Results 41 to 50 of about 1,494 (161)
Ulam’s stability for some linear conformable fractional differential equations
In this paper, by introducing the concepts of Ulam type stability for ODEs into the equations involving conformable fractional derivative, we utilize the technique of conformable fractional Laplace transform to investigate the Ulam–Hyers and Ulam–Hyers ...
Sen Wang, Wei Jiang, Jiale Sheng, Rui Li
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This paper aims to establish conditions for the existence, uniqueness and Ulam–Hyers stability of solutions for a coupled system of pantograph problem with three sequential fractional derivatives.
Reny George +4 more
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Ulam-Hyers stabilities of fractional functional differential equations
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J. Vanterler da C. Sousa +2 more
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Study of implicit delay fractional differential equations under anti-periodic boundary conditions
This research work is related to studying a class of special type delay implicit fractional order differential equations under anti-periodic boundary conditions.
Arshad Ali +2 more
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In this paper, we study the semi-Hyers–Ulam–Rassias stability and the generalized semi-Hyers–Ulam–Rassias stability of some partial differential equations using Laplace transform. One of them is the convection partial differential equation.
Daniela Marian
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GENERALIZED ULAM -HYERS STABILITY OF DERIVATIONS OF A AQ - FUNCTIONAL EQUATION [PDF]
Let \(X\) be a Banach algebra, let \(j \in \{+1, -1\}\) and let \(f: X \to X\) be an odd mapping fulfilling \[ \|f(x + y) + f(x - y) - 2f(x) - f(y) - f(-y)\| \leq \alpha(x,y), \;x,y \in X \] and \[ \|f(x y) - f(x)y - xf(y)\| \leq \beta(x, y), \;x, y \in X, \tag{1} \] where \(\alpha, \beta: X^{2} \to [0, \infty)\) are such that the series \[ \sum_{n = 0}
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On Ulam–Hyers Stability for a System of Partial Differential Equations of First Order [PDF]
The aim of this paper is to investigate generalized Ulam–Hyers stability and generalized Ulam–Hyers–Rassias stability for a system of partial differential equations of first order. More precisely, we consider a system of two nonlinear equations of first order with an unknown function of two independent variables, which satisfy the corresponding ...
Daniela Marian +2 more
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Note on the solution of random differential equations via ψ-Hilfer fractional derivative
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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On stability for nonlinear implicit fractional differential equations
The purpose of this paper is to establish some types of Ulam stability: Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of implicit fractional-order ...
Mouffak Benchohra, Jamal E. Lazreg
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On applications of Ulam-Hyers stability in biology and economics
6 pages, 0 ...
Ahmed, E. +3 more
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