Analysis of Caputo fractional variable order multi-point initial value problems: existence, uniqueness, and stability

Abstract In this paper, we examine the existence, uniqueness, and stability of solutions for a Caputo variable order ϑ-initial value problem (ϑ-IVP) with multi-point initial conditions. The proofs for uniqueness and existence leverage Sadovski’s and Banach’s fixed point theorems, along with the Kura...

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Bibliografische gegevens

Hoofdauteurs:	Hicham Ait Mohammed, Mohammed El-Hadi Mezabia, Brahim Tellab, Abdelkader Amara, Homan Emadifar
Formaat:	Artigo
Taal:	Inglês
Gepubliceerd in:	SpringerOpen 2024-10-01
Reeks:	Boundary Value Problems
Onderwerpen:	Caputo fractional derivative Variable order Multi-point boundary value problem Kuratowski measure of noncompactness Fixed point theorems
Online toegang:	https://doi.org/10.1186/s13661-024-01943-2
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