Results 81 to 90 of about 1,858 (164)
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this present work, we derive the solution of a quadratic functional equation and investigate the Ulam stability of this equation in Banach spaces using fixed point and direct techniques. Mainly, we examine the stability results in quasi‐β‐Banach spaces and quasi‐fuzzy β‐Banach spaces by means of direct method as well as quasi‐Banach spaces by means ...
Kandhasamy Tamilvanan +5 more
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Partial Differential Equations in Applied MathematicsIn the present manuscript, we discuss the existence, uniqueness an Ulam-stability of solutions for sequential fractional pantograph equations involving n Caputo and one Riemann–Liouville q−fractional derivatives. We prove the uniqueness of solutions for the given problem by using Banach’s contraction mapping principle.
Mohamed Houas, Mohammad Esmael Samei
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On the Stability of a Cubic Functional Equation in Random Normed Spaces
Journal of Mathematical Extension, 2009 The concept of Hyers-Ulam-Rassias stability has been originated from a stability theorem due to Th. M. Rassias. Recently, the Hyers-Ulam-Rassias stability of the functional equation f(x + 2y) + f(x − 2y) = 2f(x) − f(2x) + 4n f(x + y) + f(x − y) o ,
H. Azadi Kenary
doaj
Stability of the Cauchy-Jensen Functional Equation in C∗-Algebras: A Fixed Point Approach
Fixed Point Theory and Applications, 2008 we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following Cauchy-Jensen functional equation 2f((x+y)/2+z)=f(x)+f(y)+2f(z), which was introduced and investigated by Baak
Jong Su An, Choonkil Park
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, 2017 We study the existence and uniqueness of solution of a nonlinear Cauchy problem involving the $ $-Hilfer fractional derivative. In addition, we discuss the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of its solutions. A few examples are presented in order to illustrate the possible applications of our main results.
Sousa, J. Vanterler da C. +1 more
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Stability Results for Some Functional Equations on 2‐Banach Spaces With Restricted Domains
Journal of Mathematics, Volume 2025, Issue 1, 2025.We have a normed abelian group G,.∗,+ and a 2‐pre‐Hilbert space Y with linearly independent elements u and v. Our goal is to prove that any odd map f:G⟶Y satisfying the inequality ‖f(x) + f(y), z‖ ⩽ ‖f(x + y), z‖, z ∈ {u, v}, for all x,y∈G with ‖x‖∗ + ‖y‖∗ ≥ d and some d ≥ 0, is additive. Then, we examined the stability issue correlated with Cauchy and
M. R. Abdollahpour +3 more
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Fixed Point Theory and Applications, 2007 We prove the Hyers-Ulam-Rassias stability of homomorphisms in real Banach algebras and of generalized derivations on real Banach algebras for the following Cauchy-Jensen functional equations: , , which were introduced and investigated by Baak (2006 ...
Park Choonkil
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Ulam-Hyers-Rassias stability of semilinear differential equations with impulses
Electronic Journal of Differential Equations, 2013 Summary: We present Ulam-Hyers-Rassias and Ulam-Hyers stability results for semilinear differential equations with impulses on a compact interval. An example is also provided to illustrate our results.
Xuezhu Li, Jinrong Wang
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Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper analyzes the stability of the Euler–Lagrange–Jensen cubic functional equation in the context of Banach spaces and Intuitionistic Fuzzy Normed Spaces (IFN‐Spaces). We use both direct and fixed point techniques to establish the generalized Ulam stability of the cubic functional equation under various norm‐based constraints.
Subramani Karthikeyan +4 more
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Hyers–Ulam–Rassias stability of fractional delay differential equations with Caputo derivative
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 13499-13509, December 2024.This paper is devoted to the study of Hyers–Ulam–Rassias (HUR) stability of a nonlinear Caputo fractional delay differential equation (CFrDDE) with multiple variable time delays. We obtain two new theorems with regard to HUR stability of the CFrDDE on bounded and unbounded intervals. The method of the proofs is based on the fixed point approach.
Chaimaa Benzarouala, Cemil Tunç
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