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- Title
New Results on the Solvability of Abstract Sequential Caputo Fractional Differential Equations with a Resolvent-Operator Approach and Applications.
- Authors
Mohammed Djaouti, Abdelhamid; Ould Melha, Khellaf; Latif, Muhammad Amer
- 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.
- Subjects
CAPUTO fractional derivatives; PARTIAL differential equations; RESOLVENTS (Mathematics); FRACTIONAL differential equations; FUNCTIONAL differential equations
- Publication
Mathematics (2227-7390), 2024, Vol 12, Issue 8, p1268
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math12081268