A Fixed Point Approach to the Stability of a Quadratic Functional Equation in Modular Spaces Without Δ2-Conditions DOI Open Access
Parbati Saha,

Nabin Chandra Kayal,

Binayak S. Choudhury

et al.

Tatra Mountains Mathematical Publications, Journal Year: 2024, Volume and Issue: 86(1), P. 47 - 64

Published: Sept. 1, 2024

Abstract In this paper, we investigate the Hyers-Ulam-Rassias stability property of a quadratic functional equation. The even and odd cases for corresponding function are treated separately before combining them into single result. study is undertaken in relatively new structure modular spaces. theorems deduced without using familiar Δ 2 -property that space. This complicated proofs. proofs, fixed point methodology used which space version Banach contraction mapping principle utilized. Several corollaries an illustrative example provided.

Language: Английский

Modeling Ebola Dynamics with a Φ-Piecewise Hybrid Fractional Derivative Approach DOI Creative Commons
Tariq Alraqad, Mohammed A. ‬Almalahi,

Naglaa Mohammed

et al.

Fractal and Fractional, Journal Year: 2024, Volume and Issue: 8(10), P. 596 - 596

Published: Oct. 11, 2024

Ebola virus disease (EVD) is a severe and often fatal illness posing significant public health challenges. This study investigates EVD transmission dynamics using novel fractional mathematical model with five distinct compartments: individuals low susceptibility (S1), high (S2), infected (I), exposed (E), recovered (R). To capture the complex of EVD, we employ Φ-piecewise hybrid derivative approach. We investigate crossover effect its impact on by dividing interval into two subintervals utilize Φ-Caputo in first Φ-ABC second interval. The determines basic reproduction number R0, analyzes stability disease-free equilibrium sensitivity parameters to understand how variations affect system’s behavior outcomes. Numerical simulations support demonstrate consistent results theoretical analysis, highlighting importance calculus modeling infectious diseases. research provides valuable information for developing effective control strategies combat EVD.

Language: Английский

Citations

10
Analysis of an Acute Diarrhea Piecewise Modified ABC Fractional Model: Optimal Control, Stability and Simulation DOI Creative Commons
Yasir A. Madani, Mohammed A. ‬Almalahi, Osman Osman

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(2), P. 68 - 68

Published: Jan. 23, 2025

Acute diarrhea poses a significant global health challenge, especially in settings with poor sanitation. This study develops mathematical model of diarrhea, employing piecewise modified ABC (pmABC) fractional derivative to capture the disease’s transmission dynamics, including crossover effects between classical and behaviors. We analyze local stability disease-free equilibrium calculate basic reproduction number R0 using next-generation matrix method. Furthermore, we formulate an optimal control that incorporates both strategies reduce contact susceptible infected individuals, treat patients. Numerical simulations demonstrate model’s behavior, illustrating enhanced hygiene compliance reduces by decreasing rates, while increased effective rates elevate R0. Additionally, reveal positive correlation higher concentrations acute bacteria subsequent infections.

Language: Английский

Citations

0
Necessary Optimality Conditions for Singular Controls of Caputo Fractional Systems with Delay in Control DOI

Shakir Sh. Yusubov,

Elimhan N. Mahmudov

Qualitative Theory of Dynamical Systems, Journal Year: 2025, Volume and Issue: 24(2)

Published: Jan. 27, 2025

Language: Английский

Citations

0
Exploring Impulsive and Delay Differential Systems Using Piecewise Fractional Derivatives DOI Creative Commons
Hicham Saber, Arshad Ali, Khaled Aldwoah

et al.

Fractal and Fractional, Journal Year: 2025, Volume and Issue: 9(2), P. 105 - 105

Published: Feb. 10, 2025

This paper investigates a general class of variable-kernel discrete delay differential equations (DDDEs) with integral boundary conditions and impulsive effects, analyzed using Caputo piecewise derivatives. We establish results for the existence uniqueness solutions, as well their stability. The at least one solution is proven Schaefer’s fixed-point theorem, while established via Banach’s theorem. Stability examined through lens Ulam–Hyers (U-H) Finally, we illustrate application our theoretical findings numerical example.

Language: Английский

Citations

0
Exploring the dynamics of HIV and HCV co-infection through piecewise modified Mittag-Leffler fractional derivatives DOI Creative Commons

Ayesha Saleem,

Mati ur Rahman,

Salah Boulaaras

et al.

Applied Mathematics in Science and Engineering, Journal Year: 2025, Volume and Issue: 33(1)

Published: March 13, 2025

Language: Английский

Citations

0
A Fixed Point Approach to the Stability of a Quadratic Functional Equation in Modular Spaces Without Δ2-Conditions DOI Open Access
Parbati Saha,

Nabin Chandra Kayal,

Binayak S. Choudhury

et al.

Tatra Mountains Mathematical Publications, Journal Year: 2024, Volume and Issue: 86(1), P. 47 - 64

Published: Sept. 1, 2024

Abstract In this paper, we investigate the Hyers-Ulam-Rassias stability property of a quadratic functional equation. The even and odd cases for corresponding function are treated separately before combining them into single result. study is undertaken in relatively new structure modular spaces. theorems deduced without using familiar Δ 2 -property that space. This complicated proofs. proofs, fixed point methodology used which space version Banach contraction mapping principle utilized. Several corollaries an illustrative example provided.

Language: Английский

Citations

0