Existence of Positive Solution for BVP of Nonlinear Fractional Differential Equation by Jun-Rui Yue, Jian-Ping Sun, Shuqin Zhang

“…We consider the following boundary value problem of nonlinear fractional differential equation: (CD0+αu)(t)=f(t,u(t)),  t∈[0,1],  u(0)=0,   u′(0)+u′′(0)=0,  u′(1)+u′′(1)=0, where α∈(2,3] is a real number,  CD0+α denotes the standard Caputo fractional derivative, and f:[0,1]×[0,+∞)→[0,+∞) is continuous. …”
Get full text

Strong oscillations for second order nonlinear functional differential equations by Jurang Yan

Subjects: Get full text

On the correct formulation of a nonlinear differential equations in Banach space by Mahmoud M. El-Borai, Osama L. Moustafa, Fayez H. Michael

“…We also give an application of the theory of partial differential equations.…”
Get full text

Analysis of the Fractional-Order Delay Differential Equations by the Numerical Method by Saadia Masood, Muhammad Naeem, Roman Ullah, Saima Mustafa, Abdul Bariq

“…In this study, we implemented a new numerical method known as the Chebyshev Pseudospectral method for solving nonlinear delay differential equations having fractional order. The fractional derivative is defined in Caputo manner. …”
Get full text

Oscillation and Asymptotic Behavior of Higher-Order Nonlinear Differential Equations by J. Džurina, B. Baculíková

“…As a possible application of the lemma in the oscillation theory, we study the asymptotic properties and oscillation of the nth order delay differential equations (E)(r(t)[x(n−1)(t)]γ)′+q(t)xγ(τ(t))=0. …”
Get full text

Higher-Order Dynamic Delay Differential Equations on Time Scales by Hua Su, Lishan Liu, Xinjun Wang

“…We study the existence of positive solutions for the nonlinear four-point singular boundary value problem with higher-order p-Laplacian dynamic delay differential equations on time scales, subject to some boundary conditions. …”
Get full text

The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations by W. K. Zahra, S. M. Elkholy

“…Analytical solution of many applications, where the fractional differential equations appear, cannot be established. Therefore, cubic polynomial spline-function-based method combined with shooting method is considered to find approximate solution for a class of fractional boundary value problems (FBVPs). …”
Get full text

Modified Homotopy Perturbation Method for Solving Fractional Differential Equations by A. A. Hemeda

“…The modified homotopy perturbation method is extended to derive the exact solutions for linear (nonlinear) ordinary (partial) differential equations of fractional order in fluid mechanics. …”
Get full text

Asymptotically Linear Solutions for Some Linear Fractional Differential Equations by Dumitru Baleanu, Octavian G. Mustafa, Ravi P. Agarwal

“…We establish here that under some simple restrictions on the functional coefficient a(t) the fractional differential equation D0tα[tx′−x+x(0)]+a(t)x=0,  t>0, has a solution expressible as ct+d+o(1) for t→+∞, where D0tα designates the Riemann-Liouville derivative of order α∈(0,1) and c,d∈ℝ.…”
Get full text

Modified logistic differential equation of neutral type with time delay by Donatas Švitra

“… The following differential equation is considered: N(t) = rN[1 + a(1 − {N(t)}/K) − {N(t − h) + ρN(t − h)}/K]. …”
Get full text

A note on the reducibility of linear differential equations with quasiperiodic coefficients by Xiaoping Yuan, Ana Nunes

Get full text

A survey of partial differential equations with piecewise continuous arguments by Joseph Wiener, Lokenath Debnath

Subjects: “…partial differential equations…”
Get full text

A partial differential equation model of metastasized prostatic cancer by Avner Friedman, Harsh Vardhan Jain

“…Here, we develop a partial differential equation model of the growth and response to treatment of prostate cancer that has metastasized to the bone. …”
Get full text

On periodic-type solutions of systems of linear ordinary differential equations by I. Kiguradze

“…We establish nonimprovable, in a certain sense, sufficient conditions for the existence of a unique periodic-type solution for systems of linear ordinary differential equations.…”
Get full text

Solvlng Non-Linear First Order Ordinary Differential Equations. by Taremwa, Elias

Subjects: Get full text

Systems of Ordinary Differential Equations with Time Dependent Coefficient Matrix. by Twesiime, Gerald

Subjects: Get full text

Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation by Moustafa El-Shahed

Get full text

Existence of Periodic Solutions to Multidelay Functional Differential Equations of Second Order by Cemil Tunç, Ramazan Yazgan

“…Using Lyapunov-Krasovskii functional approach, we establish a new result to guarantee the existence of periodic solutions of a certain multidelay nonlinear functional differential equation of second order. By this work, we extend and improve some earlier result in the literature.…”
Get full text

On the Exact Solutions of Two (3+1)-Dimensional Nonlinear Differential Equations by Fanning Meng, Yongyi Gu

“…In this article, exact solutions of two (3+1)-dimensional nonlinear differential equations are derived by using the complex method. …”
Get full text

Three-Point Boundary Value Problems for Conformable Fractional Differential Equations by H. Batarfi, Jorge Losada, Juan J. Nieto, W. Shammakh

“…We study a fractional differential equation using a recent novel concept of fractional derivative with initial and three-point boundary conditions. …”
Get full text