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
On Ulam’s Stability for a Coupled Systems of Nonlinear Implicit Fractional Differential Equations
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DOI: 10.1007/s40840-018-0625-x
Abstract: In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam–Hyers stability, generalized Ulam–Hyers stability, Ulam–Hyers–Rassias stability and generalized Ulam–Hyers–Rassias stability of the solutions to a nonlinear coupled systems of… read more here.
Keywords: fractional differential; ulam stability; implicit fractional; stability ... 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–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations
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DOI: 10.1186/s13662-019-1997-4
Abstract: In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations. We use the Picard operator method and a generalized Gronwall inequality… read more here.
Keywords: hyers mittag; mittag leffler; ulam hyers; leffler stability ... See more keywords
Analysis of a coupled system of fractional differential equations with non-separated boundary conditions
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DOI: 10.1186/s13662-020-03045-6
Abstract: Solutions to fractional differential equations is an emerging part of current research, since such equations appear in different applied fields. A study of existence, uniqueness, and stability of solutions to a coupled system of fractional… read more here.
Keywords: system fractional; fractional differential; differential equations; stability ... 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