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Published in 2018 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0149
Abstract: Abstract Our aim is to study the existence of solutions for the following system of nonlocal resonant boundary value problem (φ(x′))′=f(t,x,x′),x′(0)=0,x(1)=∫01x(s)dg(s), $$\begin{array}{} \displaystyle (\varphi (x'))' =f(t,x,x'),\quad x'(0)=0, \quad x(1)=\int\limits_{0 }^{1}x(s){\rm d} g(s), \end{array}$$ where the…
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Keywords:
nonlocal resonant;
system nonlocal;
boundary value;
resonant boundary ... See more keywords
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Published in 2018 at "Turkish Journal of Mathematics"
DOI: 10.3906/mat-1709-71
Abstract: This paper deals with a mixed-order Caputo fractional system with nonlocal integral boundary conditions. This study can be considered as an extension of previous studies, since the orders of the equations lie on different intervals.…
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Keywords:
nonlocal integral;
mixed order;
order caputo;
fractional system ... See more keywords