Quinn’s Law of Fluid Dynamics: Supplement #3 A Unique Solution to the Navier-Stokes Equation for Fluid Flow in Closed Conduits
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DOI: 10.11648/j.fm.20200602.11
Abstract: The recent publication of Quinn’s Law of Fluid Dynamics brings into focus longstanding contradictions regarding permeability in closed conduits that have littered the fluid dynamics landscape for more than 150 years. In this paper, we… read more here.
Keywords: quinn law; closed conduits; fluid dynamics; fluid ... See more keywords
Unique Solution for Multi-point Fractional Integro-Differential Equations
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DOI: 10.1515/ijnsns-2019-0042
Abstract: Abstract We study a fractional integro-differential equation subject to multi-point boundary conditions: D0+αu(t)+f(t,u(t),Tu(t),Su(t))=b, t∈(0,1),u(0)=u′(0)=⋯=u(n−2)(0)=0,D0+pu(t)|t=1=∑i=1maiD0+qu(t)|t=ξi, $$\left\{\begin{array}{l} D^\alpha_{0^+} u(t)+f(t,u(t),Tu(t),Su(t))=b,\ t\in(0,1),\\u(0)=u^\prime(0)=\cdots=u^{(n-2)}(0)=0,\\ D^p_{0^+}u(t)|_{t=1}=\sum\limits_{i=1}^m a_iD^q_{0^+}u(t)|_{t=\xi_i},\end{array}\right.$$ where α∈(n−1,n], n∈N, n≥3, ai≥0, 00 $\alpha\in (n-1,n],\ n\in \textbf{N},\ n\geq 3,\ a_i\geq 0,\ 0 read more here.
Keywords: integro differential; multi point; unique solution; fractional integro ... See more keywords
Sharp estimates for the unique solution for a class of fractional differential equations
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DOI: 10.2298/fil2302435l
Abstract: In this paper, we investigated the sharp estimate for the condition of the given interval which guarantees for the unique solution of a Reimman-Liouville-type fractional differential equations with boundary conditions. The method of analysis is… read more here.
Keywords: estimates unique; fractional differential; unique solution; sharp estimates ... See more keywords