Multiplicity and Uniqueness of Solution for a Class of Asymptotically Linear Fractional Differential Equation With Nonlocal Conditions
In this paper, we study a class of asymptotically linear fractional nonlocal boundary value problems depending on the fractional derivative of lower order; the nonlinear term may be sign‐changing. By using the theory of fixed point index for asymptotically linear operators and the Banach contraction mapping principle, the multiplicity and uniqueness of the solution are deduced. Two examples are given to validate the theoretical results.
Authors
- You Wu (ORCID: https://orcid.org/0000-0001-9672-6129)
- Kemei Zhang (ORCID: https://orcid.org/0000-0002-0887-3530)
- Xue‐Jun Xie (ORCID: https://orcid.org/0000-0003-2656-6347)
- Yongqing Wang (ORCID: https://orcid.org/0000-0002-4679-0760)
Institutions
- Qufu Normal University (CN)
Publication Details
- Journal
- Journal of Function Spaces
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1155/jofs/6656342
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- China Postdoctoral Science Foundation
- Natural Science Foundation of Shandong Province
- Taishan Scholar Project of Shandong Province
- Science and Technology Support Plan for Youth Innovation of Colleges and Universities of Shandong Province of China