Recent Advance in Function Spaces and Their Applications in Fractional Differential Equations by Xinguang Zhang, Lishan Liu, Yonghong Wu, Liguang Wang

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The Strong Fuzzy Henstock Integrals and Discontinuous Fuzzy Differential Equations by Yabin Shao, Huanhuan Zhang

“…We generalized the existence theorems and the continuous dependence of a solution on parameters for initial problems of fuzzy discontinuous differential equation by the strong fuzzy Henstock integral and its controlled convergence theorem.…”
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Bilateral Harnack Inequalities for Stochastic Differential Equation with Multiplicative Noise by Zihao An, Gaofeng Zong

“…By constructing a coupling with unbounded time-dependent drift, a lower bound estimate of dimension-free Harnack inequality with power is obtained for a large class of stochastic differential equation with multiplicative noise. The key is an application of the inverse Hölder inequality. …”
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A Collocation Method for Solving Fractional Riccati Differential Equation by Yalçın Öztürk, Ayşe Anapalı, Mustafa Gülsu, Mehmet Sezer

“…We have introduced a Taylor collocation method, which is based on collocation method for solving fractional Riccati differential equation with delay term. This method is based on first taking the truncated Taylor expansions of the solution function in the fractional Riccati differential equation and then substituting their matrix forms into the equation. …”
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Numerical Solution of Some Differential Equations with Henstock–Kurzweil Functions by D. A. León-Velasco, M. M. Morín-Castillo, J. J. Oliveros-Oliveros, T. Pérez-Becerra, J. A. Escamilla-Reyna

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Some results on boundary value problems for functional differential equations by P. Ch. Tsamatos, S. K. Ntouyas

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Oscillation Theorems for Second-Order Damped Nonlinear Differential Equations by Hui-Zeng Qin, Yongsheng Ren

“…International Journal of Differential Equations…”
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Existence of solutions of boundary value problems for functional differential equations by S. K. Ntouyas, P. Ch. Tsamatos

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

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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.…”
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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. …”
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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. …”
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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. …”
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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). …”
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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. …”
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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.…”
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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]. …”
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A note on the reducibility of linear differential equations with quasiperiodic coefficients by Xiaoping Yuan, Ana Nunes

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

Subjects: “…partial differential equations…”
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