On Hyers–Ulam stability of a multi-order boundary value problems via Riemann–Liouville derivatives and integrals

S Ben Chikh, A Amara, S Etemad… - Advances in difference …, 2020 - Springer
In this research paper, we introduce a general structure of a fractional boundary value
problem in which a 2-term fractional differential equation has a fractional bi-order setting of …

Analysis of q‐fractional implicit boundary value problems having Stieltjes integral conditions

A Zada, M Alam, U Riaz - Mathematical Methods in the Applied …, 2021 - Wiley Online Library
In this article, we make analysis of the implicit q‐fractional differential equations involving
integral boundary conditions associated with Stieltjes integral and its corresponding coupled …

Existence and stability of implicit fractional differential equations with Stieltjes boundary conditions involving Hadamard derivatives

D Luo, M Alam, A Zada, U Riaz, Z Luo - Complexity, 2021 - Wiley Online Library
In this article, we make analysis of the implicit fractional differential equations involving
integral boundary conditions associated with Stieltjes integral and its corresponding coupled …

Analysis of Q-Fractional Implicit Differential Equation with Nonlocal Riemann–Liouville and Erdélyi-Kober Q-Fractional Integral Conditions

A Zada, M Alam, KH Khalid, R Iqbal, IL Popa - Qualitative theory of …, 2022 - Springer
This manuscript aims to present the existence, uniqueness, and various kinds of Ulam's
stability for the solution of the implicit q-fractional differential equation corresponding to …

Stability and controllability study for mixed integral fractional delay dynamic systems endowed with impulsive effects on time scales

HA Hammad, M De la Sen - Fractal and Fractional, 2023 - mdpi.com
In this article, we investigate a novel class of mixed integral fractional delay dynamic
systems with impulsive effects on time scales. Also, fixed-point techniques are applied to …

Analysis of fractional integro causal evolution impulsive systems on time scales

B Pervaiz, A Zada, IL Popa… - … Methods in the …, 2023 - Wiley Online Library
In this article, we study the existence and uniqueness along with Ulam‐type stability of
fractional integro causal evolution impulsive systems on time scales. To establish our main …

An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects

B Pervaiz, A Zada, S Etemad, S Rezapour - Advances in Difference …, 2021 - Springer
In this article, we establish a new class of mixed integral fractional delay dynamic systems
with impulsive effects on time scales. We investigate the qualitative properties of the …

Well‐posedness and Hyers‐Ulam results for a class of impulsive fractional evolution equations

H Waheed, A Zada, J Xu - Mathematical Methods in the …, 2021 - Wiley Online Library
In this work, we establish a new class of nonlinear implicit fractional evolution equation with
integrable impulses. We investigate the qualitative properties of PC‐mild solution of the …

Controllability of impulsive non–linear delay dynamic systems on time scale

A Zada, L Alam, P Kumam, W Kumam, G Ali… - IEEE …, 2020 - ieeexplore.ieee.org
In this paper, we obtain the results of controllability for first order impulsive non–linear time
varying delay dynamic systems and Hammerstein impulsive system on time scale, using the …

Analysis of q‐fractional coupled implicit systems involving the nonlocal Riemann–Liouville and Erdélyi–Kober q‐fractional integral conditions

M Alam, KH Khalid - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
The solutions to fractional differential equations are a developing area of current research,
given that these equations arise in various domains. In this article, we provide some …