Back to Search
Start Over
Monotone Iterative Method for Two Types of Integral Boundary Value Problems of a Nonlinear Fractional Differential System with Deviating Arguments
- Source :
- Journal of Mathematics, Vol 2021 (2021)
- Publication Year :
- 2021
- Publisher :
- Hindawi Limited, 2021.
-
Abstract
- This paper concerns on two types of integral boundary value problems of a nonlinear fractional differential system, i . e ., nonlocal strip integral boundary value problems and coupled integral boundary value problems. With the aid of the monotone iterative method combined with the upper and lower solutions, the existence of extremal system of solutions for the above two types of differential systems is investigated. In addition, a new comparison theorem for fractional differential system is also established, which is crucial for the proof of the main theorem of this paper. At the end, an example explaining how our studies can be used is also given.
- Subjects :
- Comparison theorem
Monotone iterative method
Article Subject
General Mathematics
010102 general mathematics
Differential systems
01 natural sciences
010101 applied mathematics
Nonlinear system
QA1-939
Applied mathematics
Boundary value problem
0101 mathematics
Fractional differential
Mathematics
Subjects
Details
- ISSN :
- 23144785 and 23144629
- Volume :
- 2021
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematics
- Accession number :
- edsair.doi.dedup.....b5a5b1e25e46d62bdbb57b5c98cc167b