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Abstract and Applied Analysis
Scopus
ISSN 1687-0409 · Wiley · 5,524 articles in the index
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Journal Article
Fixed Point Results for Interpolative Kannan Type and Ćirić-Reich-Rus Type Cyclic Contractions in Dislocated Quasi-Rectangular b-Metric Spaces
MSC2020 Classification 47H10, 54H25.
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Journal Article
A Generalized Topology Approach to Trajectory Convergence in Nonautonomous Evolution Equations With Monotone Operators
This paper investigates the application of β-open sets to the convergence analysis of nonautonomous evolution equations governed by maximal monotone operators in Hilbert spaces. β-open sets are a class of generalized open sets introduced by Njåstad (1965), which coincides with the class of semiopen…
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Journal Article
Mean Value Property Related to the Finsler p-Laplacian
MSC2020 Classification: 35A08, 35B05,35J60, 53C60
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Journal Article
Optimal Polynomial Energy Decay and Spectrum-Determined Exponential Stability for an Euler–Bernoulli Beam With Boundary Memory: Spectral and Sensitivity Analysis
MSC2020 Classification: 74K10, 74D05, 35B35, 65C05.
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Journal Article
Evaluating Pre- and Post-Exposure Vaccination for Rabies Control in Dog Populations Using Mathematical Modeling
Understanding the transmission dynamics of rabies among dogs is crucial for designing effective control strategies in endemic regions. In this study, we developed and analyzed two deterministic compartmental models. The SEI model captures the natural progression of rabies in the absence of…
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Journal Article
Mathematical Modeling of the Dynamics of Female Genital Schistosomiasis as a Risk Factor to Cervical Cancer
Female genital schistosomiasis (FGS), caused by chronic infection with Schistosoma haematobium, represents a significant but neglected gynecological condition that affects approximately 56 million women in sub-Saharan Africa. This parasitic disease manifests itself through chronic inflammation and…
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Journal Article
Optimal Control and Global Sensitivity Analysis of a Multiroute Zika Transmission Model With Wolbachia
The Zika virus exhibits complex transmission dynamics involving vector-borne, sexual, and vertical pathways, which complicates the design of effective control strategies. In this work, we develop an integrated SICR–SI mathematical model coupling human and mosquito populations, incorporating…
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Journal Article
Nonlocal-to-Local Limits and Diffusion Approximation in Aggregation Models With Finite-Range Interactions
MSC2020 Classification: 35K55, 35Q92, 45K05, 65M12
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Journal Article
Mathematical Analysis of a Fractional-Order SVEIAHR Epidemic Model With a Generalized Incidence Function Based on the Caputo Operator
MSC2000 Classification: 65L12, 65M20, 65N40
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Journal Article
Fixed Point Theorems on C∗-Algebra-Valued G-Metric Spaces and the Best Proximity Results
MSC2020 Classification: 47H09, 47H10, 46L05, 54H25
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Journal Article
An Exhaustive Treatment of Generalized Kolmogorov PDEs
MSC2020 Classification: 35K05, 35K15, 35Q92
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Journal Article
Fractional-Order Analysis of Norovirus Transmission Dynamics With Optimal Control and Cost-Effectiveness
Norovirus remains a significant global public health challenge due to its high transmissibility, environmental persistence, and the absence of specific antiviral therapies or licensed vaccines. This study develops a novel Caputo fractional–order compartmental model (SEVIAR-B) to capture the…
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Journal Article
Modeling COVID-19 Case Distribution Across Age Groups: Effects of Differential Susceptibility, Age-Specific Severity, and Heterogeneous Contacts
The transmission dynamics of COVID-19 within and between age groups is studied using a mathematical model with direct and indirect transmission pathways. The model captures infections arising from contact with environmental pathogens and from exposed individuals, with an adjustment parameter…
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Journal Article
Ramified Asymptotic Expansions for Some Linear Initial Value Problem With Mahler Transforms
MSC2010 Classification: 35C10, 35C15, 35C20, 35R10
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Journal Article
A Systematic Study of Multifractal Measures and Dimensions for Image Measures on Moran Sets
MSC2020 Classification: 28A20, 28A75, 28A78, 28A80, 49Q15
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Journal Article
Model-Based Analysis of Gumboro Disease Transmission and the Impact of Prevention Strategies
Infectious bursal disease virus (IBDV) is a cause of Gumboro disease and transmitted through environmental contamination, mainly via the fecal-oral route. The Gumboro disease is associated with significant economic challenges. Thus, predicting its transmission dynamics is of paramount importance to…
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Journal Article
On the Well-Posedness and Stability Analysis of Nonlinear Fractional Integrodifferential Equations Subject to Integral Boundary Constraints
MSC2020 Classification: 26A33, 34A08, 34B18, 34K06, 37N40
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Journal Article
Existence of Nonstationary Fixed Point Results on Multivalued Maps and Fractal Construction Using Trajectories
MSC2020 Classification: 28A80, 47H10, 54E50 54H25
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Journal Article
A Review of Certain Modern Special Functions and Their Applications
This review article comprehensively analyzes recent developments in the generalization of special functions (SFs) and polynomials via various fractional calculus operators (FCOs), focusing on the analytical properties and applications of extended Hurwitz–Lerch zeta, Wright, and hypergeometric…
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