Stability of the mixed Caputo fractional integro-differential equation by means of weighted space method
| Autor: | Shidong Liu, Qun Dai |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Mathematics::Functional Analysis
Mathematics::Operator Algebras ulam-hyers stability ulam-hyers-rassias stability General Mathematics Mathematics::Classical Analysis and ODEs semi-ulam-hyers-rassias stability Stability (probability) Integro-differential equation mixed caputo fractional derivative QA1-939 Applied mathematics weighted space method Mathematics Weighted space |
| Zdroj: | AIMS Mathematics, Vol 7, Iss 2, Pp 2498-2511 (2022) |
| ISSN: | 2473-6988 |
| DOI: | 10.3934/math.2022140 |
| Popis: | In this research work, we consider a class of nonlinear fractional integro-differential equations containing Caputo fractional derivative and integral derivative. We discuss the stabilities of Ulam-Hyers, Ulam-Hyers-Rassias, semi-Ulam-Hyers-Rassias for the nonlinear fractional integro-differential equations in terms of weighted space method and Banach fixed-point theorem. After the demonstration of our results, an example is given to illustrate the results we obtained. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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