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In this paper, the problem of asymptotic behavior of solutions for impulsive neutral partial differential equations has been investigated. Using Riccati transform method and impulsive differential inequalities, some new sufficient conditions are derived for a solution of the proposed equation which converges to zero. Finally, the effectiveness of the derived main results has been shown in numerical...
In this paper, we consider a new class of boundary value problem associated with fractional Emden–Fowler type neutral partial differential equations of the form $$ \begin{gathered} D_{{ + ,t}}^{\alpha } \left[ {r(t)D_{{ + ,t}}^{\alpha } \left( {u(x,t) + p(t)u(x,t - \tau )} \right)} \right] + q(x,t)\left| {u(x,\sigma (t))} \right|^{{\gamma - 1}} u(x,\sigma (t)) \hfill \\ = a(t)\Delta u(x,t) + F(x,t),~~(x,t)...
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