Ayman M. Mahmoud

Scopus Publications

Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay
Ayman M. Mahmoud
Boundary Value Problems, 2024
In this work, we examine a third-order nonlinear neutral integro-differential equation with constant delay. By building a Lyapunov functional, we obtain some sufficient criteria that ensure the asymptotic stability and boundedness of solutions for an analyzed equation. We present two examples to demonstrate the applicability of our conclusions, which extend and improve several well-known results in the literature.
On the qualitative behaviors of stochastic delay integro-differential equations of second order
Ayman M. Mahmoud, Cemil Tunç
Journal of Inequalities and Applications, 2024
In this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE).To demonstrate the main results, we employ a Lyapunov functional. An example is provided to demonstrate the applicability of the obtained result, which includes the results of this paper and obtains better results than those available in the literature.
Asymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delay
A. M. Mahmoud, D. A. Eisa, R. O. A. Taie, D. A. M. Bakhit
Boundary Value Problems, 2024
In the present paper, we study stochastic stability and stochastic boundedness for the stochastic differential equation (SDE) with multi-delay of third order. The derived results extend and improve some earlier results in the relevant literature, which are related to the qualitative properties of solutions to third-order delay differential equations (DDEs) and SDEs with multi-delay. Two examples are given to illustrate the results.
On behaviours for the solution to a certain third-order stochastic integro-differential equation with time delay
Filomat, 2024
On the properties of solutions for nonautonomous third-order stochastic differential equation with a constant delay
AYMAN MOHAMMED MAHMOUD, DOAA ALI MOHAMED BAKHIT
Turkish Journal of Mathematics, 2023
Elite Oppositional Hunger Games Search Optimization Based Cooperative Spectrum Sensing Scheme for 6G Cognitive Radio Networks
Emad A.‐B. Abdel‐Salam, Ayman M. Mahmoud, Romany F. Mansour
AI Enabled 6g Networks and Applications, 2023
Stochastic stability of solutions for a fourth-order stochastic differential equation with constant delay
Ayman M. Mahmoud, Adebayo O. Adewumi, Adeleke T. Ademola
Journal of Inequalities and Applications, 2023
In this paper, we present sufficient conditions to ensure the stochastic asymptotic stability of the zero solution for a specific type of fourth-order stochastic differential equation (SDE) with constant delay. By reducing the fourth-order SDE to a system of first-order SDEs, we utilize a fourth-order quadratic function to derive an appropriate Lyapunov functional. This functional is then employed to establish standard criteria for the nonlinear functions present in the SDE. The stability result obtained in this study is novel and extends the existing findings on stability in fourth-order differential equations. Additionally, we provide an illustrative example to demonstrate the significance and accuracy of our main result.
On the behaviour of solutions to a kind of third order neutral stochastic differential equation with delay
Ayman M. Mahmoud, Adeleke T. Ademola
Advances in Continuous and Discrete Models, 2022
