Criteria for existence of solutions for a Liouville–Caputo boundary value problem via generalized Gronwall’s inequality

Criteria for existence of solutions for a Liouville–Caputo boundary value problem via generalized Gronwall’s inequality

Abstract In this research, we first investigate the existence of solutions for a new fractional boundary value problem in the Liouville–Caputo setting with mixed integro-derivative boundary conditions. To do this, Kuratowski’s measure of noncompactness and Sadovskii’s fixed point theorem are our too...

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Bibliographic Details
Main Authors: Hakimeh Mohammadi, Dumitru Baleanu, Sina Etemad, Shahram Rezapour
Format: Article
Language:English
Published: SpringerOpen 2021-02-01
Series:Journal of Inequalities and Applications
Subjects:
Boundary value problem
Measure of noncompactness
The approximate endpoint property
The generalized Gronwall inequality
Online Access:https://doi.org/10.1186/s13660-021-02562-6

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