Extremal Solutions for Caputo Conformable Differential Equations with p-Laplacian Operator and Integral Boundary Condition by Zhongqi Peng, Yuan Li, Qi Zhang, Yimin Xue

Get full text

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.…”
Get full text

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. …”
Get full text

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. …”
Get full text

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.…”
Get full text

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

Get full text

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…”
Get full text

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 . …”
Get full text

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). …”
Get full text

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. …”
Get full text

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.…”
Get full text

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.…”
Get full text

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). …”
Get full text

Corrigendum to “Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials” by Emran Tohidi, M. M. Ezadkhah, S. Shateyi

Get full text

On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions by Bouchra Ben Amma, Said Melliani, Lalla Saadia Chadli

“…This paper addresses the issue of the existence and uniqueness of intuitionistic fuzzy solutions for some classes of partial functional differential equations with state-dependent delay in a new weighted complete metric space. …”
Get full text

Remark on Existence and Uniqueness of Solutions for a Coupled System of Multiterm Nonlinear Fractional Differential Equations by Huichao Zou, Yonghong Fan

Get full text

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. …”
Get full text

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. …”
Get full text

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. …”
Get full text

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…”
Get full text