New classes of unified fractional integral inequalities

Autor: Gauhar Rahman, Muhammad Samraiz, Saima Naheed, Artion Kashuri, Kamsing Nonlaopon
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 8, Pp 15563-15583 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022853?viewType=HTML
Popis: Many researchers in recent years have studied fractional integrals and derivatives. Some authors recently introduced generalized fractional integrals, the so-called unified fractional integrals. In this article, we establish certain new integral inequalities by employing the unified fractional integral operators. In fact, for a class of n (n∈N), positive continuous and decreasing functions on [v1,v2], certain new classes of integral inequalities are discussed. The inequalities established in this manuscript are more general forms of the classical inequalities given in the literature. The existing classical inequalities can be rectified by imposing the conditions stated in remarks. By imposing certain conditions on ℏ and Λ available in the literature, many new forms of fractional integral inequalities can be produced.
Databáze: Directory of Open Access Journals