## THERMAL SCIENCE

International Scientific Journal

### STUDY OF A COUPLED SYSTEM WITH ANTI-PERIODIC BOUNDARY CONDITIONS UNDER PIECEWISE CAPUTO-FABRIZIO DERIVATIVE

**ABSTRACT**

A coupled system under Caputo-Fabrizio fractional order derivative (CFFOD) with antiperiodic boundary condition is considered. We use piecewise version of CFFOD. Sufficient conditions for the existence and uniqueness of solution by applying the Banach, Krasnoselskii's fixed point theorems. Also some appropriate results for Hyers-Ulam (H-U) stability analysis is established. Proper example is given to verify the results.

**KEYWORDS**

PAPER SUBMITTED: 2022-03-15

PAPER REVISED: 2022-04-14

PAPER ACCEPTED: 2022-04-24

PUBLISHED ONLINE: 2023-04-08

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