On the Ulam–Hyers stability of the complex functional equation $$\varvec{F(z)+F(2z)+\cdots +F(nz)=0}$$
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DOI: 10.1007/s00010-019-00693-2
Abstract: In the present paper we prove that the complex functional equation $$F(z)+F(2z)+\cdots +F(nz)=0$$, $$n\ge 2$$, $$z\in {\mathbb {C}}{\setminus }( -\infty ,0] $$, is stable in the generalized Hyers–Ulam sense. read more here.
Keywords: hyers stability; stability complex; functional equation; complex functional ... See more keywords
On coupled best proximity points and Ulam–Hyers stability
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DOI: 10.1007/s11784-020-0764-1
Abstract: For two nonempty, closed, bounded and convex subsets A and B of a uniformly convex Banach space X consider a mapping $$T:(A \times B) \cup (B \times A) \rightarrow A \cup B$$ T : (… read more here.
Keywords: hyers stability; coupled best; ulam hyers; best proximity ... See more keywords
The existence and Ulam–Hyers stability results for $$\psi $$-Hilfer fractional integrodifferential equations
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DOI: 10.1007/s11868-020-00355-x
Abstract: We establish sufficient conditions for the existence and uniqueness of solutions for a class of nonlinear fractional integrodifferential equations with boundary conditions involving $$\psi $$ -Hilfer fractional derivative of order $$0 read more here.
Keywords: ulam hyers; hyers stability; integrodifferential equations; hilfer fractional ... See more keywords
Ulam–Hyers stability for second-order non-instantaneous impulsive fractional neutral stochastic differential equations
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DOI: 10.1063/5.0088040
Abstract: In this paper, sufficient conditions are established for the Ulam–Hyers stability of second-order non-instantaneous impulsive fractional neutral stochastic differential equations (NIIFNSDEs) with supremum norm in the pth means square sense. The existence of solution of NIIFNSDEs… read more here.
Keywords: hyers stability; stability second; ulam hyers; non instantaneous ... See more keywords
Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions
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DOI: 10.1186/s13662-020-2534-1
Abstract: This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results for the given… read more here.
Keywords: boundary conditions; hyers stability; integrodifferential equations; riemann liouville ... See more keywords
Ulam-Hyers stability for a nonlinear Volterra integro-differential equation
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DOI: 10.15672/hujms.483606
Abstract: In this work, the Ulam-Hyers stability and the Ulam-Hyers-Rassias stability for the nonlinear Volterra integro-differential equations are established by employing the method of successive approximation. Some simple examples are given to illustrate the main results.… read more here.
Keywords: stability nonlinear; volterra integro; hyers stability; stability ... See more keywords
Ulam-Hyers-Stability for nonlinear fractional neutral differential equations
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DOI: 10.15672/hujms.524435
Abstract: We discuss Ulam-Hyers stability, Ulam-Hyers-Rassias stability and Generalized Ulam-Hyers-Rassias stability for a class of nonlinear fractional functional differential equations with delay involving Caputo fractional derivative by using Picard operator. An example is also given to… read more here.
Keywords: stability nonlinear; nonlinear fractional; hyers stability; differential equations ... See more keywords
Ulam-Hyers Stability via Fixed Point Results for Special Contractions in b-Metric Spaces
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DOI: 10.3390/sym14112461
Abstract: In this paper, we present some fixed point results for Subrahmanyan contraction in the setting of a b-metric space. We consider the case of multivalued operators. We also deduce the Ulam–Hyers stability property of the… read more here.
Keywords: hyers stability; fixed point; stability via; ulam hyers ... See more keywords
Ulam-Hyers stability results for a novel nonlinear Nabla Caputo fractional variable-order difference system
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DOI: 10.3906/mat-2008-53
Abstract: This paper is concerned with a kind of nonlinear Nabla Caputo fractional difference system with variableorder and fixed initial valuable. By applying Krasnoselskii’s fixed point theorem, we give some sufficient conditions to guarantee the existence… read more here.
Keywords: difference system; nonlinear nabla; nabla caputo; hyers stability ... See more keywords