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Open AccessBifurcation and exact solutions for the ( \(2+1\) )-dimensional conformable time-fractional Zoomeron equation
In this paper, the bifurcation and new exact solutions for the ( 2 + 1 \(2+1\) )-dimensional conformable time-fractional Zoomeron equation are investigated by utilizing two reliable methods, which are generalized...
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Article
Open AccessBlow-up of solutions to a viscoelastic parabolic equation with positive initial energy
In this paper, a semilinear viscoelastic parabolic equation with nonlinear boundary flux is studied. Due to the comparison principle being invalid, potential well method and concavity argument are used to prov...
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Article
Open AccessExistence of solutions for fractional q-difference equation with mixed nonlinear boundary conditions
In this paper, we study the boundary value problem for a class of nonlinear fractional q-difference equation with mixed nonlinear conditions involving the fractional q-derivative of Riemann-Liouuville type. By me...
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Article
Open AccessBoundary value problems for fractional q-difference equations with nonlocal conditions
In this paper, we study the boundary value problem of a fractional q-difference equation with nonlocal conditions involving the fractional q-derivative of the Caputo type, and the nonlinear term contains a fracti...
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Article
Open AccessCritical extinction exponents for a fast diffusion equation with nonlocal source and absorption
In this article, the authors apply the super-solution and sub-solution methods, instead of energy estimate methods, to investigate the critical extinction exponents for a fast diffusion equation with a nonloca...
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Article
Open AccessExistence of positive solutions of nonlinear fractional q-difference equation with parameter
In this paper, we study the boundary value problem of a class of nonlinear fractional q-difference equations with parameter involving the Riemann-Liouville fractional derivative. By means of a fixed point theorem...
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Article
Open AccessOn the Smarandache-Pascal derived sequences and some of their conjectures
For any sequence { b ...
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Article
Open AccessOscillation of Even-Order Neutral Delay Differential Equations
By using Riccati transformation technique, we will establish some new oscillation criteria for the even order neutral delay differential equations ...
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Article
Open AccessExistence of Nonoscillatory Solutions to Second-Order Neutral Delay Dynamic Equations on Time Scales
We employ Kranoselskii's fixed point theorem to establish the existence of nonoscillatory solutions to the second-order neutral delay dynamic equation ...