Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem by Jing Niu, Ping Li

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Numerical Algorithm for Coupled Fixed Points in Normed Spaces with Applications to Fractional Differential Equations and Economics by Lifang Guo, Salha Alshaikey, Abeer Alshejari, Muhammad Din, Umar Ishtiaq

“…Finally, we provide an application to fractional differential equations to show the validity of the main result.…”
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Random Fixed Point Theorems and Applications to Random First-Order Vector-Valued Differential Equations by Adil El-Ghabi, Abdelmjid Khchine, Mohamed Aziz Taoudi

“…As an application, we discuss the existence of random solutions to a class of random first-order vector-valued ordinary differential equations with lack of compactness.…”
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On the Derivation of a Closed-Form Expression for the Solutions of a Subclass of Generalized Abel Differential Equations by Panayotis E. Nastou, Paul Spirakis, Yannis C. Stamatiou, Apostolos Tsiakalos

“…International Journal of Differential Equations…”
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Meshless Technique for the Solution of Time-Fractional Partial Differential Equations Having Real-World Applications by Mehnaz Shakeel, Iltaf Hussain, Hijaz Ahmad, Imtiaz Ahmad, Phatiphat Thounthong, Ying-Fang Zhang

“…In this article, radial basis function collocation scheme is adopted for the numerical solution of fractional partial differential equations. This method is highly demanding because of its meshless nature and ease of implementation in high dimensions and complex geometries. …”
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Limit Circle/Limit Point Criteria for Second-Order Sublinear Differential Equations with Damping Term by Jing Shao, Wei Song

“…The purpose of the present paper is to establish some new criteria for the classification of the sublinear differential equation as of the nonlinear limit circle type or of the nonlinear limit point type. …”
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Numerical solution of one-dimensional differential equations by weighted residual method using Bernoulli wavelets by Lingaraj Angadi

Subjects: “…one-dimensional differential equations…”
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Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition by Zhongqi Peng, Yuan Li, Qi Zhang, Yimin Xue

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Multistep methods for coupled second order integro-differential equations: stability, convergence and error bounds by Lucas Jódar, José Luis Marera, Gregorio Rubio

“…In this paper multistep methods for systems of coupled second order Volterra integro-differential equations are proposed. Stability and convergence properties are studied and an error bound for the discretization error is given.…”
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Two Hybrid Methods for Solving Two-Dimensional Linear Time-Fractional Partial Differential Equations by B. A. Jacobs, C. Harley

“…A computationally efficient hybridization of the Laplace transform with two spatial discretization techniques is investigated for numerical solutions of time-fractional linear partial differential equations in two space variables. The Chebyshev collocation method is compared with the standard finite difference spatial discretization and the absolute error is obtained for several test problems. …”
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On the Zeroes and the Critical Points of a Solution of a Second Order Half-Linear Differential Equation by Pedro Almenar, Lucas Jódar

“…This paper presents two methods to obtain upper bounds for the distance between a zero and an adjacent critical point of a solution of the second-order half-linear differential equation (p(x)Φ(y'))'+q(x)Φ(y)=0, with p(x) and q(x) piecewise continuous and p(x)>0, Φ(t)=|t|r-2t and r being real such that r>1. …”
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Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations by Fatemah Mofarreh, Akram Ali, Nadia Alluhaibi, Olga Belova

“…As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via the first eigenvalue of Laplace–Beltrami operator defined on the warping function and a second-order ordinary differential equation. We find the necessary conditions for a base B of a C-totally real-warped product submanifold to be an isometric to the Euclidean sphere Sp.…”
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Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models by Santanu Saha Ray, Om P. Agrawal, R. K. Bera, Shantanu Das, T. Raja Sekhar

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A Novel Approximation Method for Solving Ordinary Differential Equations Using the Representation of Ball Curves by Abdul Hadi Bhatti, Sharmila Karim, Ala Amourah, Ali Fareed Jameel, Feras Yousef, Nidal Anakira

Subjects: “…ordinary differential equations…”
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Positive Solutions for Three-Point Boundary Value Problem of Fractional Differential Equation with -Laplacian Operator by Shang-lin Yao, Guo-hui Wang, Zhi-ping Li, Li-jun Yu

“…We investigate the existence of multiple positive solutions for three-point boundary value problem of fractional differential equation with -Laplacian operator , where are the standard Riemann-Liouville derivatives with , and the constant is a positive number satisfying ; -Laplacian operator is defined as . …”
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New Oscillation Criteria for Second-Order Neutral Delay Differential Equations with Positive and Negative Coefficients by Yuzhen Bai, Lihua Liu

“…We establish the oscillation and asymptotic criteria for the second-order neutral delay differential equations with positive and negative coefficients having the forms [x(t)+∑i∈Rci(t)x(αi(t))]′′+r(t)[x(t)+∑i∈Rci(t)x(αi(t))]′+∑i∈Ppi(t)x(βi(t))-∑i∈Qqi(t)x(γi(t))=0 and [x(t)+∑i∈Rci(t)x(αi(t))]′′+r(t)[x(t)+∑i∈Rci(t)x(αi(t))]′+∑i∈Ppi(t)x(βi(t))-∑i∈Qqi(t)x(γi(t))=f(t). …”
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The Eigenvalue Problem for Caputo Type Fractional Differential Equation with Riemann-Stieltjes Integral Boundary Conditions by Wenjie Ma, Yujun Cui

“…In this paper, we investigate the eigenvalue problem for Caputo fractional differential equation with Riemann-Stieltjes integral boundary conditions Dc0+θp(y)+μf(t,p(y))=0, y∈[0,1], p(0)=p′′(0)=0, p(1)=∫01p(y)dA(y), where Dc0+θ is Caputo fractional derivative, θ∈(2,3], and f:[0,1]×[0,+∞)→[0,+∞) is continuous. …”
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On the Coupling of the Homotopy Perturbation Method and New Integral Transform for Solving Systems of Partial Differential Equations by E. E. Eladdad, E. A. Tarif

“…This combination allows to obtain analytic and numerical solutions for linear and nonlinear systems of partial differential equations.…”
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The Existence of Solutions for Four-Point Coupled Boundary Value Problems of Fractional Differential Equations at Resonance by Yumei Zou, Lishan Liu, Yujun Cui

“…A four-point coupled boundary value problem of fractional differential equations is studied. Based on Mawhin’s coincidence degree theory, some existence theorems are obtained in the case of resonance.…”
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Fite-Wintner-Leighton-Type Oscillation Criteria for Second-Order Differential Equations with Nonlinear Damping by Mervan Pašić

“…Some new oscillation criteria for a general class of second-order differential equations with nonlinear damping are shown. Except some general structural assumptions on the coefficients and nonlinear terms, we additionally assume only one sufficient condition (of Fite-Wintner-Leighton type). …”
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