Numerical approximation method for hybrid non-linear Caputo fractional
differential equations with boundary value conditions
- Khaled Ben Amara,
- Maria Isabel Berenguer
Maria Isabel Berenguer
Universidad de Granada Departamento de Ingenieria Civil
Author ProfileAbstract
We address the problem of existence, uniqueness and approximation of the
solution of a large class of fractional integral differential equations
with boundary conditions. Based on fixed point techniques with Boyd-Wong
type conditions, the existence and uniqueness of the solution is
investigated. This, together with the use of certain types of
biorthogonal systems, allows us to propose a method to approximate the
solution which is tested with several examples.30 Oct 2023Submitted to Mathematical Methods in the Applied Sciences 31 Oct 2023Submission Checks Completed
31 Oct 2023Assigned to Editor
09 Nov 2023Review(s) Completed, Editorial Evaluation Pending
12 Nov 2023Reviewer(s) Assigned