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

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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Bibliographic Details
Main Authors: Yujing Liu, Chenguang Yan, Weihua Jiang
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:Boundary Value Problems
Subjects:
Caputo fractional derivative
Riemann–Liouville fractional derivative
Green’s function
Coupled system
Boundary value problem
Online Access:https://doi.org/10.1186/s13661-023-01696-4

Internet

https://doi.org/10.1186/s13661-023-01696-4

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