Results 71 to 80 of about 6,391 (225)
On proportional hybrid operators in the discrete setting
Mathematical Methods in the Applied Sciences, Volume 48, Issue 4, Page 4344-4364, 15 March 2025.In this article, we introduce a new nonlocal operator Hα$$ {H}^{\alpha } $$ defined as a linear combination of the discrete fractional Caputo operator and the fractional sum operator. A new dual operator Rα$$ {R}^{\alpha } $$ is also introduced by replacing the discrete fractional Caputo operator with the discrete fractional Riemann ...
Carlos Lizama, Marina Murillo‐Arcila
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Ulam’s stability for some linear conformable fractional differential equations
Advances in Difference Equations, 2020 In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
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Axioms, 2022 The authors have recently investigated a type of Hyers–Ulam stability of one-dimensional time-independent Schrödinger equation with a symmetric parabolic potential wall.
Byungbae Kim, Soon-Mo Jung
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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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Impact of Temperature Variability on the Caputo Fractional Malaria Model
Engineering Reports, Volume 7, Issue 3, March 2025.This study aims to analyze the age related characteristics of malaria in human host by exploring Caputo fractional order models with temperature variability, that is looked into the combined effects of fractional order and temperature variability on malaria dynamics.
Dawit Kechine Menbiko +1 more
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Ulam stability of linear differential equations using Fourier transform
AIMS Mathematics, 2020 The purpose of this paper is to study the Hyers-Ulam stability and generalized HyersUlam stability of general linear differential equations of nth order with constant coefficients by using the Fourier transform method.
Murali Ramdoss +2 more
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Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.Dog rabies remains a major public health concern in many regions, including Ulanga District, Morogoro, Tanzania. This study develops a fractional‐order compartmental model employing Caputo derivatives to incorporate memory effects, providing a more realistic representation of rabies transmission dynamics.
Jufren Zakayo Ndendya +3 more
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Demonstratio MathematicaIn this article, we apply the Fourier transform to prove the Hyers-Ulam and Hyers-Ulam-Rassias stability for the first- and second-order nonlinear differential equations with initial conditions.
Selvam Arunachalam +2 more
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Note on the solution of random differential equations via ψ-Hilfer fractional derivative
Advances in Difference Equations, 2018 This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan +3 more
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Abstract and Applied Analysis, Volume 2025, Issue 1, 2025.Rabies remains a significant public health concern, particularly in regions with high dog‐mediated transmission, and understanding its dynamics is crucial for effective control strategies. This study investigates the transmission dynamics of rabies by developing a deterministic human‐dog model extended to fractional‐order derivatives, incorporating ...
Jufren Zakayo Ndendya +4 more
wiley +1 more source