Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces by Bo Zhu, Baoyan Han, Xiangyun Lin

“…In this paper, we consider a class of nonlinear time fractional partial differential equations with delay. We obtain the existence and uniqueness of the mild solutions for the problem by the theory of solution operator and the general Banach contraction mapping principle. …”
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Application of the Natural Decomposition Method to Strongly Coupled Partial Differential Equations: The Gray-Scott Model. by Nsingwire, Godwin

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A method of solving y(k)−f(x)y=0 by P. J. O'Hara, R. Osteen, R. S. Rodriguez

Subjects: “…differential equations…”
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On parameter estimation for stochastic logistic growth laws through the maximum likelihood procedure by Petras Rupšys

Subjects: “…stochastic differential equation…”
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A dynamic model describing heterotrophic culture of chorella and its stability analysis by Yan Zhang, Wanbiao Ma, Hai Yan, Yasuhiro Takeuchi

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A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis by József Z. Farkas, Gary T. Smith, Glenn F. Webb

Subjects: “…logistic partial differential equation…”
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Effect of rotational grazing on plant and animal production by Mayee Chen, Junping Shi

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On the Schrödinger-parabolic equation with multipoint nonlocal boundary condition by Yıldırım Özdemir

Subjects: “…partial differential equation…”
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Formulation of the protein synthesis rate with sequence information by Wenjun Xia, Jinzhi Lei

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Existence and Ulam–Hyers stability results for Caputo–Hadamard fractional differential equations with non-instantaneous impulses by Mesfin Teshome Beyene, Mitiku Daba Firdi, Tamirat Temesgen Dufera

“…Abstract In this manuscript, we investigated the existence, uniqueness, and Ulam–Hyers stability results of solutions to implicit Caputo–Hadamard fractional differential equations with noninstantaneous impulses and δ − d e r i v a t i v e $\delta -derivative$ initial conditions. …”
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Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space by Hristo Kiskinov, Andrey Zahariev

“…International Journal of Differential Equations…”
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Monotone-iterative technique of Lakshmikantham for the initial value problem for a differential equation with a step function by S. G. Hristova, M. A. Rangelova

“…The initial value problem for a special kind of differential equations with a step function is studied. The monotone-iterative technique of Lakshmikantham for approximate finding of the solutions of the given problem is well grounded.…”
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Image Enhancement of Cross-Border E-Commerce Logistics Video Surveillance Based on Partial Differential Equations by Xiaosheng Yu, Peili Wu

“…This paper introduces partial differential equations into the video surveillance image enhancement system of cross-border e-commerce logistics. …”
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A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations by Xiangbing Zhou, Wenquan Wu, Hongjiang Ma

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Image Recognition of Pledges of Capital Stock in Small- and Medium-Sized Enterprises Based on Partial Differential Equations by Dehui Zhou

“…In this paper, we propose a partial differential equation-based image recognition method for SME financing inventory pledges and conduct detailed analysis and experiments. …”
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Higher-order fuzzy fractional differential equations: on the existence, uniqueness and Hyers–Ulam–Rassias stability of solutions by Brahim Ghrissi, Abdelkader Amara, Youcef Henka

Subjects: “…fuzzy fractional differential equation…”
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Denoising of Tourist Street Scene Image Based on ROF Model of Second-Order Partial Differential Equation by Xiaofeng Yang

“…The evolutionary diffusion method based on partial differential equations is helpful to improve the quality of noisy tourist street scene images. …”
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Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays by Na Wang

“…We consider a kind of second-order neutral functional differential equation. On the basis of Mawhin’s coincidence degree, the existence and uniqueness of periodic solutions are proved. …”
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Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method by Shailesh A. Bhanotar, Mohammed K. A. Kaabar

“…International Journal of Differential Equations…”
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Triple Positive Solutions of a Nonlocal Boundary Value Problem for Singular Differential Equations with p-Laplacian by Jufang Wang, Changlong Yu, Yanping Guo

“…We establish the existence of triple positive solutions of an m-point boundary value problem for the nonlinear singular second-order differential equations of mixed type with a p-Laplacian operator by Leggett-William fixed point theorem. …”
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