Positive Solutions for a System of Hadamard-Type Fractional Differential Equations with Semipositone Nonlinearities by Youzheng Ding, Jiqiang Jiang, Donal O’Regan, Jiafa Xu

“…In this paper, we use the fixed-point index and nonnegative matrices to study the existence of positive solutions for a system of Hadamard-type fractional differential equations with semipositone nonlinearities.…”
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Fractional Variational Iteration Method for Solving Fractional Partial Differential Equations with Proportional Delay by Brajesh Kumar Singh, Pramod Kumar

“…International Journal of Differential Equations…”
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Existence and Stability for a Nonlinear Coupled p-Laplacian System of Fractional Differential Equations by Merfat Basha, Binxiang Dai, Wadhah Al-Sadi

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Research on boundary control of vehicle-mounted flexible manipulator based on partial differential equations. by Yuzhi Tang

“…We present a novel mathematical model, derived using Hamilton's principle, which simplifies the analysis of the arm's dynamic behaviors by employing partial differential equations (PDEs). This model allows us to understand how these arms behave over time and space, classifying them as distributed parameter systems. …”
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Numerical Investigation of Fractional-Order Differential Equations via φ-Haar-Wavelet Method by F. M. Alharbi, A. M. Zidan, Muhammad Naeem, Rasool Shah, Kamsing Nonlaopon

“…In this paper, we propose a novel and efficient numerical technique for solving linear and nonlinear fractional differential equations (FDEs) with the φ-Caputo fractional derivative. …”
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Stochastic differential equations to model influenza transmission with continuous and discrete-time Markov chains by Kazi Mehedi Mohammad, Md. Kamrujjaman

“…Since the basic reproduction number R0 is not sufficient to predict the outbreak, we apply the discrete-time Markov chain (DTMC), continuous-time Markov chain (CTMC), and Itô stochastic differential equations (SDEs) to calculate the probability of the disease outbreak. …”
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Multiscale effective connectivity analysis of brain activity using neural ordinary differential equations. by Yin-Jui Chang, Yuan-I Chen, Hannah M Stealey, Yi Zhao, Hung-Yun Lu, Enrique Contreras-Hernandez, Megan N Baker, Edward Castillo, Hsin-Chih Yeh, Samantha R Santacruz

“…Here we introduce a neurobiological-driven deep learning model, termed multiscale neural dynamics neural ordinary differential equation (msDyNODE), to describe multiscale brain communications governing cognition and behavior. …”
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Exponential Stability for an Opinion Formation Model with a Leader Associated with Fractional Differential Equations by Dussadee Somjaiwang, Parinya Sa Ngiamsunthorn

“…International Journal of Differential Equations…”
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A novel analytical treatment for the Ambartsumian delay differential equation with a variable coefficient by Rana M. S. Alyoubi, Abdelhalim Ebaid, Essam R. El-Zahar, Mona D. Aljoufi

“…The Ambartsumian delay differential equation with a variable coefficient is considered in this paper. …”
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Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection by Xinchao Yang, Xiju Zong, Xingong Cheng, Zhenlai Han

“…The stability and bifurcation analysis for a delay differential equation of hepatitis B virus infection is investigated. …”
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Multiplicity of Positive Solutions for Fractional Differential Equation with p-Laplacian Boundary Value Problems by Sabbavarapu Nageswara Rao

“…International Journal of Differential Equations…”
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A Note on Four-Dimensional Symmetry Algebras and Fourth-Order Ordinary Differential Equations by A. Fatima, Muhammad Ayub, F. M. Mahomed

“…We provide a supplementation of the results on the canonical forms for scalar fourth-order ordinary differential equations (ODEs) which admit four-dimensional Lie algebras obtained recently. …”
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A New Method for Riccati Differential Equations Based on Reproducing Kernel and Quasilinearization Methods by F. Z. Geng, X. M. Li

“…The quasilinearization technique is used to reduce the Riccati differential equation to a sequence of linear problems. The resulting sets of differential equations are treated by using reproducing kernel method. …”
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Approximate Analytical Solution to Nonlinear Delay Differential Equations by Using Sumudu Iterative Method by Asfaw Tsegaye Moltot, Alemayehu Tamirie Deresse

“…Furthermore, the findings indicate that the recommended strategy is encouraging for solving other types of nonlinear delay differential equations.…”
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The Boundedness and Exponential Stability Criterions for Nonlinear Hybrid Neutral Stochastic Functional Differential Equations by Xiaofeng Zong, Fuke Wu, Chengming Huang

“…Neutral differential equations have been used to describe the systems that not only depend on the present and past states but also involve derivatives with delays. …”
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Backward Stochastic Differential Equations Coupled with Value Function and Related Optimal Control Problems by Tao Hao, Juan Li

“…We get a new type of controlled backward stochastic differential equations (BSDEs), namely, the BSDEs, coupled with value function. …”
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Solutions of Stiff Systems of Ordinary Differential Equations Using Residual Power Series Method by Mubashir Qayyum, Qursam Fatima

“…The stiff differential equations occur in almost every field of science. …”
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The Asymptotic Behaviours of a Class of Neutral Delay Fractional-Order Pantograph Differential Equations by Baojun Miao, Xuechen Li

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Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G by Daba Meshesha Gusu, Chala Bulo

“…In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G. …”
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Existence Results for Fractional Differential Equations with Separated Boundary Conditions and Fractional Impulsive Conditions by Xi Fu, Xiaoyou Liu

“…This paper is concerned with the fractional separated boundary value problem of fractional differential equations with fractional impulsive conditions. …”
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