A Study on ψ-Caputo-Type Hybrid Multifractional Differential Equations with Hybrid Boundary Conditions by Fouad Fredj, Hadda Hammouche, Mohammed S. Abdo, Wedad Albalawi, Abdulrazak H. Almaliki

“…In this research paper, we investigate the existence, uniqueness, and Ulam–Hyers stability of hybrid sequential fractional differential equations with multiple fractional derivatives of ψ-Caputo with different orders. …”
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Positive Solutions for Second-Order Singular Semipositone Differential Equations Involving Stieltjes Integral Conditions by Jiqiang Jiang, Lishan Liu, Yonghong Wu

“…By means of the fixed point theory in cones, we investigate the existence of positive solutions for the following second-order singular differential equations with a negatively perturbed term: −u′′(t)=λ[f(t,u(t))−q(t)], 0<t<1, αu(0)−βu′(0)=∫01u(s)dξ(s), γu(1)+δu′(1)=∫01u(s)dη(s), where λ>0 is a parameter; f:(0,1)×(0,∞)→[0,∞) is continuous; f(t,x) may be singular at t=0, t=1, and x=0, and the perturbed term q:(0,1)→[0,+∞) is Lebesgue integrable and may have finitely many singularities in (0,1), which implies that the nonlinear term may change sign.…”
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Efficient algorithms for solving nonlinear Volterra integro-differential equations with two point boundary conditions by L. E. Garey, R. E. Shaw

Subjects: “…Nonlinear Volterra integro-differential equation…”
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Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation by Liu Yang

“…In this paper, we investigate a class of nonperiodic fourth-order differential equations with general perturbation. By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions. …”
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A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations by A. H. Bhrawy, M. A. Alghamdi

“…The main advantage of the shifted Jacobi-Gauss scheme is to reduce solving the generalized fractional neutral functional-differential equations to a system of algebraic equations in the unknown expansion. …”
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Existence of triple positive periodic solutions of a functional differential equation depending on a parameter by Xi-lan Liu, Guang Zhang, Sui Sun Cheng

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Barcode Location in Financial Statement System Based on the Partial Differential Equation Image Recognition Algorithm by Jinghua Ning, Song Yu

“…This paper studies the problem of the barcode image location and recognition in the financial statement system and tries to apply the partial differential equation image recognition algorithm to the barcode location in the financial statement system. …”
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Existence of Positive Solutions for m-Point Boundary Value Problem for Nonlinear Fractional Differential Equation by Moustafa El-Shahed, Wafa M. Shammakh

“…We investigate an m-point boundary value problem for nonlinear fractional differential equations. The associated Green function for the boundary value problem is given at first, and some useful properties of the Green function are obtained. …”
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The Existence of Positive Solutions for Boundary Value Problem of the Fractional Sturm-Liouville Functional Differential Equation by Yanan Li, Shurong Sun, Zhenlai Han, Hongling Lu

“…We study boundary value problems for the following nonlinear fractional Sturm-Liouville functional differential equations involving the Caputo fractional derivative:   CDβ(p(t)CDαu(t)) + f(t,u(t-τ),u(t+θ))=0, t∈(0,1),  CDαu(0)= CDαu(1)=( CDαu(0))=0, au(t)-bu′(t)=η(t), t∈[-τ,0], cu(t)+du′(t)=ξ(t), t∈[1,1+θ], where   CDα,  CDβ denote the Caputo fractional derivatives, f is a nonnegative continuous functional defined on C([-τ,1+θ],ℝ), 1<α≤2, 2<β≤3, 0<τ, θ<1/4 are suitably small, a,b,c,d>0, and η∈C([-τ,0],[0,∞)), ξ∈C([1,1+θ],[0,∞)). …”
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Existence and Uniqueness Results for Fractional Differential Equations with Riemann-Liouville Fractional Integral Boundary Conditions by Mohamed I. Abbas

“…We prove the existence and uniqueness of solution for fractional differential equations with Riemann-Liouville fractional integral boundary conditions. …”
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Linearizability of Nonlinear Third-Order Ordinary Differential Equations by Using a Generalized Linearizing Transformation by E. Thailert, S. Suksern

“…We discuss the linearization problem of third-order ordinary differential equation under the generalized linearizing transformation. …”
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The Distribution of Zeroes and Critical Points of Solutions of a Second Order Half-Linear Differential Equation by Pedro Almenar, Lucas Jódar

“…This paper reuses an idea first devised by Kwong 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),q(x)>0, Φ(t)=|t|r-2t, and r real such that r>1. …”
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Some Stability and Convergence of Additive Runge-Kutta Methods for Delay Differential Equations with Many Delays by Haiyan Yuan, Jingjun Zhao, Yang Xu

“…This paper is devoted to the stability and convergence analysis of the additive Runge-Kutta methods with the Lagrangian interpolation (ARKLMs) for the numerical solution of a delay differential equation with many delays. GDN stability and D-Convergence are introduced and proved. …”
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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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