnected IoT objects share data for remote accessibility and can be vulnerable to open attacks and illeg…
View article: Phototherapy Induced Hypocalcemia in Neonates with Unconjugated Hyperbilirubinemia
Phototherapy Induced Hypocalcemia in Neonates with Unconjugated Hyperbilirubinemia Open
Objective: To determine the frequency of hypocalcemia in neonates with unconjugated hyperbilirubinemia receivingphototherapy.Study design and setting: Cross sectional study conducted at neonatal intensive care unit, King Abdullah Teaching …
View article: Langevin equation with nonlocal boundary conditions involving a $ \psi $-Caputo fractional operators of different orders
Langevin equation with nonlocal boundary conditions involving a $ \psi $-Caputo fractional operators of different orders Open
This paper studies Langevin equation with nonlocal boundary conditions involving a ψ-Caputo fractional operators of different orders. By the aid of fixed point techniques of Krasnoselskii and Banach, we derive new results on existence and …
View article: On the existence and Ulam-Hyers stability of a new class of partial (Φ,χ)-fractional differential equations with impulses
On the existence and Ulam-Hyers stability of a new class of partial (Φ,χ)-fractional differential equations with impulses Open
In this paper, we consider the newly defined partial (?,?)-fractional integral and derivative to study a new class of partial fractional differential equations with impulses. The existence and Ulam-Hyers stability of solutions for the prop…
View article: EXISTENCE OF WEAK SOLUTIONS FOR <i>Ψ</i>-CAPUTO FRACTIONAL BOUNDARY VALUE PROBLEM VIA VARIATIONAL METHODS
EXISTENCE OF WEAK SOLUTIONS FOR <i>Ψ</i>-CAPUTO FRACTIONAL BOUNDARY VALUE PROBLEM VIA VARIATIONAL METHODS Open
This article is about a ψ-Caputo fractional boundary value problem which is investigated with the help of variational methods and critical point theory. A touchstone is obtained on the existence of the solution of the problem with the hel…
View article: Fixed point theorem combined with variational methods for a class of nonlinear impulsive fractional problems with derivative dependence
Fixed point theorem combined with variational methods for a class of nonlinear impulsive fractional problems with derivative dependence Open
In this article, we deal with a class of nonlinear impulsive problems of fractional-order in which nonlinearity is due to the fractional-order derivative term. The investigation involved a fixed point theorem with a combination of variatio…
View article: Green–Haar wavelets method for generalized fractional differential equations
Green–Haar wavelets method for generalized fractional differential equations Open