This article demonstrates the behaviour of solutions to a kind of nonlinear third order neutral stochastic differential equations. Setting $x^{\\prime }(t)=y(t)$ x ′ ( t ) = y ( t ) , $y^{\\prime }(t) =z(t)$ y ′ ( t ) = z ( t ) the third order differential equation is ablated to a system of first order differential equations together with its equivalent quadratic function to derive a suitable downright Lyapunov functional. This functional is utilised to obtain criteria which guarantee stochastic stability of the trivial solution and stochastic boundedness of the nontrivial solutions of the discussed equations. Furthermore, special cases are provided to verify the effectiveness and reliability of our hypotheses. The results of this paper complement the existing decisions on system of nonlinear neutral stochastic differential equations with delay and extend many results on third order neutral and stochastic differential equations with and without delay in the literature.
Human activity recognition using cell phone-based accelerometer and convolutional neural network
Ashwani Prasad, Amit Kumar Tyagi, Maha M. Althobaiti, Ahmed Almulihi, Romany F. Mansour, et al.
Applied Sciences Switzerland, 2021
Human Activity Recognition (HAR) has become an active field of research in the computer vision community. Recognizing the basic activities of human beings with the help of computers and mobile sensors can be beneficial for numerous real-life applications. The main objective of this paper is to recognize six basic human activities, viz., jogging, sitting, standing, walking and whether a person is going upstairs or downstairs. This paper focuses on predicting the activities using a deep learning technique called Convolutional Neural Network (CNN) and the accelerometer present in smartphones. Furthermore, the methodology proposed in this paper focuses on grouping the data in the form of nodes and dividing the nodes into three major layers of the CNN after which the outcome is predicted in the output layer. This work also supports the evaluation of testing and training of the two-dimensional CNN model. Finally, it was observed that the model was able to give a good prediction of the activities with an average accuracy of 89.67%. Considering that the dataset used in this research work was built with the aid of smartphones, coming up with an efficient model for such datasets and some futuristic ideas pose open challenges in the research community.
Stability and ultimate boundedness for Non-autonomous system with variable delay
Applied Mathematics and Information Sciences, 2020
Asymptotic stability of solutions for a kind of third-order stochastic differential equations with delays
Ayman M. Mahmoud, Cemil Tunc
Miskolc Mathematical Notes, 2019
On stability and boundedness of solutions of a certain non-autonomous third-order functional differential equation with multiple deviating arguments
Differencialnie Uravnenia I Protsesy Upravlenia, 2019
Asymptotic stability of solutions for a certain non-autonomous second-order stochastic delay differential equation
Ahmed Mohamed ABOU-EL-ELA, Abdel-Rahiem SADEK, Ayman Mohammed MAHMOUD, Eman Sayed FARGHALY
Turkish Journal of Mathematics, 2017
Stability and boundedness of solutions of a certain n-dimensional nonlinear delay differential system of third-order
Ayman M. Mahmoud, Cemil Tunç
Advances in Pure and Applied Mathematics, 2016
A stability result for the solutions of a certain system of fourth-order delay differential equation
A. M. A. Abou-El-Ela, A. I. Sadek, A. M. Mahmoud, R. O. A. Taie
International Journal of Differential Equations, 2015
Existence and uniqueness of a periodic solution for third-order delay differential equation with two deviating arguments
Iaeng International Journal of Applied Mathematics, 2012
Periodic solutions for a kind of third-order delay differential equations with a deviating argument
Journal of Mathematical Sciences, 2011

