Some results on fractional $m$-point boundary value problems (Q1981840)
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scientific article; zbMATH DE number 7391738
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some results on fractional $m$-point boundary value problems |
scientific article; zbMATH DE number 7391738 |
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Some results on fractional $m$-point boundary value problems (English)
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7 September 2021
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Summary: In this paper, we will apply some fixed-point theorems to discuss the existence of solutions for fractional \(m\)-point boundary value problems \[ D_{0^+}^q(u''(t))=h(t)f(u(t)),\quad t\in[0,1], 1<q\leq2,\] \(u'( 0)=u''(0)=u(1)=0\), \(u''(1)-\sum_{i = 1}^{m-2} \alpha_i u'''(\xi_i)=0\). In addition, we also present Lyapunov's inequality and Ulam-Hyers stability results for the given \(m\)-point boundary value problems.
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