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Special Issue: Dynamical Systems and Ordinary, Partial & Integro-Differential Equations

Guest Editors

Prof. Erkan Oterkus
Department of Naval Architecture, Ocean and Marine Engineering, University of Strathclyde, Glasgow, United Kingdom
Email: erkan.oterkus@strath.ac.uk


Prof. Selda Oterkus
Department of Naval Architecture, Ocean & Marine Engineering, University of Strathclyde, Glasgow, UK
Email: selda.oterkus@strath.ac.uk


Prof. Hatice Secil Artem    
Izmir Institute of Technology, Department of Mechanical Engineering, Turkey
Email: secilartem@iyte.edu.tr


Prof. Levent Aydin
Department of Mechanical Engineering, İzmir Katip Çelebi University, Turkey
Email: leventaydinn@gmail.com


Manuscript Topics

Everything in the world is a dynamical system which changes as a function of time. These changes are sometimes very slow and such systems are assumed as static to simplify the calculations only. To represent the correct physics of the dynamical systems, ordinary, partial and integro-differential equations are widely utilized depending on the problem of interest. Analytical solutions of such equations are not always feasible. In such cases, various available numerical techniques can be utilized such as finite element method, finite difference method, peridynamics, etc. Hence, this special issue focuses on the recent developments of representing dynamical systems with ordinary, partial and integro-differential equations and associated solution methodologies.


Instructions for authors
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Please submit your manuscript to online submission system
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Paper Submission

All manuscripts will be peer-reviewed before their acceptance for publication. The deadline for manuscript submission is 30 December 2021

Published Papers(10)

Research article
Existence of solutions of an impulsive integro-differential equation with a general boundary value condition
Bing Hu Minbo Xu Zhizhi Wang Jiahui Lin Luyao Zhu Dingjiang Wang
2022, Volume 19, Issue 4: 4166-4177. doi: 10.3934/mbe.2022192
Abstract HTML PDF Cited (1) Viewed (2200)
Research article
Quasilinearization method for an impulsive integro-differential system with delay
Bing Hu Zhizhi Wang Minbo Xu Dingjiang Wang
2022, Volume 19, Issue 1: 612-623. doi: 10.3934/mbe.2022027
Abstract HTML PDF Cited (3) Viewed (2216)
Research article
Modeling the trajectory of motion of a linear dynamic system with multi-point conditions
ZUBOVA Svetlana Petrovna RAETSKIY Kirill Alexandrovich
2021, Volume 18, Issue 6: 7861-7876. doi: 10.3934/mbe.2021390
Abstract HTML PDF Cited (1) Viewed (2757)
Research article
Application of supervised machine learning as a method for identifying DEM contact law parameters
Piotr Klejment
2021, Volume 18, Issue 6: 7490-7505. doi: 10.3934/mbe.2021370
Abstract HTML PDF Cited (9) Viewed (3726)
Research article
Fuzzy integral inequalities on coordinates of convex fuzzy interval-valued functions
Muhammad Bilal Khan Pshtiwan Othman Mohammed Muhammad Aslam Noor Khadijah M. Abualnaja
2021, Volume 18, Issue 5: 6552-6580. doi: 10.3934/mbe.2021325
Abstract HTML PDF Cited (34) Viewed (2897)
Research article
Initial boundary value problem for fractional $ p $-Laplacian Kirchhoff type equations with logarithmic nonlinearity
Peng Shi Min Jiang Fugeng Zeng Yao Huang
2021, Volume 18, Issue 3: 2832-2848. doi: 10.3934/mbe.2021144
Abstract HTML PDF Viewed (3390)
Research article
Bernstein collocation method for neutral type functional differential equation
Ishtiaq Ali
2021, Volume 18, Issue 3: 2764-2774. doi: 10.3934/mbe.2021140
Abstract HTML PDF Cited (3) Viewed (2783)
Research article
Exponential stabilization of fixed and random time impulsive delay differential system with applications
A. Vinodkumar T. Senthilkumar S. Hariharan J. Alzabut
2021, Volume 18, Issue 3: 2384-2400. doi: 10.3934/mbe.2021121
Abstract HTML PDF Cited (17) Viewed (2942)
Research article
Global stability of age-of-infection multiscale HCV model with therapy
Xiaowen Xiong Yanqiu Li Bingliang Li
2021, Volume 18, Issue 3: 2182-2205. doi: 10.3934/mbe.2021110
Abstract HTML PDF Cited (1) Viewed (2905)
Research article
New formulation for discrete dynamical type inequalities via $ h $-discrete fractional operator pertaining to nonsingular kernel
Maysaa Al Qurashi Saima Rashid Sobia Sultana Hijaz Ahmad Khaled A. Gepreel
2021, Volume 18, Issue 2: 1794-1812. doi: 10.3934/mbe.2021093
Abstract HTML PDF Cited (14) Viewed (2442)