Hyers-Ulam stability of first-order non-linear delay differential equations with fractional integrable impulses

A Zada, SO Shah - Hacettepe Journal of Mathematics and Statistics, 2018 - dergipark.org.tr
This paper proves the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of first-order
non-linear delay differential equations with fractional integrable impulses. Our approach …

Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives

U Riaz, A Zada, Z Ali, Y Cui, J Xu - Advances in Difference Equations, 2019 - Springer
We present some results on the existence, uniqueness and Hyers–Ulam stability to the
solution of an implicit coupled system of impulsive fractional differential equations having …

Hyers–Ulam stability of impulsive integral equations

A Zada, U Riaz, FU Khan - Bollettino dell'Unione Matematica Italiana, 2019 - Springer
In this manuscript, first we study the Hyers–Ulam stability of linear impulsive Volterra integral
equations with the help of open map** theorem approach. Then we give an existence and …

Non-Archimedean stability of a generalized reciprocal-quadratic functional equation in several variables by direct and fixed point methods

SBV Kumar, H Dutta - Filomat, 2018 - doiserbia.nb.rs
This study is aimed to determine various stabilities of a generalized reciprocal-quadratic
functional equation of the form r (Σpj= 1 βjuj)= Πpj= 1 r (uj)[Σpj= 1 βj Πpk= 1, k≠ j√ r (uk)] 2 …

[PDF][PDF] Dynamical behavior of random fractional integro-differential equation via hilfer fractional derivative

S Begum, A Zada, S Saifullah… - UPB Sci. Bull. Ser. A, 2022 - scientificbulletin.upb.ro
This article deals with the study of the random Hilfer fractional integro-differential equation
with integral boundary condition. Using Banach and Schauder's fixed point theorems we …

[PDF][PDF] Hyers–Ulam stability of nonlinear impulsive Volterra integro–delay dynamic system on time scales

A Zada, SO Shah, Y Li - J. Nonlinear Sci. Appl, 2017 - researchgate.net
This paper proves the Hyers-Ulam stability and Hyers-Ulam-Rassias stability of nonlinear
impulsive Volterra integro-delay dynamic system on time scales via a fixed point approach …

[PDF][PDF] A coupled system of p-Laplacian implicit fractional differential equations depending on boundary conditions of integral type

D Nie, U Riaz, S Begum, A Zada - AIMS Math, 2023 - aimspress.com
A coupled system of $p$-Laplacian implicit fractional differential equations depending on
boundary conditions of integral type Page 1 http://www.aimspress.com/journal/Math AIMS …

Ulam stability of first-order nonlinear impulsive dynamic equations

P Scindia, S Tikare, AA El-Deeb - Boundary Value Problems, 2023 - Springer
This paper is devoted to the investigation of Ulam stability of first-order nonlinear impulsive
dynamic equations on finite-time scale intervals. Our main objective is to formulate sufficient …

[PDF][PDF] On the stability analysis of non–linear Hammerstein impulsive integro–dynamic system on time scales with delay

OS Syed, A Zada - Punjab University Journal of Mathematics, 2020 - journals.pu.edu.pk
This paper presents the Ulam's type stability results of non–linear Hammerstein impulsive
integro–dynamic system on time scales with delay, by using fixed point method. In order to …

[PDF][PDF] On coupled impulsive fractional integro-differential equations with Riemann-Liouville derivatives

X Wang, M Alam, A Zada - AIMS Math, 2020 - pdfs.semanticscholar.org
In this paper, we investigate the existence, uniqueness and stability of coupled impulsive
fractional integro-differential equations with Riemann-Liouville derivatives. To prove the …