Results 31 to 40 of about 4,926 (172)

A Generalized ML-Hyers-Ulam Stability of Quadratic Fractional Integral Equation

open access: yesNonlinear Engineering, 2021
An interesting quadratic fractional integral equation is investigated in this work via a generalized Mittag-Leffler (ML) function. The generalized ML–Hyers–Ulam stability is established in this investigation.
Kaabar Mohammed K. A.   +5 more
doaj   +1 more source

Ulam-Hyers-Rassias Stability of a Hyperbolic Partial Differential Equation [PDF]

open access: yesISRN Mathematical Analysis, 2012
We consider a nonlinear hyperbolic partial differential equation in a general form. Using a Gronwall-type lemma we prove results on the Ulam-Hyers stability and the generalised Ulam-Hyers-Rassias stability of this equation.
Lungu, Nicolaie, Crăciun, Cecilia
openaire   +2 more sources

Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition

open access: yesAdvances in Difference Equations, 2017
In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
doaj   +1 more source

Ulam-Hyers-Stability for nonlinear fractional neutral differential equations

open access: yesHacettepe Journal of Mathematics and Statistics, 2018
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 show the applicability of our results.
NİAZİ, Azmat Ullah Khan   +3 more
openaire   +4 more sources

Ulam-Hyers stabilities of fractional functional differential equations

open access: yesAIMS Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Vanterler da C. Sousa   +2 more
openaire   +3 more sources

Ulam-Hyers stability for partial differential equations [PDF]

open access: yesCreative Mathematics and Informatics, 2012
Using the weakly Picard operator technique, we will present some Ulam-Hyers stability results for some partial differential equations.
openaire   +1 more source

Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative

open access: yesJournal of Mathematics, 2021
In this article, we investigate the existence, uniqueness, and different kinds of Ulam–Hyers stability of solutions of an impulsive coupled system of fractional differential equations by using the Caputo–Katugampola fuzzy fractional derivative.
Leila Sajedi   +2 more
doaj   +1 more source

Continuous Dependence on the Initial Functions and Stability Properties in Hyers–Ulam–Rassias Sense for Neutral Fractional Systems with Distributed Delays

open access: yesFractal and Fractional, 2023
We study several stability properties on a finite or infinite interval of inhomogeneous linear neutral fractional systems with distributed delays and Caputo-type derivatives.
Hristo Kiskinov   +3 more
doaj   +1 more source

Ulam-Hyers Stability for MKC Mappings via Fixed Point Theory [PDF]

open access: yesJournal of Function Spaces, 2016
We consider some extension of MKC mappings in the framework of complete dislocated metric spaces. Besides the theoretical results, we also consider some illustrative examples. Further, we state and prove that our main results improved the related results in the frame of generalized Ulam-Hyers stability theory.
Anisa Mukhtar Hassan   +2 more
openaire   +3 more sources

Study of a nonlinear multi-terms boundary value problem of fractional pantograph differential equations

open access: yesAdvances in Difference Equations, 2021
In this research work, a class of multi-term fractional pantograph differential equations (FODEs) subject to antiperiodic boundary conditions (APBCs) is considered.
Muhammad Bahar Ali Khan   +5 more
doaj   +1 more source

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