SOME NEW RESULTS OF INITIAL BOUNDARY PROBLEM CONTAIN ABC-FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER α∈(2,3)

Ava Rafeeq(1), Muhammad Muhammad(2),


(1) Department of Mathematics, Faculty of Science, University of Zakho, Duhok
(2) Department of Mathematics, Faculty of Science, University of Zakho, Duhok
Corresponding Author

Abstract


The purpose of this research is to investegate the existence and uniqueness of solutions for a new  class of Atangana-Baleanu fractional differential equations of order  with periodic boundary conditions. Our results are based on the fixed points of Schauder, and Banach. In addition, investigate the stability of the solution using the Hyers-Ulam stable. Finally, presented an example to satisfy all theorems studies.

MSC 2010:  34A08, 26A33, 34G20, 34C25, 45J05   


Keywords


ABC-Derivatives, Banach fixed point theorem, Existence and Uniqueness solutions, Hyers-Ulam stable, Periodic boundary conditions, Schauder’s fixed point theorem.

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DOI: 10.56327/ijiscs.v7i1.1420

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