Journal of Nonlinear Modeling and Analysis JNMA Volume 7, Number 4

Volume 7, Number 4

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Entanglement of Several Classical and Dynamic Estimates with Unified Approach on Time Scales

Faryal Chaudhry & Muhammad Jibril Shahab Sahir

10.12150/jnma.2025.1142

J. Nonl. Mod. Anal., 7 (2025), pp. 1142-1152.

[An open-access article; the PDF is free to any online user.]

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On Fractional Hybrid Integral Inequalities via Extended $s$-Convexity

Badreddine Meftah, Wedad Saleh, Mohammed Bakheet Almatrafi & Abdelghani Lakhdari

10.12150/jnma.2025.1153

J. Nonl. Mod. Anal., 7 (2025), pp. 1153-1178.

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Existence and Simulation of Solutions for a Class of Fractional Differential Systems with $p$-Laplacian Operators on Star Graphs

Yuanyuan Zhang, Youhui Su & Yongzhen Yun

10.12150/jnma.2025.1179

J. Nonl. Mod. Anal., 7 (2025), pp. 1179-1205.

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Fibonacci Wavelet Collocation Method for Solving a Class of System of Nonlinear Pantograph Differential Equations

Manohara G & Kumbinarasaiah S

10.12150/jnma.2025.1206

J. Nonl. Mod. Anal., 7 (2025), pp. 1206-1239.

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Entire Solutions for Certain Class of Non-Linear General Difference Equations

Harina P. Waghamore & Manjunath B. E.

10.12150/jnma.2025.1240

J. Nonl. Mod. Anal., 7 (2025), pp. 1240-1253.

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Inertial Self-Adaptive Method for Solving Fixed Point Constraint Split Common Null Point Problem

Hammed Anuoluwapo Abass

10.12150/jnma.2025.1254

J. Nonl. Mod. Anal., 7 (2025), pp. 1254-1273.

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Numerical Analysis of a New COVID-19 Control Model Incorporating Three Different Fractional Operators

William Atokolo, Remigius Okeke Aja, David Omale, Godwin Onuche Acheneje, Rose Veronica Paul & Jeremiah Amos

10.12150/jnma.2025.1274

J. Nonl. Mod. Anal., 7 (2025), pp. 1274-1306.

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Abstract

The ongoing COVID-19 pandemic, caused by the highly contagious coronavirus, poses significant challenges to public health worldwide. Effective control measures are essential to mitigate the spread of the virus and protect vulnerable populations. This study aims to develop novel mathematical models using fractional derivatives to analyze the dynamics of the COVID-19 outbreak. By employing modified mathematical procedures, we explore the impact of quarantine and isolation as control measures on the disease’s transmission dynamics. We investigate a system representing COVID-19 through three different arbitrary-order derivative operators: the Atangana-Baleanu derivative with the generalized Mittag-Leffler function, the Caputo derivative with a power law, and the Caputo-Fabrizio derivative with exponential decay. Using fixed-point theory, we assess the existence and uniqueness of solutions for the arbitrary-order system. Our analysis includes numerical simulations that reveal how varying the fractional order influences the behavior of the epidemic. The results demonstrate that increasing the fractional order generally slows the disease’s progression, reflecting the memory effect inherent in fractional derivatives. Specifically, higher values of the fractional order correspond to a more gradual spread, reducing the peak number of infections and extending the outbreak’s duration. The work highlights the critical importance of using fractional order models to capture the complex dynamics of disease spread and emphasizes that the implementation of quarantine and isolation for treatment significantly decreases the cumulative number of new cases and the overall transmission rate of COVID-19. This research underscores the effectiveness of utilizing fractional-order models to better understand and control the complex dynamics of disease transmission.

Strong Convergence Theorem Involving Two-Step Inertial Technique Without On-Line Rule for Split Feasibility Problem

Chibueze C. Okeke, Abubakar Adamu & Kalu O. Okorie

10.12150/jnma.2025.1307

J. Nonl. Mod. Anal., 7 (2025), pp. 1307-1331.

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Study of Certain Navier Problems in Sobolev Space with Weights

Y. Fadil, M. El Ouaarabi & M. Oukessou

10.12150/jnma.2025.1332

J. Nonl. Mod. Anal., 7 (2025), pp. 1332-1352.

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A Comparative Analysis Between Adomian Decomposition Method and Differential Transformation Method for Solving Some Second-Order Ordinary Differential Equations

Entesar Ali AL-Huwaisek, Nuha Mohammed Dabwan & Yahya Qaid Hasan

10.12150/jnma.2025.1353

J. Nonl. Mod. Anal., 7 (2025), pp. 1353-1368.

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Mild Solution for the Time Fractional Hall-Magneto-Hydrodynamics Stochastic Equations

Hassan Khaider, Achraf Azanzal & Abderrahmane Raji

10.12150/jnma.2025.1369

J. Nonl. Mod. Anal., 7 (2025), pp. 1369-1382.

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An Inertial Tseng’s Extragradient Method for Approximating Solution of Split Problems in Banach Spaces

Ajio Terlumun Jude, Godwin Chidi Ugwunnadi & Bashir Ali

10.12150/jnma.2025.1383

J. Nonl. Mod. Anal., 7 (2025), pp. 1383-1415.

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Double Phase Phenomena in Navier Boundary Problems with Degenerated $(p(.), q(.))$-Operators

Abdessamad El Katit, Abdelrachid El Amrouss & Fouad Kissi

10.12150/jnma.2025.1416

J. Nonl. Mod. Anal., 7 (2025), pp. 1416-1430.

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Local Bifurcation Cyclicity for a Non-Polynomial System

Wenhui Huang, Jie Yao & Qinlong Wang

10.12150/jnma.2025.1431

J. Nonl. Mod. Anal., 7 (2025), pp. 1431-1445.

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Some Bounds for the Steiner-Harary Index of a Graph

B. Sarveshkumar, B. Chaluvaraju & M. C. Mahesh Kumar

10.12150/jnma.2025.1446

J. Nonl. Mod. Anal., 7 (2025), pp. 1446-1460.

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Correspondence Between Renormalized and Entropy Solutions to the Parabolic Initial-Boundary Value Problem Involving Variable Exponents and Measure Data

Mykola Ivanovich Yaremenko

10.12150/jnma.2025.1461

J. Nonl. Mod. Anal., 7 (2025), pp. 1461-1481.

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Existence and Uniqueness Results for Solutions to Fractional $p(·, ·)$-Laplacian Problems with a Variable-Order Derivative

Abdelilah Azghay, Mohammed Massar & Abderrahim El Mhouti

10.12150/jnma.2025.1482

J. Nonl. Mod. Anal., 7 (2025), pp. 1482-1496.

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Subdifferential Frictional Contact Problem with Thermo-Electro-Visco-Elastic Locking Materials: Analysis and Approximation

Zakaria Faiz & Hicham Benaissa

10.12150/jnma.2025.1497

J. Nonl. Mod. Anal., 7 (2025), pp. 1497-1522.

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Blowing-Up Solutions of the Shallow Water Equations

Nurbol Koshkarbayev

10.12150/jnma.2025.1523

J. Nonl. Mod. Anal., 7 (2025), pp. 1523-1531.

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Spreading Speed for Some Cooperative Systems with Nonlocal Diffusion and Free Boundaries, Part 3: Rate of Shifting

Yihong Du & Wenjie Ni

10.12150/jnma.2025.1532

J. Nonl. Mod. Anal., 7 (2025), pp. 1532-1574.

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