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Existence and stability results for nonlocal boundary value problems of fractional order.
- Source :
-
Boundary Value Problems . 4/18/2022, Vol. 2022 Issue 1, p1-15. 15p. - Publication Year :
- 2022
-
Abstract
- In this paper, we prove the existence and uniqueness of solutions for the nonlocal boundary value problem (BVP) using Caputo fractional derivative (CFD). We derive Green's function and give some estimation for it to derive our main results. The main principles applied to investigate our results are based on the Banach contraction fixed point theorem and Schauder fixed point approach. We dwell in detail on some results concerning the Hyers-Ulam (H-U) type and generalized H-U (g-H-U) type stability also for problem we are considering. We justify our results with an illustrative example. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BOUNDARY value problems
*CAPUTO fractional derivatives
Subjects
Details
- Language :
- English
- ISSN :
- 16872762
- Volume :
- 2022
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Boundary Value Problems
- Publication Type :
- Academic Journal
- Accession number :
- 156444556
- Full Text :
- https://doi.org/10.1186/s13661-022-01606-0