Fractional differential equations with integral and ordinary-fractional flux boundary conditions (Q2792484)
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scientific article; zbMATH DE number 6554678
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fractional differential equations with integral and ordinary-fractional flux boundary conditions |
scientific article; zbMATH DE number 6554678 |
Statements
11 March 2016
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fractional differential equations
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existence and uniqueness theory
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Caputo type
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fixed point theory
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Fractional differential equations with integral and ordinary-fractional flux boundary conditions (English)
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The paper considers coupled Caputo-type fractional differential equations under integral and differential flux boundary conditions. The aim of the paper is to give new existence results for these problems. This is accomplished via the Schauder/Schauder-Leray fixed point theory. Uniqueness results are given using Banach's contraction mapping principle.NEWLINENEWLINEFollowing preliminaries which review and introduce the ideas in the paper, the authors give two new existence results and a uniqueness result. They point out that their results correspond to some new insights that have recently appeared elsewhere.
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