Asymptotic Stability of Fractional Stochastic Neutral Differential Equations with Infinite Delays by R. Sakthivel, P. Revathi, N. I. Mahmudov

“…We study the existence and asymptotic stability in pth moment of a mild solution to a class of nonlinear fractional neutral stochastic differential equations with infinite delays in Hilbert spaces. …”
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Asymptotic Behavior of Bifurcation Curve for Sine-Gordon-Type Differential Equation by Tetsutaro Shibata

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On Asymptotic Behaviour of Solutions to n-Dimensional Systems of Neutral Differential Equations by H. Šamajová, E. Špániková

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Numerical Study of Random Periodic Lipschitz Shadowing of Stochastic Differential Equations by Qingyi Zhan, Xiangdong Xie

“…This paper is devoted to a new numerical approach for the possibility of (ω,Lδ)-periodic Lipschitz shadowing of a class of stochastic differential equations. The existence of (ω,Lδ)-periodic Lipschitz shadowing orbits and expression of shadowing distance are established. …”
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Iterative Construction of Fixed Points for Functional Equations and Fractional Differential Equations by Latif Ur Rahman, Muhammad Arshad, Sabri T. M. Thabet, Imed Kedim

“…This paper proposes some iterative constructions of fixed points for showing the existence and uniqueness of solutions for functional equations and fractional differential equations (FDEs) in the framework of CAT (0) spaces. …”
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A study on Hilfer–Katugampola fractional differential equations with boundary conditions by Jing Zhang, Haide Gou

“…Abstract In this paper, we investigate the existence of solutions of Hilfer-Katugampola fractional differential equations with boundary conditions. We first establish existence theory of solutions for the mentioned problem by the fixed point theory and the measure of noncompactness. …”
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Solution of Sequential Hadamard Fractional Differential Equations by Variation of Parameter Technique by Mohammed M. Matar

“…We obtain in this article a solution of sequential differential equation involving the Hadamard fractional derivative and focusing the orders in the intervals (1,2) and (2,3). …”
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Solvability and Optimal Controls of Semilinear Riemann-Liouville Fractional Differential Equations by Xue Pan, Xiuwen Li, Jing Zhao

“…We consider the control systems governed by semilinear differential equations with Riemann-Liouville fractional derivatives in Banach spaces. …”
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Existence of Solutions of Fractional Differential Equation with p-Laplacian Operator at Resonance by Zhigang Hu, Wenbin Liu, Jiaying Liu

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Introducing Randomness into First-Order and Second-Order Deterministic Differential Equations by John F. Moxnes, Kjell Hausken

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Fractional Order Stochastic Differential Equation with Application in European Option Pricing by Qing Li, Yanli Zhou, Xinquan Zhao, Xiangyu Ge

“…In recent years, fractional order ordinary differential equation is used as an effective instrument for describing the memory effect in complex systems. …”
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A numerical approach for solving Volterra delay integro-differential equation by Ilhame Amirali, Muhammet Enes Durmaz, Gabil M. Amiraliyev

“…In this paper, we propose a finite difference technique for approximating solutions of first-order Volterra delay integro-differential equation. The presented numerical method acquires a second-order convergence in discrete maximum norm. …”
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On Coupled p-Laplacian Fractional Differential Equations with Nonlinear Boundary Conditions by Aziz Khan, Yongjin Li, Kamal Shah, Tahir Saeed Khan

“…This paper is related to the existence and uniqueness of solutions to a coupled system of fractional differential equations (FDEs) with nonlinear p-Laplacian operator by using fractional integral boundary conditions with nonlinear term and also to checking the Hyers-Ulam stability for the proposed problem. …”
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Application of Natural Transform Method to Fractional Pantograph Delay Differential Equations by M. Valizadeh, Y. Mahmoudi, F. Dastmalchi Saei

“…In this paper, a new method based on combination of the natural transform method (NTM), Adomian decomposition method (ADM), and coefficient perturbation method (CPM) which is called “perturbed decomposition natural transform method” (PDNTM) is implemented for solving fractional pantograph delay differential equations with nonconstant coefficients. The fractional derivative is regarded in Caputo sense. …”
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Existence of Almost Periodic Solutions for Impulsive Neutral Functional Differential Equations by Junwei Liu, Chuanyi Zhang

“…The existence of piecewise almost periodic solutions for impulsive neutral functional differential equations in Banach space is investigated. Our results are based on Krasnoselskii’s fixed-point theorem combined with an exponentially stable strongly continuous operator semigroup. …”
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Study of Solutions to Some Functional Differential Equations with Piecewise Constant Arguments by Juan J. Nieto, Rosana Rodríguez-López

“…We provide optimal conditions for the existence and uniqueness of solutions to a nonlocal boundary value problem for a class of linear homogeneous second-order functional differential equations with piecewise constant arguments. …”
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Henry-Gronwall Integral Inequalities with “Maxima” and Their Applications to Fractional Differential Equations by Phollakrit Thiramanus, Jessada Tariboon, Sotiris K. Ntouyas

“…Applications to Caputo fractional differential equations with “maxima” are also presented.…”
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Dynamical Aspects of Initial/Boundary Value Problems for Ordinary Differential Equations by Jifeng Chu, Juntao Sun, Patricia J. Y. Wong, Yonghui Xia

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Properties of Third-Order Nonlinear Functional Differential Equations with Mixed Arguments by B. Baculíková

“…The aim of this paper is to offer sufficient conditions for property (B) and/or the oscillation of the third-order nonlinear functional differential equation with mixed arguments [𝑎(𝑡)[𝑥″(𝑡)]𝛾]′=𝑞(𝑡)𝑓(𝑥[𝜏(𝑡)])+𝑝(𝑡)ℎ(𝑥[𝜎(𝑡)]). …”
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On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative by Mehmet Merdan

“…International Journal of Differential Equations…”
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