Hilfer proportional nonlocal fractional integro-multipoint boundary value problems
Issued Date
2023-01-01
Resource Type
eISSN
23915455
Scopus ID
2-s2.0-85176304172
Journal Title
Open Mathematics
Volume
21
Issue
1
Rights Holder(s)
SCOPUS
Bibliographic Citation
Open Mathematics Vol.21 No.1 (2023)
Suggested Citation
Samadi A., Ntouyas S.K., Cuntavepanit A., Tariboon J. Hilfer proportional nonlocal fractional integro-multipoint boundary value problems. Open Mathematics Vol.21 No.1 (2023). doi:10.1515/math-2023-0137 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/91107
Title
Hilfer proportional nonlocal fractional integro-multipoint boundary value problems
Author(s)
Other Contributor(s)
Abstract
In this article, we introduce and study a boundary value problem for (k, χ ¯ ∗) \left(k,{\bar{\chi }}_{∗ }) -Hilfer generalized proportional fractional differential equation of order in an interval (1, 2], equipped with integro-multipoint nonlocal boundary conditions. In the scalar case setting, the existence results are proved via Leray-Schauder nonlinear alternative and Krasnosel'skia's fixed point theorem, while the existence of a unique solution is established by applying Banach's contraction mapping principle. In Banach's space setting, an existence result is proved via Mönch's fixed point theorem and the measure of noncompactness. Finally, the obtained theoretical results are well illustrated by constructed examples.