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Numerical approximation method for hybrid non-linear Caputo fractional differential equations with boundary value conditions
  • Khaled Ben Amara,
  • Maria Isabel Berenguer
Khaled Ben Amara
Universite de Sfax Faculte des Sciences de Sfax

Corresponding Author:[email protected]

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Maria Isabel Berenguer
Universidad de Granada Departamento de Ingenieria Civil
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Abstract

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