Analysis and numerical simulation of tuberculosis model using different fractional derivatives

ZUA Zafar, S Zaib, MT Hussain, C Tunç… - Chaos, Solitons & …, 2022‏ - Elsevier
The main goal of the current research is to study and explore dynamic behavior of
tuberculosis by using fractional mathematical model. In this study, recently introduced …

Controllability of second order semilinear random differential equations in Fréchet spaces

A Salim, F Mesri, M Benchohra, C Tunç - Mediterranean Journal of …, 2023‏ - Springer
This paper deals with the study of some existence and controllability results for a class of
second-order functional differential equations with random effects in Fréchet spaces. The …

Solution of linear and nonlinear singular value problems using operational matrix of integration of Taylor wavelets

Vivek, M Kumar, SN Mishra - Journal of Taibah University for …, 2023‏ - Taylor & Francis
In this paper, we present an effective method under Taylor wavelets and collocation
technique to find an approximate solution of linear and non-linear second-order singular …

Green–Haar wavelets method for generalized fractional differential equations

M ur Rehman, D Baleanu, J Alzabut, M Ismail… - Advances in Difference …, 2020‏ - Springer
The objective of this paper is to present two numerical techniques for solving generalized
fractional differential equations. We develop Haar wavelets operational matrices to …

On the asymptotic stability of solutions of stochastic differential delay equations of second order

O Tunç, C Tunç - Journal of Taibah University for Science, 2019‏ - Taylor & Francis
In this paper, we consider a non-linear stochastic differential delay equation (SDDE) of
second order. We derive new sufficient conditions which guarantee stochastically stability …

Solution of linear and nonlinear singular value problems using operational matrix of integration of Fibonacci wavelets

Vivek, M Kumar - Journal of Engineering Mathematics, 2024‏ - Springer
This article introduces a proficient method for solving both linear and nonlinear second-
order singular value differential equations within the framework of Fibonacci wavelets and …

[HTML][HTML] Analytical and numerical approximations to some coupled forced damped duffing oscillators

AH Salas, M Abu Hammad, BM Alotaibi, LS El-Sherif… - Symmetry, 2022‏ - mdpi.com
In this investigation, two different models for two coupled asymmetrical oscillators, known as,
coupled forced damped Duffing oscillators (FDDOs) are reported. The first model of coupled …

[HTML][HTML] Qualitative analyses of differential systems with time-varying delays via Lyapunov–Krasovskiĭ approach

C Tunç, O Tunç, Y Wang, JC Yao - Mathematics, 2021‏ - mdpi.com
In this paper, a class of systems of linear and non-linear delay differential equations (DDEs)
of first order with time-varying delay is considered. We obtain new sufficient conditions for …

On the behaviors of solutions of systems of non-linear differential equations with multiple constant delays

O Tunç - Revista de la Real Academia de Ciencias Exactas …, 2021‏ - Springer
In this paper, non-perturbed and perturbed systems of non-linear differential equations with
multiple constant delays are considered. Five new theorems on the qualitative properties of …

Bifurcation analysis of a discrete Phytoplankton–Zooplankton model with linear predational response function and toxic substance distribution

AQ Khan, F Nazir, MB Almatrafi - International Journal of …, 2023‏ - World Scientific
Phytoplanktons are drifting plants in an aquatic system. They provide food for marine
animals and are compared to terrestrial plants in that having chlorophyll and carrying out …