Results 21 to 30 of about 1,629 (185)

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

Hyers-Ulam-Rassias Stability of Generalized Derivations [PDF]

open access: yes, 2006
The generalized Hyers--Ulam--Rassias stability of generalized derivations on unital Banach algebras into Banach bimodules is established.Comment: 9 pages, minor changes, to appear in Internat. J. Math.
Moslehian, Mohammad Sal
core   +5 more sources

Uniqueness and Ulam–Hyers–Rassias stability results for sequential fractional pantograph q-differential equations

open access: yesJournal of Inequalities and Applications, 2022
AbstractWe study sequential fractional pantograph q-differential equations. We establish the uniqueness of solutions via Banach’s contraction mapping principle. Further, we define and study the Ulam–Hyers stability and Ulam–Hyers–Rassias stability of solutions. We also discuss an illustrative example.
Mohamed Houas   +3 more
openaire   +3 more sources

Existence and Ulam–Hyers stability for Caputo conformable differential equations with four-point integral conditions

open access: yesAdvances in Difference Equations, 2019
In this article, we investigate the existence and uniqueness of solutions for conformable derivatives in the Caputo setting with four-point integral conditions, applying standard fixed point theorems such as Banach contraction mapping principle ...
Aphirak Aphithana   +2 more
doaj   +1 more source

Hyers-Ulam-Rassias stability of generalized module left (m,n)-derivations [PDF]

open access: yes, 2013
The generalized Hyers-Ulam-Rassias stability of generalized module left ▫$(m,n)$▫-derivations on a normed algebra ▫$mathcal{A}$▫ into a Banach left ▫$mathcal{A}$▫-module is established.V članku je obravnavana Hyers-Ulam-Rassias stabilnost posplošenih ...
Fošner, Ajda
core   +1 more source

Ulam-Hyers-Rassias stability for fuzzy fractional integral equations

open access: yes, 2020
Summary: In this paper, we study the fuzzy Ulam-Hyers-Rassias stability for two kinds of fuzzy fractional integral equations by employing the fixed point technique.
Vu, H., Rassias, J.M., Van Hoa, N.
openaire   +2 more sources

Analysis of a coupled system of fractional differential equations with non-separated boundary conditions

open access: yesAdvances in Difference Equations, 2020
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 differential ...
Danfeng Luo   +3 more
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

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

Asymptotic stability of the Cauchy and Jensen functional equations [PDF]

open access: yes, 2016
The aim of this note is to investigate the asymptotic stability behaviour of the Cauchy and Jensen functional equations. Our main results show that if these equations hold for large arguments with small error, then they are also valid everywhere with a ...
A. Bahyrycz   +19 more
core   +2 more sources

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