A5103174025- Fractional Differential Equations Solutions
- Mathematical and Theoretical Epidemiology and Ecology Models
- Pharmaceutical Practices and Patient Outcomes
- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Acute Lymphoblastic Leukemia research
- Cancer Genomics and Diagnostics
- Evolution and Genetic Dynamics
- Advanced Differential Equations and Dynamical Systems
- Breast Cancer Treatment Studies
- Urticaria and Related Conditions
- Vitamin C and Antioxidants Research
- Medication Adherence and Compliance
- Acute Myeloid Leukemia Research
- CNS Lymphoma Diagnosis and Treatment
- Drug-Induced Adverse Reactions
- Monoclonal and Polyclonal Antibodies Research
- Global Maternal and Child Health
- Dermatological and Skeletal Disorders
- Mathematical Inequalities and Applications
- Lymphoma Diagnosis and Treatment
- Pharmaceutical Economics and Policy
- Blood Pressure and Hypertension Studies
- Advanced Control Systems Design
- Health Systems, Economic Evaluations, Quality of Life
Prince Sultan University
2023-2025
UConn Health
2023-2025
Stanford Medicine
2024-2025
University of Science and Technology Bannu
2022-2023
University of Utah
2023
Southern Illinois University School of Medicine
2009-2022
Northwest General Hospital and Research Center
2016-2021
Crescent University
2021
Lady Reading Hospital
2021
Swiss Paraplegic Center
2021
Soliton theory research has a substantial impact on the application of nonlinear sciences in different fields. This led to significant increase focus researchers study solitary waves recent years. explores diverse dynamic behaviors exhibited by soliton solutions within framework neuron model. In neuroscience, this model is regarded as an important tool for comprehending initiation and propagation action potentials along axons through thermodynamic nerve pulse transmission. The proposed...
In this study, we investigate the $$(2+1)$$ -D Jaulent-Miodek (JM) equation, which is significant due to its energy-based Schrödinger potential and applications in fields such as optics, soliton theory, signal processing, geophysics, fluid dynamics, plasma physics. Given broad utility, a rigorous mathematical analysis of JM equation essential. The primary objective work derive exact solutions using Modified Sub-Equation (MSE) Auxiliary Equation (MAE) techniques. These are computed Maple 18,...
Hepatitis B is a viral infection that primarily targets the liver, potentially causing acute or chronic liver diseases with severe complications, such as cirrhosis and cancer. Its persistent prevalence underscores its status noteworthy global health issue. In this research, we construct mathematical model for progression of hepatitis through fractional derivative, accounting two-dose vaccine regimen. The basic results concepts Caputo-Fabrizio (CF) derivative has been presented analysis...
Abstract Background Progression from pre-cancers like ductal carcinoma in situ (DCIS) to invasive disease (cancer) is driven by somatic evolution and altered clinical interventions. We hypothesized that genetic and/or phenotypic intra-tumor heterogeneity would predict outcomes for DCIS since it serves as the substrate natural selection among cells. Methods profiled two samples geographically distinct foci each both cross-sectional (n = 119) longitudinal cohorts 224), with whole exome...
Global warming is becoming a big concern for the environment since it causing serious and often unexpected impacts on species, affecting their abundance, genetic composition, behavior survival. So, modeling study necessary to investigate effects of global in predator–prey dynamics. This research paper analyzed memory effect evaluated by Caputo fractional derivative interaction using an exponential fear function with Holling-type II presence prey predator species. It assumed that densities...
The emotional burden associated with the diagnosis of cancer is sometimes overshadowed by financial sustained patient and family. This especially relevant for a developing country as there limited state support treatment. We conducted this study to estimate cost care two major types assess perception patients families regarding undergoing treatment at private tertiary hospital.This cross-sectional was day radiotherapy unit Aga Khan University, Hospital (AKUH) Karachi, Pakistan. All adult...
Health consciousness has increased the desire of people around world to consume functional foods. Omega-3 essential fatty acids are one among these beneficial and important health supplements without which a general predisposition degenerative stress related disorders can occur. Saudi Arabia shown an alarming increase in obesity (Al-Nozha et al., 2005), diabetes (Alqurashi 2011), cardiovascular disease 2004) last few decades mainly due nutritional transitions lifestyle alterations (Amuna...
Employing an improved Leslie-Gower model, the Allee impact on predator population and fear influence prey population, a mathematical model of interaction involving two populations, predator, has been explored in current work. The memory effect evolving behaviour is integrated using well-known fractional operator known as Caputo derivative order (0, 1]. We were inspired to do this study because further research desired fully comprehend dynamics impact, fear, order. innovative aspect work...
This study proposes and analyses a revised predator-prey model that accounts for twofold Allee impact on the rate of prey population expansion. Employing Caputo fractional-order derivative, we account memory suggested model. We proceed to examine significant mathematical aspects model, including uniqueness, non-negativity, boundedness, existence solutions noninteger order system. Additionally, all potential equilibrium points strong weak effect are examined under Matignon’s condition, along...
In this article, we investigate the STF modified Benjamin-Bona-Mahony (STF-mBBM) equation, which is important in understanding wave phenomena across various technical scenarios such as ocean waves, acoustic gravity waves and cold plasma physics. We describe fundamental properties of fractional calculus its application to STF-mBBM equation. Utilizing beta derivatives, enhance our intricate dynamics involved. Through $$\left( \frac{G'}{G^{2}}\right)$$ -expansion method (M -EM), derive...
This study presents a hybrid numerical approach for solving the multi-term time-fractional mobile-immobile diffusion equation. The proposed method combines fractional Liouville-Caputo scheme time derivatives with embedded Runge–Kutta (RK23) and employs meshless technique using Fibonacci Lucas polynomials spatial derivatives. accuracy effectiveness of are evaluated through experiments $Max~error$ $RMS$ error norms. highlights advantages techniques, particularly their flexibility in...
The study goals are to address the compound, multi-criteria decision-making tests associated with choosing ideal scope for electric vehicle charging stations. This difficulty ascends due interaction of numerous quantitative and qualitative issues uncertainty characteristic in such assessments. Aliya et al. [37] introduced concept cubic fermatean fuzzy sets, including their operational laws score function. We develop three aggregation operators CFEFWA, CFEFOWA, CFEFHWA set. Furthermore,...