The Journal of Innovative Applied Mathematics and Computational Sciences (JIAMCS) is pleased to present Volume 5, Issue 1 (January–June 2025), featuring a diverse collection of eleven original research articles that advance the fields of applied mathematics, numerical analysis, and scientific computation.

This issue underscores the journal’s ongoing commitment to academic excellence by disseminating high-quality research that addresses both theoretical challenges and real-world applications. The contributions span a wide spectrum of topics, including special functions, numerical methods, dynamical systems, optimal control, and mathematical modeling in epidemiology and engineering, offering readers valuable insights into current developments and emerging trends shaping the future of mathematical sciences.

DOI: https://doi.org/10.58205/jiamcs.v5i1

ARK: https://n2t.net/ark:/49935/jiamcs.v5i1

Published: 25-07-2025

Research Articles

Some integral properties in the theory of generalized $k-$Bessel matrix functions

Ghazi S. Khammash, Ayman Shehata, Carlo Cattani

1-13

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DOI: https://doi.org/10.58205/jiamcs.v5i1.1927

The Galerkin method for the numerical solution of some class of differential equations by utilizing Gegenbauer wavelets

Lingaraj Angadi

14-24

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DOI: https://doi.org/10.58205/jiamcs.v5i1.1914

An approach to functional description of mass-operational characteristics in the tasks of quality control of raw materials

Darya Sandulyak, Anna Sandulyak, Maria Polysmakova, Alexander Sandulyak, Nikita Solovev

25-30

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DOI: https://doi.org/10.58205/jiamcs.v5i1.1926

Stability and sensitivity analysis of an infectious respiratory disease with vaccination and use of face masks

Henry Milimo Wanjala, Mark O. Okongo , Jimrise O.Ochwach

31-52

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DOI: https://doi.org/10.58205/jiamcs.v5i1.1928

The extended Exton's quadruple hypergeometric function $K^{(\alpha,\beta)}_{15,p}$ and its properties

Ahmed Atash, Hussein Bellehaj

53-65

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DOI: https://doi.org/10.58205/jiamcs.v5i1.1916

A new approach to hyper dual numbers with tribonacci and tribonacci-Lucas numbers and their generalized summation formulas

Ahmad Ali Mehrad, Mansoor Kakar Mirwais

66-81

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DOI: https://doi.org/10.58205/jiamcs.v5i1.1885

Refining Euler and fourth-order Runge-Kutta methods using curvature-based adaptivity

Anes MOULAI-KHATIR

82-96

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DOI: https://doi.org/10.58205/jiamcs.v5i1.1922

Nonlinear dynamics and chaos control of a discrete Rosenzweig-MacArthur prey-predator model

Teqwa Bouguettoucha, Nadjla Boukhalfa, Mohammed Salah Abdelouahab

97-119

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DOI: https://doi.org/10.58205/jiamcs.v5i1.1873

Investigating the impact of vaccination on COVID-19 dynamics and resurgence risks

Abdulaziz Mukhtar, Esther Ncube, Kailash Patidar

120-142

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DOI: https://doi.org/10.58205/jiamcs.v5i1.1920

Optimal control via FBSDE with dynamic risk penalization: a structuring formulation based on Pontryagin's principle

Kayembe Tcheick, Mubenga Kamputo Pascal, Bofeki Bosonga , Eugene Mbuyi Mukendi

143-168

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DOI: https://doi.org/10.58205/jiamcs.v5i1.1950

Introduction of modified root finding approaches and their comparative study with existing methods

Haputhanthrige Hashintha Dilan Kumara, Samoshi Shanika, Haputhanthrige Sachithra Gayashani, Withanage Ujitha Imeshan, Sanjula Thilakarathne

169-195

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DOI: https://doi.org/10.58205/jiamcs.v5i1.1921