Results 91 to 100 of about 1,629 (185)
Results in Nonlinear Analysis, 2022 In the current manuscript, we study the uniqueness and Ulam-stability of solutions for sequential fractionalpantograph differential equations with nonlocal boundary conditions. The uniqueness of solutions is es-tablished by Banach's fixed point theorem.
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Estimation of Inexact Multimixed Additive‐Quadratic Mappings in Fuzzy Normed Spaces
Journal of Mathematics, Volume 2025, Issue 1, 2025.In the current study, we introduce a new model of multimixed additive‐quadratic mapping and then show that the system of several mixed additive‐quadratic equations defining a multimixed additive‐quadratic mapping can be unified and presented as a single equation. We also show that such mappings under some conditions are multi‐additive, multi‐quadratic,
Abasalt Bodaghi, Pramita Mishra
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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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On the generalized Ulam-Hyers-Rassias stability for quartic functional equation in modular spaces
The Journal of Nonlinear Sciences and Applications, 2017 Summary: In this paper, we prove the generalized UHR stability of a quartic functional equations \(f(2x + y) + f(2x - y) = 4f(x + y) + 4f(x - y) + 24f(x) - 6f(y)\) via the extensive studies of fixed point theory. Our results are obtained in the framework of modular spaces by the modular which is l.s.c. and convex.
Wongkum, Kittipong +4 more
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Generalized Ulam-Hyers-Rassias stability and novel sustainable techniques for dynamical analysis of global warming impact on ecosystem. [PDF]
Sci Rep, 2023 Farman M +5 more
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Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
Advances in Difference Equations, 2017 This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative.
S Abbas +4 more
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International Journal of Analysis and Applications, 2019 In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
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Results in Applied MathematicsIn this paper, we consider a class of mixed type Hilfer fractional differential equations with noninstantaneous impulses, nonlocal conditions and time delay.
Baoyan Han, Bo Zhu
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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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Mathematics, 2019 We discuss the existence and uniqueness of solutions for a Caputo-type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain.
Bashir Ahmad +3 more
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