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On Hyers–Ulam stability of a multi-order boundary value problems via Riemann–Liouville derivatives and integrals.
- Source :
-
Advances in Difference Equations . 10/2/2020, Vol. 2020 Issue 1, p1-20. 20p. - Publication Year :
- 2020
-
Abstract
- In this research paper, we introduce a general structure of a fractional boundary value problem in which a 2-term fractional differential equation has a fractional bi-order setting of Riemann–Liouville type. Moreover, we consider the boundary conditions of the proposed problem as mixed Riemann–Liouville integro-derivative conditions with four different orders which cover many special cases studied before. In the first step, we investigate the existence and uniqueness of solutions for the given multi-order boundary value problem, and then the Hyers–Ulam stability is another notion in this regard which we study. Finally, we provide two illustrative examples to support our theoretical findings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BOUNDARY value problems
*FRACTIONAL differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 16871839
- Volume :
- 2020
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Advances in Difference Equations
- Publication Type :
- Academic Journal
- Accession number :
- 146196998
- Full Text :
- https://doi.org/10.1186/s13662-020-03012-1