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MathematicsIn this paper, we discuss the existence and uniqueness of a solution for the implicit two-order fractional integro-differential equation with m-point boundary conditions by applying the Banach fixed point theorem.
Ilhem Nasrallah +2 more
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Generalized Hyers-Ulam Stability of the Pexider Functional Equation [PDF]
Mathematics, 2019 In this paper, we investigate the generalized Hyers-Ulam stability of the Pexider functional equation f ( x + y , z + w ) = g ( x , z ) + h ( y , w ) .
Yang-Hi Lee, Gwang-Hui Kim
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Investigations on the Hyers–Ulam stability of generalized radical functional equations [PDF]
Aequationes mathematicae, 2019 في (Brzdęk and Schwaiger in Aeq Math 92: 975-991، 2018) تم التحقيق في حلول تعميمات بعيدة المدى لما يسمى بالمعادلة الوظيفية الجذرية $$f(p (\pi (x) +\pi (y))=f(x) +f(y)$$. وتستمر هذه التحقيقات هنا من خلال تحليل نتائج الاستقرار المقابلة، والتي كانت الموضوع الرئيسي للعديد من الأوراق الحديثة. نقترح نهجًا عامًا وموحدًا للغاية.
Janusz Brzdęk +2 more
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Approximate Homomorphisms of Ternary Semigroups
, 2005 A mapping $f:(G_1,[ ]_1)\to (G_2,[ ]_2)$ between ternary semigroups will be called a ternary homomorphism if $f([xyz]_1)=[f(x)f(y)f(z)]_2$. In this paper, we prove the generalized Hyers--Ulam--Rassias stability of mappings of commutative semigroups into ...
A. Cayley +22 more
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Solution of Hyers–Ulam stability problem for generalized Pappus' equation
Journal of Mathematical Analysis and Applications, 2004 The authors generalize the famous Pappus' identity and introduce a new functional equation \[ n^2 f(x+my) + mnf(x-my) = (m+n)(nf(x) + mf(ny)) \tag \(*\) \] for given positive integers \(m\) and \(n\). By applying the direct method, they prove the Hyers-Ulam-Rassias stability of the equation (\(*\)) for a class of functions \(f : X \to Y\), where \(X ...
Jun, Kil-Woung, Kim, Hark-Mahn
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Mathematical Methods in the Applied Sciences, Volume 49, Issue 2, Page 521-530, 30 January 2026.ABSTRACT This paper investigates the generalized Hyers–Ulam stability of the Laplace equation subject to Neumann boundary conditions in the upper half‐space. Traditionally, Hyers–Ulam stability problems for differential equations are analyzed by examining the system's error, particularly in relation to a forcing term.
Dongseung Kang +2 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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Journal of Inequalities and Applications, 2022 A thermostat model described by a second-order fractional difference equation is proposed in this paper with one sensor and two sensors fractional boundary conditions depending on positive parameters by using the Lipschitz-type inequality.
Jehad Alzabut +5 more
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Asian Journal of Control, Volume 28, Issue 1, Page 34-45, January 2026.Abstract We study a nonlinear ψ−$$ \psi - $$ Hilfer fractional‐order delay integro‐differential equation ( ψ−$$ \psi - $$ Hilfer FrODIDE) that incorporates N−$$ N- $$ multiple variable time delays. Utilizing the ψ−$$ \psi - $$ Hilfer fractional derivative ( ψ−$$ \psi - $$ Hilfer‐FrD), we investigate the Ulam–Hyers––Rassias (U–H–R), semi‐Ulam–Hyers ...
Cemil Tunç, Osman Tunç
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International Journal of Differential Equations, Volume 2026, Issue 1, 2026.This study introduces a novel fractal–fractional extension of the Hodgkin–Huxley model to capture complex neuronal dynamics, with particular focus on intrinsically bursting patterns. The key innovation lies in the simultaneous incorporation of Caputo–Fabrizio operators with fractional order α for memory effects and fractal dimension τ for temporal ...
M. J. Islam +4 more
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