Analytical Approximate Solution of Chemical Kinetics Problems by Hatıra Günerhan

“…Proposed problem is system of nonlinear ordinary differential equations. We show converges analysis of the differential transform method. …”
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Existence Analysis of Multi-Point Boundary Value Problems with Riesz-Caputo Fractional Derivatives by Takieddine Zeghida, Rabah Khaldi, Assia Guezane-Lakoud

“…This paper explores the study of a specific category of nonlinear multi-point boundary value problems (BVPs) associated with Riesz-Caputo fractional differential equations and integral boundary conditions. The primary objective is to establish the existence of solutions under specific assumptions. …”
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A Double Resistive–Capacitive Approach for the Analysis of a Hybrid Battery–Ultracapacitor Integration Study by Adrian Chmielewski, Piotr Piórkowski, Krzysztof Bogdziński, Paweł Krawczyk, Jakub Lorencki, Artur Kopczyński, Jakub Możaryn, Ramon Costa-Castelló, Stepan Ozana

“…Consequently, the set of differential equations describing the HESS dynamics is provided. …”
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Multivariate stochastic modeling for transcriptional dynamics with cell-specific latent time using SDEvelo by Xu Liao, Lican Kang, Yihao Peng, Xiaoran Chai, Peng Xie, Chengqi Lin, Hongkai Ji, Yuling Jiao, Jin Liu

“…Most existing methods of dynamic modeling use ordinary differential equations (ODE) for individual genes without applying multivariate approaches. …”
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Elastic deformation impact on trihybrid nanofluid flow through different geometries with the combine effects of electrophoresis and thermophoresis by Munawar Abbas, A. Al-Zubaidi, Abdullah A. Faqihi, Ilyas Khan, A.F. Aljohani, Abdoalrahman S.A. Ome, Ahmed M. Gala

“…The equations corresponding to the suggested PDEs (particle differential equations) are converted into ODEs (ordinary differential equations) by choosing suitable similarity transformation. …”
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Melting ternary hybrid nanofluid stagnation point flow with velocity slip past a stretching/shrinking sheet: Numerical simulation and validation via P2SATRA by Nur Syahirah Wahid, Nur Ezlin Zamri, Siti Zulaikha Mohd Jamaludin, Nur Hazirah Adilla Norzawary, Mohd Shareduwan Mohd Kasihmuddin, Mohd. Asyraf Mansor, Norihan Md Arifin, Ioan Pop

“…The governing partial differential equations (PDEs) are initially formulated and subsequently reduced to ordinary differential equations (ODEs). …”
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Machine learning-driven analysis of heat transfer in chemically reactive fluid flow considering Soret-Dufour effects by Shazia Habib, Saleem Nasir, Zeeshan Khan, Abdallah S. Berrouk, Waseem, Saeed Islam

“…By transforming the governing system of nonlinear partial differential equations into ordinary differential equations via similarity transformation, the methodology attains computational efficiency and solution precision. …”
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On the Carleman classes of vectors of a scalar type spectral operator by Marat V. Markin

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Local existence result of the single dopant diffusion including cluster reactions of high order by R. Bader, W. Merz

“…The model includes a nonlinear system of reaction-drift-diffusion equations, a nonlinear system of ordinary differential equations in Banach spaces, and a nonlinear elliptic equation for the electrochemical potential. …”
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Existence of Two Positive Solutions for Two Kinds of Fractional p-Laplacian Equations by Yong Wu, Said Taarabti

“…The aim of this paper is to investigate the existence of two positive solutions to subcritical and critical fractional integro-differential equations driven by a nonlocal operator LKp. …”
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Stability Conditions of Second Order Integrodifferential Equations with Variable Delay by Dingheng Pi

“…We investigate integrodifferential functional differential equations ẍ+f(t,x,ẋ)ẋ+∫t-r(t)t‍a(t,s)g(x(s))ds=0 with variable delay. …”
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Chebyshev Wavelet Finite Difference Method: A New Approach for Solving Initial and Boundary Value Problems of Fractional Order by A. Kazemi Nasab, A. Kılıçman, Z. Pashazadeh Atabakan, S. Abbasbandy

“…A new method based on a hybrid of Chebyshev wavelets and finite difference methods is introduced for solving linear and nonlinear fractional differential equations. The useful properties of the Chebyshev wavelets and finite difference method are utilized to reduce the computation of the problem to a set of linear or nonlinear algebraic equations. …”
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Solving higher order Fuchs type differential systems avoiding the increase of the problem dimension by E. Navarro, L. Jódar, R. Company

“…In this paper, we develop a Frobenius matrix method for solving higher order systems of differential equations of the Fuchs type. Generalized power series solution of the problem are constructed without increasing the problem dimension. …”
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Stability and Hopf Bifurcation in a Diffusive Predator-Prey System with Beddington-DeAngelis Functional Response and Time Delay by Yuzhen Bai, Xiaopeng Zhang

“…Finally, the direction and stability of Hopf bifurcations are determined by normal form theory and center manifold reduction for partial functional differential equations.…”
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A Note on Fractional Sumudu Transform by V. G. Gupta, Bhavna Shrama, Adem Kiliçman

“…We also established a relationship between fractional Laplace and Sumudu duality with complex inversion formula for fractional Sumudu transform and apply new definition to solve fractional differential equations.…”
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Optimal control of vaccine distribution in a rabies metapopulation model by Erika Asano, Louis J. Gross, Suzanne Lenhart, Leslie A. Real

“…This system of ordinary differential equations considers subpop-ulations connected by movement. …”
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Heat transport efficiency in rheology of radiated casson material due to porous shrinking cylinder by Muhammad Yasir, N. Ameer Ahammad, Aisha M. Alqahtani, Yahia Said

“…The physical characteristics of the problem are governed by partial differential equations, which are converted to ordinary differential equations using appropriate similarity variables. …”
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An EPQ inventory model with Weibull distribution, dynamic time-dependent holding cost under various demand pattern using Maclaurin series approximations by Gopal Kumar Gupta, Atma Nand, N. S. Chauhan, Shivanand

“…The model characterizes inventories with three unique demand patterns by analytically solving ordinary differential equations through Maclaurin series approximations. …”
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Numerical analysis of mathematical model of nanofluid flow through stagnation point involving thermal radiation, activation energy, and living organisms by Munaza Chaudhry, Muhammad Abdul Basit, Muhammad Imran, Madeeha Tahir, Aiedh Mrisi Alharthi, Jihad Younis

“…Nonlinear partial differential equations are transformed into a collection of linked ordinary differential equations via similarity transformations. …”
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Ecology through the eyes of a non-ecologist by Janusz Uchmański

“…It allows the use of traditional difference and differential equations in the formulation of mathematical models, which has proven itself in practical applications many times.…”
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