Results 91 to 100 of about 5,043 (195)
A Hybrid Fractal‐Fractional and Machine Learning Framework for Zika Virus Spread Prediction
Journal of Mathematics, Volume 2026, Issue 1, 2026.We develop and analyze a Zika transmission model that couples mosquito‐borne and sexual pathways with host awareness and vector control interventions, assuming no disease‐induced mortality. The dynamics are formulated in a fractal‐fractional framework with order ℘ and fractal dimension ς, allowing memory and nonlocal effects.
Ashraf Al-Quran +4 more
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Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja +3 more
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Ulam-Hyers Stability and Ulam-Hyers-Rassias Stability for Fuzzy Integrodifferential Equation
Complexity, 2019 In this paper, we establish the Ulam-Hyers stability and Ulam-Hyers-Rassias stability for fuzzy integrodifferential equations by using the fixed point method and the successive approximation method.
Nguyen Ngoc Phung, Bao Quoc Ta, Ho Vu
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On the Hyers-Ulam Stability of Linear Mappings
Journal of Mathematical Analysis and Applications, 1993 Let \(H\) be a monotonically increasing symmetric homogeneous function of degree \(p\), where \(p\in (0,\infty)\backslash\{1\}\). Let \(f\) be a mapping from a real normed space \(X\) into a real Banach space \(Y\). Assume that \[ \| f(x+ y)- f(x)- f(y)\|\leq H(\| x\| \| y\|)\quad \forall x,\;y\in X. \] The authors proved that \[ T(x)=\lim_{n\to\infty}
Rassias, T.M., Semrl, P.
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Engineering Reports, Volume 7, Issue 9, September 2025.Smart malaria control using larvicidal plant extracts and mosquito nets. With the model, sensor nodes can be installed to collect environmental data that enhances the breeding of mosquitoes and the timing of malaria‐treated mosquito nets. Data collected can be processed using artificial intelligence for decision‐ and policy‐making.
Juliet Onyinye Nwigwe +6 more
wiley +1 more source
On the Stability of Nonautonomous Linear Impulsive Differential Equations
Journal of Function Spaces and Applications, 2013 We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
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Mathematics, 2020 In this paper, we study Hyers–Ulam and Hyers–Ulam–Rassias stability of nonlinear Caputo–Fabrizio fractional differential equations on a noncompact interval. We extend the corresponding uniqueness and stability results on a compact interval.
Kui Liu, Michal Fečkan, JinRong Wang
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Hyers–Ulam stability of zeros of polynomials
Applied Mathematics Letters, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hyers-Ulam Stability of Fractional Nabla Difference Equations [PDF]
International Journal of Analysis, 2016 We investigate the Hyers-Ulam stability, the generalized Hyers-Ulam stability, and the Fα-Hyers-Ulam stability of a linear fractional nabla difference equation using discrete Laplace transform. We provide a few examples to illustrate the applicability of established results.
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Hyers-Ulam Stability of Bessel Equations
, 2018 We analyse different kinds of stabilities for the Bessel equation and for the modified Bessel equation with initial conditions. Sufficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, $ $-semi-Hyers-Ulam and Hyers-Ulam stabilities for those equations. Those sufficient conditions are obtained based on the use of integral techniques
Castro, L. P., Simões, A. M.
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