Article 2025 · 0 citations

The Generalized Power Fractional Derivative Operators with Respect to Another Function in the Kernel

Khan, Hira, Rahman, Gauhar, Samraiz, Muhammad, Yildiz, Cetin

Abstract

In this work, a new notion of the fractional derivatives with non-singular kernels the so-called power Caputo and Power Riemann-Liouville (R-L) operators associated with another function in the kernel are presented. The new defined operators are the generalization of different operators found in the literature. Some basic properties and formulas of the new operators are discussed. Additionally, novel formulas and properties of fractional derivatives and integrals in the Power Caputo and Power R-L senses are presented in this study.

Keywords

Mittag-Leffler function Laplace transform fractional derivative

WoS Categories

Mathematics

Sustainable Development Goals

Good Health and Well-being

Citation

Journal: ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES
Year: 2025
Volume: 52
Issue: 2
Pages: 594-607
ISSN: 1223-6934
eISSN: 2246-9958
DOI: 10.52846/ami.v52i2.2014
WoS UID: WOS:001655838000019

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