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New Approach to Weighted Newton‐Type Inequalities Using Riemann–Liouville Fractional Integrals
Mathematical Methods in the Applied Sciences, Volume 49, Issue 10, Page 11186-11204, 15 July 2026.ABSTRACT In this investigation paper, we present some weighted inequalities Newton‐type for various classes of functions utilizing Riemann–Liouville fractional integrals. The study begins by introducing a positive weighted function to derive a key integral equality essential for proving the main results.
Rubayyi T. Alqahtani, Hüseyin Budak
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The Role of Inducible Defence in Ecological Models: Effects of Nonlocal Intraspecific Competition
Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.ABSTRACT Phenotypic plasticity significantly influences species interactions, especially via inducible defensive mechanisms in predator–prey dynamics. This work proposes and explores a predator–prey scenario whereby the prey species demonstrates inducible defence mechanisms against predators.
Sangeeta Saha +2 more
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Newton-type Inequalities for Fractional Integrals by Various Function Classes
Universal Journal of Mathematics and ApplicationsThe authors of the paper examine some Newton-type inequalities for various function classes using Riemann-Liouville fractional integrals. Namely, we establish some Newton-type inequalities for bounded functions by fractional integrals.
Hüseyin Budak +2 more
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Existence Solutions for a Singular Nonlinear Problem with Dirichlet Boundary Conditions on Exterior Domains [PDF]
Kirkuk Journal of ScienceThis paper proves the existence of solutions that solve the Nonlinear Partial differential equation on the exterior of the ball centered at the origin in R^{N} with radius R > 0, with boundary conditions u = 0 on the boundary, and u ( x ) approaches 0
Mageed Ali, Joseph Iaia
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Eco‐Epidemiological Mathematical Model Analysis With Time Delays and Hopf Bifurcation
Natural Resource Modeling, Volume 39, Issue 2, May 2026.ABSTRACT Ecological and infection predator prey mathematical model is important tool for understanding complex systems and forecasting outcomes biologically. Incorporating saturation mass action incidence rates representing the rate of susceptible prey infection as a function of time along with time delay terms, makes more realistic and reflective of ...
Solomon Molla Alemu +2 more
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Parameterized inequalities based on three times differentiable functions
Boundary Value ProblemsThis paper presents a general identity including two real parameters for three times differentiable functions. By using this equality, we prove several inequalities by using diverse function classes such as convex function, bounded function, Lipschitzian
Bouharket Benaissa +2 more
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Abstract and Applied Analysis, 2014 We study nonsmooth generalized complementarity problems based on the generalized Fisher-Burmeister function and its generalizations, denoted by GCP(f,g) where f and g are H-differentiable.
Wei-Zhe Gu, Mohamed A. Tawhid
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Advanced Theory and Simulations, Volume 9, Issue 2, February 2026.This article develops a variational formulation for modeling a silicon semiconductor through a multiwell approach utilizing phosphorus atoms as a dopant substance. The variational formulation here developed may be used to find an optimal phosphorus density distribution concerning an originally silicon density, in order to maximize the electrical ...
Fabio Silva Botelho
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Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.In this article, we develop a fractional‐order SVEIAHR epidemic model incorporating imperfect vaccination and a general incidence function to better capture the transmission dynamics of highly contagious infectious diseases. Unlike classical integer‐order models, this formulation accounts for memory effects in both infection and immunization processes,
Téwendé Emmanuel Nana +3 more
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A Two-Step Inertial Primal-Dual Algorithm for Minimizing the Sum of Three Functions
IEEE Access, 2019 In this paper, we introduce a two-step inertial primal-dual algorithm (TSIPD) for solving the minimizations of the sum a smooth function with Lipschitzian gradient and two non-smooth convex functions with linear operators.
Meng Wen +3 more
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