Semisupervised Association Learning Based on Partial Differential Equations for Sparse Representation of Image Class Attributes by Wei Song, Guang Hu, Liuqing OuYang, Zhenjie Zhu

“…In this paper, we propose a multitask multiview semisupervised learning model based on partial differential equation random field and Hilbert independent standard probability image genus attribute model, i.e., shared semantics. …”
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Existence and Uniqueness for a System of Caputo-Hadamard Fractional Differential Equations with Multipoint Boundary Conditions by S. Nageswara Rao, Ahmed Hussein Msmali, Manoj Singh, Abdullah Ali H. Ahmadini

“…In this paper, we study existence and uniqueness of solutions for a system of Caputo-Hadamard fractional differential equations supplemented with multi-point boundary conditions. …”
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Method of Particular Solutions for Second-Order Differential Equation with Variable Coefficients via Orthogonal Polynomials by Huantian Xie, Zhaozhong Zhang, Ziwu Jiang, Jianwei Zhou

“…In this paper, with classic Legendre polynomials, a method of particular solutions (MPS, for short) is proposed to solve a kind of second-order differential equations with a variable coefficient on a unit interval. …”
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Reproducing Kernel Space Method for the Solution of Linear Fredholm Integro-Differential Equations and Analysis of Stability by Xueqin Lv, Yue Gao

“…We present a numerical method to solve the linear Fredholm integro-differential equation in reproducing kernel space. A simple algorithm is given to obtain the approximate solutions of the equation. …”
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RETRACTED: Boundary value problems of degenerate integro-differential equations on the boundary of the region with application in filtration by Abdurazakov Abdujabbor, Fozilov Anvarjon, Makhmudova Nasiba, Mirzamakhmudova Nilufar

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The spacewise dependent source identification problem for the elliptic-telegraph differential equation with involution and Robin condition by Allaberen Ashyralyev, Ahmad Al-Hammouri

Subjects: “…elliptic-telegraph differential equations…”
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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 model for asymmetrical cell division by Ali Ashher Zaidi, Bruce Van Brunt, Graeme Charles Wake

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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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