An Implicit Collocation Method for Direct Solution of Fourth Order Ordinary Differential Equations by B. Alechenu, D.O. Oyewola

“… This paper presented a linear multistep method for solving fourth order initial value problems of ordinary differential equations. Collocation and interpolation methods are adopted in the derivation of the new numerical scheme which is further applied to finding direct solution of fourth order ordinary differentiation equations. …”
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Approximations of Numerical Method for Neutral Stochastic Functional Differential Equations with Markovian Switching by Hua Yang, Feng Jiang

“…In this paper, we study the Euler-Maruyama (EM) method for neutral stochastic functional differential equations with Markovian switching. The main aim is to show that the numerical solutions will converge to the true solutions. …”
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An Extension of the Picard Theorem to Fractional Differential Equations with a Caputo-Fabrizio Derivative by H. R. Marasi, A. Soltani Joujehi, H. Aydi

“…In this paper, we consider fractional differential equations with the new fractional derivative involving a nonsingular kernel, namely, the Caputo-Fabrizio fractional derivative. …”
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Parameter Estimation for Stochastic Differential Equations Driven by Mixed Fractional Brownian Motion by Na Song, Zaiming Liu

“…We study the asymptotic properties of minimum distance estimator of drift parameter for a class of nonlinear scalar stochastic differential equations driven by mixed fractional Brownian motion. …”
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Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations by Hongyu Qin, Zhiyong Wang, Fumin Zhu, Jinming Wen

“…International Journal of Differential Equations…”
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Solution of Some Types of Differential Equations: Operational Calculus and Inverse Differential Operators by K. Zhukovsky

“…We develop the methodology of inverse and exponential operators, employing them for the study of partial differential equations. Advantages of the operational technique, combined with the use of integral transforms, generating functions with exponentials and their integrals, for solving a wide class of partial derivative equations, related to heat, wave, and transport problems, are demonstrated.…”
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Positive periodic solutions of nonautonomous functional differential equations depending on a parameter by Guang Zhang, Sui Sun Cheng

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Comparative Study on Numerical Methods for Singularly Perturbed Advanced-Delay Differential Equations by P. Hammachukiattikul, E. Sekar, A. Tamilselvan, R. Vadivel, N. Gunasekaran, Praveen Agarwal

“…In this paper, we consider a class of singularly perturbed advanced-delay differential equations of convection-diffusion type. We use finite and hybrid difference schemes to solve the problem on piecewise Shishkin mesh. …”
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Phase Synchronization in Coupled Sprott Chaotic Systems Presented by Fractional Differential Equations by G. H. Erjaee, M. Alnasr

“…We illustrate numerical phase synchronization results and stability analysis for some coupled Sprott chaotic systems presented by fractional differential equations.…”
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Third-Order Neutral Delay Differential Equations: New Iterative Criteria for Oscillation by Osama Moaaz, Emad E. Mahmoud, Wedad R. Alharbi

“…This study is aimed at developing new criteria of the iterative nature to test the oscillation of neutral delay differential equations of third order. First, we obtain a new criterion for the nonexistence of the so-called Kneser solutions, using an iterative technique. …”
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Periodicity, Stability, and Boundedness of Solutions to Certain Second Order Delay Differential Equations by A. T. Ademola, B. S. Ogundare, M. O. Ogundiran, O. A. Adesina

“…International Journal of Differential Equations…”
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Study of Nonlocal Boundary Value Problem for the Fredholm–Volterra Integro-Differential Equation by K. R. Raslan, Khalid K. Ali, Reda Gamal Ahmed, Hind K. Al-Jeaid, Amira Abd-Elall Ibrahim

“…In this paper, the existence and uniqueness of the Fredholm–Volterra integro-differential equation with the nonlocal condition will be studied. …”
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Existence and Uniqueness Results for a Class of Fractional Integro-Stochastic Differential Equations by Ayed. R. A. Alanzi, Shokrya S. Alshqaq, Raouf Fakhfakh, Abdellatif Ben Makhlouf

“…The objective of this paper is to demonstrate the existence and uniqueness (EU) of solutions to a class of Fractional Integro-Stochastic Differential Equations (FISDEs) by utilizing the fixed-point technique (FPT) and stochastic techniques. …”
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A Laplace decomposition algorithm applied to a class of nonlinear differential equations by Suheil A. Khuri

“…In this paper, a numerical Laplace transform algorithm which is based on the decomposition method is introduced for the approximate solution of a class of nonlinear differential equations. The technique is described and illustrated with some numerical examples. …”
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Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations by Said Melliani, Abdelati El Allaoui, Lalla Saadia Chadli

“…International Journal of Differential Equations…”
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A Third-Order Differential Equation and Starlikeness of a Double Integral Operator by Rosihan M. Ali, See Keong Lee, K. G. Subramanian, A. Swaminathan

“…Functions f(z)=z+∑2∞‍anzn that are analytic in the unit disk and satisfy the differential equation f'(z)+αzf''(z)+γz2f'''(z)=g(z) are considered, where g is subordinated to a normalized convex univalent function h. …”
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Maximum Likelihood Inference for Univariate Delay Differential Equation Models with Multiple Delays by Ahmed A. Mahmoud, Sarat C. Dass, Mohana S. Muthuvalu, Vijanth S. Asirvadam

“…This article presents statistical inference methodology based on maximum likelihoods for delay differential equation models in the univariate setting. Maximum likelihood inference is obtained for single and multiple unknown delay parameters as well as other parameters of interest that govern the trajectories of the delay differential equation models. …”
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Left- and Right-Shifted Fractional Legendre Functions with an Application for Fractional Differential Equations by Haidong Qu, Xiaopeng Yang, Zihang She

“…As an application, it is effective for solving the fractional-order differential equations with the initial value problem by using the SFLP tau method.…”
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Global Attractivity of Positive Periodic Solutions of Delay Differential Equations with Feedback Control by Zhi-Long Jin

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An Averaging Principle for Mckean–Vlasov-Type Caputo Fractional Stochastic Differential Equations by Weifeng Wang, Lei Yan, Junhao Hu, Zhongkai Guo

“…In this paper, we want to establish an averaging principle for Mckean–Vlasov-type Caputo fractional stochastic differential equations with Brownian motion. Compared with the classic averaging condition for stochastic differential equation, we propose a new averaging condition and obtain the averaging convergence results for Mckean–Vlasov-type Caputo fractional stochastic differential equations.…”
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