Shehu and Formable Integral Transforms on CPCF and CPABC Derivatives

Abstract

In this paper, we address problems that involve the constant proportional Atangana-Baleanu-Caputo (CPABC) and constant proportional Caputo-Fabrizio (CPCF) derivatives. These derivatives introduce new challenges and opportunities in fractional calculus. Our approach is different from traditional methods like the Laplace transform; instead, we use the Shehu and Formable integral transforms to solve these problems. By using these methods, we find solutions that help us understand how systems behave with CPCF and CPABC derivatives. (c) 2026 L&H Scientific Publishing, LLC. All rights reserved.