On a new type of stability of a radical quadratic functional equation using Brzdȩk’s fixed point theorem
Sign Up to like & getrecommendations! Published in 2017 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-016-0666-2
Abstract: AbstractUsing a fixed point result and an approach to stability of functional equations presented in [8], we investigate a new type of stability for the radical quadratic functional equation of the form $$ f(\sqrt{x^2+y^2}) =… read more here.
Keywords: stability radical; new type; stability; radical quadratic ... See more keywords
Ulam type stability for non-instantaneous impulsive Caputo fractional differential equations with finite state dependent delay
Sign Up to like & getrecommendations! Published in 2020 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2020-2061
Abstract: Abstract Four Ulam type stability concepts for non-instantaneous impulsive fractional differential equations with state dependent delay are introduced. Two different approaches to the interpretation of solutions are investigated. We study the case of an unchangeable… read more here.
Keywords: instantaneous impulsive; type stability; ulam type; fractional differential ... See more keywords
Ulam-Type Stability for a Boundary-Value Problem for Multi-Term Delay Fractional Differential Equations of Caputo Type
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DOI: 10.3390/axioms11120742
Abstract: A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated. Sufficient conditions for the… read more here.
Keywords: problem; ulam type; stability; boundary value ... See more keywords
Boundary Value Problems for Fractional Differential Equations of Caputo Type and Ulam Type Stability: Basic Concepts and Study
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DOI: 10.3390/axioms12030226
Abstract: Boundary value problems are very applicable problems for different types of differential equations and stability of solutions, which are an important qualitative question in the theory of differential equations. There are various types of stability,… read more here.
Keywords: differential equations; type stability; boundary value; stability ... See more keywords