On a New Class of Antiperiodic Fractional Boundary Value Problems by Bashir Ahmad, Juan J. Nieto, Ahmed Alsaedi, Nadia Mohamad

“…This paper investigates a new class of antiperiodic boundary value problems of higher order fractional differential equations. Some existence and uniqueness results are obtained by applying some standard fixed point principles. …”
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Noether symmetry of multi-delay Birkhoffian system and its conserved quantity by Xin-Yu Du, Xiang-Hua Zhai

“…The multi-delay differential equations of motion are derived for both Birkhoffian and Hamiltonian models. …”
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Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant by Haileyesus Tessema Alemneh, Oluwole Daniel Makinde, David Mwangi Theuri

“…In this paper, an ecoepidemiological deterministic model for the transmission dynamics of maize streak virus (MSV) disease in maize plant is proposed and analysed qualitatively using the stability theory of differential equations.The basic reproduction number with respect to the MSV free equilibrium is obtained using next generation matrix approach. …”
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Transient disturbances in a relaxing thermoelastic half space due to moving internal heat source by Sarbani Chakravorty, Amitava Chakravorty

“…The problem is reduced to the solution of three differential equations, one involving the elastic vector potential, and the other two coupled, involving the thermoelastic scalar potential and the temperature. …”
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Influence of weak injection on spatiotemporal instabilities in a broad-area vertical-cavity semiconductor laser by E.A. Yarunova, A.A. Krents, N.E. Molevich

“…The results are confirmed by the numerical solution of a system of differential equations. It is shown that the suppression of the modulation instability can be achieved by injecting into the resonator an external low-amplitude optical radiation.…”
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Solution Properties of Linear Descriptor (Singular) Matrix Differential Systems of Higher Order with (Non-) Consistent Initial Conditions by Athanasios A. Pantelous, Athanasios D. Karageorgos, Grigoris I. Kalogeropoulos, Kostas G. Arvanitis

“…In some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time-invariant coefficients and (non-) consistent initial conditions have been used. …”
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Research of Flexible Multibody Dynamics Modeling of Conveyor Belt by Wang Fansheng

“…Based on Lagrange equations of the second kind,the dynamics differential equations of rigid elements are established. …”
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The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems by Dumitru Baleanu, Sayyedeh Zahra Nazemi, Shahram Rezapour

“…There are many published papers about fractional integrodifferential equations and system of fractional differential equations. The goal of this paper is to show that we can investigate more complicated ones by using an appropriate basic theory. …”
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Operator Inequalities of Morrey Spaces Associated with Karamata Regular Variation by Jiajia Wang, Zunwei Fu, Shaoguang Shi, Ling Mi

“…Karamata regular variation is a basic tool in stochastic process and the boundary blow-up problems for partial differential equations (PDEs). Morrey space is closely related to study of the regularity of solutions to elliptic PDEs. …”
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Study on Synchronization of Two Eccentric Rotors Driven by Hydraulic Motors in One Vibrating System by Tianxia Zhang, Bangchun Wen, Jian Fan

“…In this article the synchronization of two eccentric rotors driven by hydraulic motors (TERDHM) in one vibrating system is studied. The differential equations of TERDHM motion are derived, and the synchronous and stable rotating conditions of TERDHM are established. …”
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Analysis of the Dynamic Load Sharing Characteristic of Two-stage Planetary Transmission by Li Siqian, Wu Shijing, Wang Xiaosun

“…To study the dynamic load sharing characteristics of two- stage planetary gear train,a translation- torsion coupling dynamics model is established by taking the nonlinear factors like time- varying mesh stiffness,position error,eccentric error,gear backlash and coupling stiffness into account,and the dimensionless dynamics differential equations for the system are derived and solved by numerical method. …”
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The Global Solutions and Moment Boundedness of Stochastic Multipantograph Equations by Maosheng Tian, Xuejing Meng, Jihong Chen, Xiaoqi Tang

“…Methods and techniques developed here have the potential to be applied in other unbounded delay stochastic differential equations.…”
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New Contractive Mappings and Their Fixed Points in Branciari Metric Spaces by Hayel N. Saleh, Mohammad Imdad, Thabet Abdeljawad, Mohammad Arif

“…Moreover, some examples and applications to boundary value problems of the fourth-order differential equations are given to exhibit the utility of the obtained results.…”
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BUCKLING OF BEAMS WITH A BOUNDARY ELEMENT TECHNIQUE by ABDERRAZEK MESSAOUDI, LASZLO PETER KISS

“…If the Green functions of these boundary value problems are known, the differential equations of the stability problems that contain the critical load sought can be turned into eigenvalue problems given by homogeneous Fredholm integral equations. …”
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Limit Cycles of a Class of Perturbed Differential Systems via the First-Order Averaging Method by Amor Menaceur, Salah Mahmoud Boulaaras, Amar Makhlouf, Karthikeyan Rajagobal, Mohamed Abdalla

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The effect of time delay in plant--pathogen interactions with host demography by Bruno Buonomo, Marianna Cerasuolo

“…We replace this hypothesis in the framework of delay differential equations by proposing a delayed epidemic model for plant--pathogen interactions with host demography. …”
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Strong Convergence of a New Hybrid Iterative Scheme for Nonexpensive Mappings and Applications by Jie Jia, Khurram Shabbir, Khushdil Ahmad, Nehad Ali Shah, Thongchai Botmart

“…By using the Picard-Thakur hybrid iterative scheme, we can find the solution of delay differential equations and also prove some convergence results for nonexpansive mapping in a uniformly convex Banach space.…”
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Dynamical Behaviors of the Stochastic Hopfield Neural Networks with Mixed Time Delays by Li Wan, Qinghua Zhou, Zhigang Zhou, Pei Wang

“…By employing the theory of stochastic functional differential equations and linear matrix inequality (LMI) approach, some novel criteria on asymptotic stability, ultimate boundedness, and weak attractor are derived. …”
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Numerical Solutions of a Variable-Order Fractional Financial System by Shichang Ma, Yufeng Xu, Wei Yue

“…Numerical examples show that the Adams-Bashforth-Moulton method can be applied to solve such variable-order fractional differential equations simply and effectively. The convergent order of the method is also estimated numerically. …”
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A Study on the Convergence of Series Solution of Non-Newtonian Third Grade Fluid with Variable Viscosity: By Means of Homotopy Analysis Method by R. Ellahi

“…Due to the nonlinear, coupled, and highly complicated nature of partial differential equations, finding an analytical solution is not an easy task. …”
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