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New Results on the Solvability of Abstract Sequential Caputo Fractional Differential Equations with a Resolvent-Operator Approach and Applications
- Source :
- Mathematics, Vol 12, Iss 8, p 1268 (2024)
- Publication Year :
- 2024
- Publisher :
- MDPI AG, 2024.
-
Abstract
- This paper aims to establish the existence and uniqueness of mild solutions to abstract sequential fractional differential equations. The approach employed involves the utilization of resolvent operators and the fixed-point theorem. Additionally, we investigate a specific example concerning a partial differential equation incorporating the Caputo fractional derivative.
Details
- Language :
- English
- ISSN :
- 22277390 and 74357123
- Volume :
- 12
- Issue :
- 8
- Database :
- Directory of Open Access Journals
- Journal :
- Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.6316625f292a4b3dbb651a74357123fc
- Document Type :
- article
- Full Text :
- https://doi.org/10.3390/math12081268