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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Existence and forms of entire solutions to system of non-linear partial differential equations by Abhijit Banerjee, Jhuma Sarkar

“…Electronic Journal of Differential Equations…”
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Approximation Technique for Solving Linear Volterra Integro-Differential Equations with Boundary Conditions by Mohamed E. A. Alnair, Ahmed A. Khidir

“…This paper presents a new technique for solving linear Volterra integro-differential equations with boundary conditions. The method is based on the blending of the Chebyshev spectral methods. …”
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Self-adaptive physics-informed quantum machine learning for solving differential equations by Abhishek Setty, Rasul Abdusalamov, Felix Motzoi

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On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations by Maged Alkilayh

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Solution of Extraordinary Differential Equations with Physical Reasoning by Obtaining Modal Reaction Series by Shantanu Das

“…Mathematical modeling of many engineering and physics problem leads to extraordinary differential equations like Nonlinear, Delayed, and Fractional Order. …”
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Study of Convergence of Reduced Differential Transform Method for Different Classes of Differential Equations by Seyyedeh Roodabeh Moosavi Noori, Nasir Taghizadeh

“…International Journal of Differential Equations…”
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Application of Sumudu Decomposition Method to Solve Nonlinear System of Partial Differential Equations by Hassan Eltayeb, Adem Kılıçman

“…We develop a method to obtain approximate solutions of nonlinear system of partial differential equations with the help of Sumudu decomposition method (SDM). …”
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Recent Advances in Symmetry Groups and Conservation Laws for Partial Differential Equations and Applications by Maria Gandarias, Mariano Torrisi, Maria Bruzón, Rita Tracinà, Chaudry Masood Khalique

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Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions by J. Caballero, I. Cabrera, K. Sadarangani

“…We investigate the existence and uniqueness of positive solutions of the following nonlinear fractional differential equation with integral boundary value conditions, , , where , and is the Caputo fractional derivative and is a continuous function. …”
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The Convergence and MS Stability of Exponential Euler Method for Semilinear Stochastic Differential Equations by Chunmei Shi, Yu Xiao, Chiping Zhang

“…The numerical approximation of exponential Euler method is constructed for semilinear stochastic differential equations (SDEs). The convergence and mean-square (MS) stability of exponential Euler method are investigated. …”
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The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions by Dongxia Zan, Run Xu

“…In this paper, we investigated the system of fractional differential equations with integral boundary conditions. …”
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Iterative methods for solving fractional differential equations using non-polynomial splines by Faraidun K. Hamasalh, Gulnar W. Sadiq, Emad S. Salam

Subjects: “…fractional differential equation…”
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The Euler approximation of stochastic differential equations driven by a fractional Brownian motion by Kęstutis Kubilius

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