RECENT SCHOLAR PUBLICATIONS

On q-Bessel matrix polynomials
A Shehata, M Tawfik, AM Mahmoud, N Mostafa
arXiv preprint arXiv:2510.18885 , 2025
2025
Citations: 1
Using Residual Network for Plant Leaf Disease Image Classification
AM Mahmoud, RF Mansour, GF Badran
New Valley University Journal of Basic and Applied Sciences 3 (1), 34-45 , 2025
2025
Citations: 2
New qualitative results to a kind of non-autonomous third-order neutral delay differential equations
AM Mahmoud
Delta Journal of Science 50 (1), 66-84 , 2025
2025
Stability and boundedness of solutions to a certain third-order neutral integro-differential equation with constant delay
AM Mahmoud
Boundary Value Problems 2024 (1), 133 , 2024
2024
Citations: 3
Asymptotic behaviour and boundedness of solutions for third-order stochastic differential equation with multi-delay
AM Mahmoud, DA Eisa, ROA Taie, DAM Bakhit
Boundary Value Problems 2024 (1), 49 , 2024
2024
Citations: 1
On the qualitative behaviors of stochastic delay integro-differential equations of second order
AM Mahmoud, C Tunç
Journal of Inequalities and Applications 2024 (1), 35 , 2024
2024
Citations: 7
On behaviours for the solution to a certain third-order stochastic integro-differential equation with time delay
AM Mahmoud, DAM Bakhit
Filomat 38 (2), 487-504 , 2024
2024
Citations: 3
Stochastic stability of solutions for a fourth-order stochastic differential equation with constant delay
AM Mahmoud, AO Adewumi, AT Ademola
Journal of Inequalities and Applications 2023 (1), 148 , 2023
2023
Citations: 3
Stability, continuability, and boundedness for solutions to the second order stochastic delay integro-differential equation
AM Mahmoud
2023
Citations: 1
On the properties of solutions for nonautonomous third-order stochastic differential equation with a constant delay
AM MAHMOUD, DALIM BAKHIT
Turkish Journal of Mathematics 47 (1), 135 – 158 , 2023
2023
Citations: 8
Elite oppositional hunger games search optimization based cooperative spectrum sensing scheme for 6G cognitive radio networks
EAB Abdel‐Salam, AM Mahmoud, RF Mansour
AI‐Enabled 6G Networks and Applications, 131-151 , 2023
2023
Citations: 2
Some qualitative properties of solutions for multi-delay nonautonomous stochastic Liénard equation
AM Mahmoud, A Elamin, SEA Elhussein, ME Eboelhasan
Dyn. Syst. Appl 32, 81-101 , 2023
2023
Citations: 1
Early CT and MRI signs of invasive fungal sinusitis complicating COVID-19 infection: case report
A Samir, MS Abdel-Gawad, AM Elabd, WM Abed, A Mahmoud, ...
The Egyptian Journal of Otolaryngology 38 (1), 17 , 2022
2022
Citations: 3
A New Numerical Mechanism for Solving Two Models of Variable Order Delay Diﬀerential Equations
MB Melad, HF Ahmed, AM Mahmoud
Delta Journal of Science 45 (1), 75-97 , 2022
2022
On the behaviour of solutions to a kind of third order neutral stochastic differential equation with delay
AM Mahmoud, AT Adeleke
Advances in Continuous and Discrete Models 28, 1-22 , 2022
2022
Citations: 9
Periodic behaviour of solution for a kind of third-order neutral delay differential equation
AM Mahmoud, DAM Bakhit
New Valley University Journal of Basic and Applied Sciences , 2022
2022
Human activity recognition using cell phone-based accelerometer and convolutional neural network
A Prasad, AK Tyagi, MM Althobaiti, A Almulihi, RF Mansour, ...
Applied Sciences 11 (24), 12099 , 2021
2021
Citations: 47
Boundedness and exponential stability for a certain third-order stochastic delay differential equation
Mahmoud, Tunç
Dynam. Systems Appl. 29 (2), 288-302 , 2020
2020
Citations: 7
Stability and Ultimate Boundedness for Non- Autonomous System with Variable Delay
MAHMOUD, TUNC
Applied Mathematics & Information Sciences 14 (3), 431-440 , 2020
2020
Citations: 3
ASYMPTOTIC STABILITY OF SOLUTIONS FOR A KIND OF THIRD-ORDER STOCHASTIC DIFFERENTIAL EQUATIONS WITH DELAYS
MAHMOUD, TUNC
Miskolc Mathematical Notes 20 (1), 381–393 , 2019
2019
Citations: 16

