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 …

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 …

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 …

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 …

[PDF][PDF] Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator

K Kaushik, A Kumar, A Khan, T Abdeljawad - AIMS Math, 2023 - aimspress.com
In this manuscript, the main objective is to analyze the existence, uniqueness,(EU) and
stability of positive solution for a general class of non-linear fractional differential equation …

Ulam's-type stability of first-order impulsive differential equations with variable delay in quasi–Banach spaces

JR Wang, A Zada, W Ali - International Journal of Nonlinear Sciences …, 2018 - degruyter.com
In this paper, Ulam's-type stabilities are studied for a class of first-order impulsive differential
equations with bounded variable delays on compact interval with finite number of impulses …

[PDF][PDF] Utilizing fixed point approach to investigate piecewise equations with non-singular type derivative

K Shah, T Abdeljawad, B Abdalla, MS Abualrub - Aims Math, 2022 - aimspress.com
In this research work, we establish some new results about piecewise equation involving
Caputo Fabrizio derivative (CFD). The concerned class has been recently introduced and …

Stability analysis of higher order nonlinear differential equations in β–normed spaces

A Zada, S Shaleena, T Li - Mathematical Methods in the …, 2019 - Wiley Online Library
In this paper, we interrogate different Ulam type stabilities, ie, β–Ulam–Hyers stability,
generalized β–Ulam–Hyers stability, β–Ulam–Hyers–Rassias stability, and generalized β …