Results 21 to 30 of about 1,494 (161)

Ulam-Type Stability for a Boundary-Value Problem for Multi-Term Delay Fractional Differential Equations of Caputo Type

open access: yesAxioms, 2022
A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated.
Ravi P. Agarwal, Snezhana Hristova
doaj   +1 more source

Existence and Stability of Implicit Fractional Differential Equations with Stieltjes Boundary Conditions Involving Hadamard Derivatives

open access: yesComplexity, 2021
In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence
Danfeng Luo   +4 more
doaj   +1 more source

Stability analysis for a class of implicit fractional differential equations involving Atangana–Baleanu fractional derivative

open access: yesAdvances in Difference Equations, 2021
Some fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana–Baleanu–Caputo type derivative and integral.
Asma   +3 more
doaj   +1 more source

Ulam-Hyers stability for operatorial inclusions [PDF]

open access: yesCreative Mathematics and Informatics, 2012
The purpose of the work is to present some Ulam-Hyers stability results for the coincidence point problem associated to single-valued and multivalued operators. As an application, an Ulam-Hyers stability theorem for a differential inclusion.
openaire   +1 more source

On existence and stability results to a class of boundary value problems under Mittag-Leffler power law

open access: yesAdvances in Difference Equations, 2020
Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana–Baleanu-Caputo derivative are established. The deserted results are derived by using
Gauhar Ali   +5 more
doaj   +1 more source

Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

open access: yesAdvances in Difference Equations, 2020
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
Akbar Zada   +3 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

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-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

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

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