Necessary and sufficient conditions for global-in-time existence of solutions of ordinary, stochastic, and parabolic differential equations by Yuri E. Gliklikh

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A Study of Impulsive Multiterm Fractional Differential Equations with Single and Multiple Base Points and Applications by Yuji Liu, Bashir Ahmad

“…We discuss the existence and uniqueness of solutions for initial value problems of nonlinear singular multiterm impulsive Caputo type fractional differential equations on the half line. Our study includes the cases for a single base point fractional differential equation as well as multiple base points fractional differential equation. …”
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Hartman-Type and Lyapunov-Type Inequalities for a Fractional Differential Equation with Fractional Boundary Conditions by Imed Bachar, Hassan Eltayeb

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A New Efficient Method for Solving Two-Dimensional Nonlinear System of Burger’s Differential Equations by Shams A. Ahmed, Mohamed Elbadri, Mohamed Z. Mohamed

“…In this work, the Sumudu decomposition method (SDM) is utilized to obtain the approximate solution of two-dimensional nonlinear system of Burger’s differential equations. This method is considered to be an effective tool in solving many problems. …”
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Positive and Nondecreasing Solutions to an m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation by I. J. Cabrera, J. Harjani, K. B. Sadarangani

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On the Asymptotic Properties of Nonlinear Third-Order Neutral Delay Differential Equations with Distributed Deviating Arguments by Youliang Fu, Yazhou Tian, Cuimei Jiang, Tongxing Li

“…This paper is concerned with the asymptotic properties of solutions to a third-order nonlinear neutral delay differential equation with distributed deviating arguments. …”
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Numerical Solution of the Fractional Partial Differential Equations by the Two-Dimensional Fractional-Order Legendre Functions by Fukang Yin, Junqiang Song, Yongwen Wu, Lilun Zhang

“…A numerical method is presented to obtain the approximate solutions of the fractional partial differential equations (FPDEs). The basic idea of this method is to achieve the approximate solutions in a generalized expansion form of two-dimensional fractional-order Legendre functions (2D-FLFs). …”
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Alternative Legendre Polynomials Method for Nonlinear Fractional Integro-Differential Equations with Weakly Singular Kernel by Guodong Shi, Yanlei Gong, Mingxu Yi

“…In this paper, we present a numerical scheme for finding numerical solution of a class of weakly singular nonlinear fractional integro-differential equations. This method exploits the alternative Legendre polynomials. …”
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Existence Results for a Class of p-Laplacian Fractional Differential Equations with Integral Boundary Conditions by SunAe Pak, KumSong Jong, KyuNam O, HuiChol Choi

“…In this paper, we investigate the existence and uniqueness of solutions for a class of integral boundary value problems of nonlinear fractional differential equations with p-Laplacian operator. We obtain some existence and uniqueness results concerned with our problem by using Schaefer’s fixed-point theorem and Banach contraction mapping principle. …”
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On Some Pursuit and Evasion Differential Game Problems for an Infinite Number of First-Order Differential Equations by Abbas Badakaya Ja'afaru, Gafurjan Ibragimov

“…We study pursuit and evasion differential game problems described by infinite number of first-order differential equations with function coefficients in Hilbert space l2. …”
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Existence for Eventually Positive Solutions of High-Order Nonlinear Neutral Differential Equations with Distributed Delay by Huanhuan Zhao, Youjun Liu, Jurang Yan

“…We consider the existence for eventually positive solutions of high-order nonlinear neutral differential equations with distributed delay. We use Lebesgue's dominated convergence theorem to obtain new necessary and sufficient condition for the existence of eventually positive solutions.…”
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Existence of Positive Periodic Solutions for a Class of Higher-Dimension Functional Differential Equations with Impulses by Zhang Suping, Jiang Wei

“…By employing the Krasnoselskii fixed point theorem, we establish some criteria for the existence of positive periodic solutions of a class of n-dimension periodic functional differential equations with impulses, which improve the results of the literature.…”
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Fully Coupled Mean-Field Forward-Backward Stochastic Differential Equations and Stochastic Maximum Principle by Hui Min, Ying Peng, Yongli Qin

“…We discuss a new type of fully coupled forward-backward stochastic differential equations (FBSDEs) whose coefficients depend on the states of the solution processes as well as their expected values, and we call them fully coupled mean-field forward-backward stochastic differential equations (mean-field FBSDEs). …”
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Instability of a Fifth-Order Nonlinear Vector Delay Differential Equation with Multiple Deviating Arguments by Cemil Tunç

“…We study a fifth-order nonlinear vector delay differential equation with multiple deviating arguments. …”
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An Efficient Numerical Approach for Solving Nonlinear Coupled Hyperbolic Partial Differential Equations with Nonlocal Conditions by A. H. Bhrawy, M. A. Alghamdi, Eman S. Alaidarous

“…One of the most important advantages of collocation method is the possibility of dealing with nonlinear partial differential equations (PDEs) as well as PDEs with variable coefficients. …”
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Some Coincidence and Common Fixed Point Results in Fuzzy Metric Space with an Application to Differential Equations by Saif Ur Rehman, Iqra Shamas, Naeem Jan, Abdu Gumaei, Mabrook Al-Rakhami

“…In addition, we present an application of fuzzy differential equations to support our work.…”
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A 4-Point Block Method for Solving Higher Order Ordinary Differential Equations Directly by Nazreen Waeleh, Zanariah Abdul Majid

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Averaging Principle for Caputo Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion with Delays by Pengju Duan, Hao Li, Jie Li, Pei Zhang

“…In this article, we investigate a class of Caputo fractional stochastic differential equations driven by fractional Brownian motion with delays. …”
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A note for the global stability of a delay differential equation of hepatitis B virus infection by Bao-Zhu Guo, Li-Ming Cai

“…Kuang and J.D.Nagy,Dynamics of a delay differential equation model of hepatitis B virus infection, Journal of Biological Dynamics, 2(2008), 140-153].…”
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Existence and Uniqueness Results of Volterra–Fredholm Integro-Differential Equations via Caputo Fractional Derivative by Ameth Ndiaye, Fulgence Mansal

“…In this paper, we study a Volterra–Fredholm integro-differential equation. The considered problem involves the fractional Caputo derivatives under some conditions on the order. …”
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