Existence of the positive solutions for boundary value problems of mixed differential equations involving the Caputo and Riemann–Liouville fractional derivatives

Abstract We prove the existence of the solutions for the new mixed differential equations, which is characteristic of the right-sided Caputo and the left-sided Riemann–Liouville fractional derivatives. There are four major ingredients. The first is composed of some basic definitions and lemmas. The...

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Autori principali:	Yujing Liu, Chenguang Yan, Weihua Jiang
Natura:	Artigo
Lingua:	Inglês
Pubblicazione:	SpringerOpen 2023-02-01
Serie:	Boundary Value Problems
Soggetti:	Caputo fractional derivative Riemann–Liouville fractional derivative Green’s function Coupled system Boundary value problem
Accesso online:	https://doi.org/10.1186/s13661-023-01696-4
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