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- W2970183224 abstract "In the current study, by using some fixed point technique such as Banach contraction principle and fixed point theorem of Krasnoselskii, we look into the positive solutions for fractional differential equation ${}^{c}D^{alpha}u(t)$ equals to $f_{1} ( t, u(t), {}^{c}D^{ beta_{1}} u(t), I^{gamma_{1}} u(t) )$ and $f_{2} ( t, u(t), {}^{c} D^{beta_{2}} u(t), I^{gamma_{2}} u(t) )$ for each t belonging to $[0, t_{0}]$ and $[t_{0}, 1]$ , respectively, with simultaneous Dirichlet boundary conditions, where ${}^{c}D^{alpha}$ and $I^{alpha}$ denote the Caputo fractional derivative and Riemann–Liouville fractional integral of order α, respectively. Some models are thrown to illustrate our results, too." @default.
- W2970183224 created "2019-09-05" @default.
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- W2970183224 date "2019-08-28" @default.
- W2970183224 modified "2023-09-26" @default.
- W2970183224 title "Positive solutions of fractional differential equation with two pieces in chain interval and simultaneous Dirichlet boundary conditions" @default.
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- W2970183224 doi "https://doi.org/10.1186/s13661-019-1251-8" @default.
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