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Existence and U-H-R Stability of Solutions to the Implicit Nonlinear FBVP in the Variable Order Settings.
- Source :
-
Mathematics (2227-7390) . Jul2021, Vol. 9 Issue 14, p1693-1693. 1p. - Publication Year :
- 2021
-
Abstract
- In this paper, the existence of the solution and its stability to the fractional boundary value problem (FBVP) were investigated for an implicit nonlinear fractional differential equation (VOFDE) of variable order. All existence criteria of the solutions in our establishments were derived via Krasnoselskii's fixed point theorem and in the sequel, and its Ulam–Hyers–Rassias (U-H-R) stability is checked. An illustrative example is presented at the end of this paper to validate our findings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *BOUNDARY value problems
*NONLINEAR differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 9
- Issue :
- 14
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 151591310
- Full Text :
- https://doi.org/10.3390/math9141693