Sufficient criteria for the existence of solution to nonlinear fractal-fractional order coupled system with coupled integral boundary conditions
- Resource Type
- Original Paper
- Authors
- Shah, Kamal; Sarwar, Muhammad; Abdeljawad, Thabet; Shafiullah
- Source
- Journal of Applied Mathematics and Computing. 70(2):1771-1785
- Subject
- Fractal-fractional derivative
Coupled system
Karsnoselskii’s fixed point theorem
26A33
34A08
28A80
- Language
- English
- ISSN
- 1598-5865
1865-2085
A coupled system of fractal-fractional differential equations with coupled integral boundary conditions is considered. We implement Krasnoselskii’s type fixed point theorem to establish the criteria for existence of at least one solution to the considered coupled system. Also, results regarding stability of Ulam–Hyers type are derived. We give an example to justify our results.