On solution of non-linear FDE under tempered Ψ−Caputo derivative for the first-order and three-point boundary conditions
In this article, the existence and uniqueness of solutions for non-linear fractional differential equation with Tempered Ψ−Caputo derivative with three-point boundary conditions were studied. The existence and uniqueness of the solution were proved by applying the Banach contraction mapping principle and Schaefer’s fixed point theorem.
Authors
- Mohammad Esmael Samei (ORCID: https://orcid.org/0000-0002-5450-3127)
- Maamar Benbachir (ORCID: https://orcid.org/0000-0003-3519-1153)
- Soheil Salahshour (ORCID: https://orcid.org/0000-0003-1390-3551)
- Kamel Bensassa
Institutions
- Bahçeşehir University (TR)
- University of Sciences and Technology Houari Boumediene (DZ)
- Bu-Ali Sina University (IR)
- University of Algiers Benyoucef Benkhedda (DZ)
- Higher National Veterinary School (DZ)
- Lebanese American University (LB)
- Okan University (TR)
Publication Details
- Journal
- BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS
- Published
- 2024-12-30
- DOI
- https://doi.org/10.31489/2024m4/41-56
- Citations
- 1
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.40