On Ulam's stability for a coupled systems of nonlinear implicit fractional differential equations

Z Ali, A Zada, K Shah - Bulletin of the Malaysian Mathematical Sciences …, 2019 - Springer
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 …

Existence and Hyers-Ulam stability of random impulsive stochastic functional differential equations with finite delays

S Li, L Shu, XB Shu, F Xu - Stochastics, 2019 - Taylor & Francis
In this paper, we investigate the existence and Hyers-Ulam stability for random impulsive
stochastic functional differential equations with finite delays. Firstly, we prove the existence …

Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses

A Zada, W Ali, S Farina - Mathematical methods in the Applied …, 2017 - Wiley Online Library
This paper is devoted to establish Bielecki–Ulam–Hyers–Rassias stability, generalized
Bielecki–Ulam–Hyers–Rassias stability, and Bielecki–Ulam–Hyers stability on a compact …

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 …

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

A Zada, J Alzabut, H Waheed, IL Popa - Advances in Difference Equations, 2020 - Springer
This paper is concerned with a class of impulsive implicit fractional integrodifferential
equations having the boundary value problem with mixed Riemann–Liouville fractional …

Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type

A Zada, W Ali, C Park - Applied Mathematics and Computation, 2019 - Elsevier
In this paper, we prove the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of a
class of higher order nonlinear delay differential equations with multiple bounded variable …

Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses

A Zada, S Ali - International Journal of Nonlinear Sciences and …, 2018 - degruyter.com
This paper deals with a new class of non-linear impulsive sequential fractional differential
equations with multi-point boundary conditions using Caputo fractional derivative, where …

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

A Zada, S Ali, Y Li - Advances in Difference Equations, 2017 - Springer
In this paper, we investigate four different types of Ulam stability, ie., Ulam-Hyers stability,
generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers …

Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem

Z Ali, A Zada, K Shah - Boundary Value Problems, 2018 - Springer
In this manuscript, we give some sufficient conditions for existence, uniqueness and various
kinds of Ulam stability for a toppled system of fractional order boundary value problems …

Hyers–Ulam stability of a coupled system of fractional differential equations of Hilfer–Hadamard type

M Ahmad, A Zada, J Alzabut - Demonstratio Mathematica, 2019 - degruyter.com
In this paper, existence and uniqueness of solution for a coupled impulsive Hilfer–
Hadamard type fractional differential system are obtained by using Kransnoselskii's fixed …