MOST CITED SCHOLAR PUBLICATIONS

Human activity recognition using cell phone-based accelerometer and convolutional neural network
A Prasad, AK Tyagi, MM Althobaiti, A Almulihi, RF Mansour, ...
Applied Sciences 11 (24), 12099 , 2021
2021
Citations: 47
On the stochastic stability and boundedness of solutions for stochastic delay differential equation of the second order
AMA Abou-El-Ela, AI Sadek, AM Mahmoud, ROA Taie
Chinese Journal of Mathematics 2015 (1), 358936 , 2015
2015
Citations: 30
On the stability of solutions for certain second-order stochastic delay differential equations
AMA Abou-El-Ela, AI Sadek, AM Mahmoud
Differential Equations and Control Processes 2, 1-13 , 2015
2015
Citations: 29
Asymptotic stability of solutions for a certain non-autonomous second-order stochastic delay differential equation
AM Abou-El-Ela, AR Sadek, AM Mahmoud, ES Farghaly
Turkish Journal of Mathematics 41 (3), 576-584 , 2017
2017
Citations: 20
Existence and uniqueness of a periodic solution for third-order delay differential equation with two deviating arguments
AMA Abou-El-Ela, AI Sadek, AM Mahmoud
IAENG Int. J. Appl. Math 42 (1), 7-12 , 2012
2012
Citations: 19
ASYMPTOTIC STABILITY OF SOLUTIONS FOR A KIND OF THIRD-ORDER STOCHASTIC DIFFERENTIAL EQUATIONS WITH DELAYS
MAHMOUD, TUNC
Miskolc Mathematical Notes 20 (1), 381–393 , 2019
2019
Citations: 16
On the Asymptotic Stability of Solutions for a Certain Non-autonomous Third-order Delay Diff erential Equation
AM Mahmoud
British Journal of Mathematics & Computer Science, 1-12 , 2016
2016
Citations: 13
Stability and boundedness of solutions of a certain n-dimensional nonlinear delay differential system of third-order.
AM Mahmoud, C Tunç
Advances in Pure & Applied Mathematics 7 (1) , 2016
2016
Citations: 13
Stability and boundedness of solutions of certain third order non linear delay differential equation
M Abou-El-Ela, Sadek
ICGST-ACSE Journal 9 (1), 9-15 , 2009
2009
Citations: 13
On the stability of solutions of certain fourth-order nonlinear nonautonomous delay differential equation
AMA Abou-El-Ela, AI Sadek, AM Mahmoud
Int. J. Appl. Math 22 (2), 245-258 , 2009
2009
Citations: 13
On the behaviour of solutions to a kind of third order neutral stochastic differential equation with delay
AM Mahmoud, AT Adeleke
Advances in Continuous and Discrete Models 28, 1-22 , 2022
2022
Citations: 9
ON THE BEHAVIOUR OF SOLUTIONS FOR A CLASS OF THIRD ORDER NEUTRAL DELAY DIFFERENTIAL EQUATIONS
AT ADEMOLA, AM MAHMOUD, PO ARAWOMO
Annals of Oradea University - Mathematics Fascicola 2 (Tom XXVI), 85–103 , 2019
2019
Citations: 9
Stability of solutions for certain third-order nonlinear stochastic delay differential equations
AMA Abou-El-Ela, AI Sadek, AM Mahmoud, ES Farghaly
应用数学年刊: 英文版, 253-261 , 2015
2015
Citations: 9
On the properties of solutions for nonautonomous third-order stochastic differential equation with a constant delay
AM MAHMOUD, DALIM BAKHIT
Turkish Journal of Mathematics 47 (1), 135 – 158 , 2023
2023
Citations: 8
Periodic solutions for a kind of third-order delay differential equations with a deviating argument
AMA Abou-El-Ela, AI Sadek, AM Mahmoud
J. Math. Sci. Univ. Tokyo 18 (1), 35-49 , 2011
2011
Citations: 8
On the qualitative behaviors of stochastic delay integro-differential equations of second order
AM Mahmoud, C Tunç
Journal of Inequalities and Applications 2024 (1), 35 , 2024
2024
Citations: 7
Boundedness and exponential stability for a certain third-order stochastic delay differential equation
Mahmoud, Tunç
Dynam. Systems Appl. 29 (2), 288-302 , 2020
2020
Citations: 7
New stability and boundedness results for solutions of a certain third-order nonlinear stochastic differential equation
Abou-El-Ela, Sadek, Mahmoud, Farghaly
Asian Journal of Mathematics and Computer Research 5 (1), 60-70 , 2015
2015
Citations: 7
On the stability of solutions to a certain fourth-order vector delay differential equation
AMA Abou-El-Ela, AI Sadek, AM Mahmoud
Ann. Differential Equations() , 2012
2012
Citations: 7
A Stability Result for the Solutions of a Certain System of Fourth‐Order Delay Differential Equation
AMA Abou-El-Ela, AI Sadek, AM Mahmoud, ROA Taie
International Journal of Differential Equations 2015 (1), 618359 , 2015
2015
Citations: 5

Ayman M. Mahmoud

RESEARCH INTERESTS

Scopus Publications

RECENT SCHOLAR PUBLICATIONS

MOST CITED SCHOLAR PUBLICATIONS