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On a Riemann–Liouville Type Implicit Coupled System via Generalized Boundary Conditions †.
- Source :
-
Mathematics (2227-7390) . Jun2021, Vol. 9 Issue 11, p1205. 1p. - Publication Year :
- 2021
-
Abstract
- We study a coupled system of implicit differential equations with fractional-order differential boundary conditions and the Riemann–Liouville derivative. The existence, uniqueness, and at least one solution are established by applying the Banach contraction and Leray–Schauder fixed point theorem. Furthermore, Hyers–Ulam type stabilities are discussed. An example is presented to illustrate our main result. The suggested system is the generalization of fourth-order ordinary differential equations with anti-periodic, classical, and initial boundary conditions. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BOUNDARY value problems
*DIFFERENTIAL equations
*ORDINARY differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 150832421
- Full Text :
- https://doi.org/10.3390/math9111205