Results 71 to 80 of about 6,523 (220)
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–Rassias Stability of Hermite’s Differential Equation [PDF]
, 2022 Daniela Marian +2 more
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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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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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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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Nonlinear analysis for Hilfer fractional differential equations
Franklin OpenIn this paper, we discuss nonlinear Hilfer fractional differential equations with separated boundary conditions. Using the well-known Leggett–Williams theorem, we first explore the existence of multiple positive solutions for the nonlinear Hilfer ...
Debananda Basua, Swaroop Nandan Bora
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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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Some Generalizations of Ulam‐Hyers Stability Functional Equations to Riesz Algebras [PDF]
Abstract and Applied Analysis, 2012 Badora (2002) proved the following stability result. Let ε and δ be nonnegative real numbers, then for every mapping f of a ring ℛ onto a Banach algebra ℬ satisfying | | f(x + y) − f(x) − f(y)|| ≤ ε and | | f(x · y) − f(x)f(y)|| ≤ δ for all x, y ∈ ℛ, there exists a unique ring homomorphism h : ℛ → ℬ such that | | f(x) − h(x)|| ≤ ε, x ∈ ℛ. Moreover, b ·
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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
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Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2019 In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an ...
Akbar Zada, Hira Waheed
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