Some novel inequalities for Caputo Fabrizio fractional integrals involving -convex functions with applications

Autor: Asfand Fahad, Ammara Nosheen, Khuram Ali Khan, Maria Tariq, Rostin Matendo Mabela, Ahmed S.M. Alzaidi
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematical and Computer Modelling of Dynamical Systems, Vol 30, Iss 1, Pp 1-15 (2024)
Druh dokumentu: article
ISSN: 13873954
1744-5051
1387-3954
87377667
DOI: 10.1080/13873954.2023.2301075
Popis: Fractional calculus is extremely important and should not be undervalued due to its critical role in the theory of inequalities. In this article, different generalized Hermite-Hadamard type inequalities for functions whose modulus of first derivatives are [Formula: see text]-convex are presented, via Caputo-Fabrizio integrals. Graphical justifications of main results are presented. Graphs enable us to support our conclusions and show the reliability of our findings. Additionally, some applications to probability theory and numerical integration are also established. As special cases, certain established outcomes from different articles are recaptured. This study acts as a stimulant for future studies, inspiring researchers to investigate more thorough results by utilizing generalized fractional operators and broadening the idea of convexity.
Databáze: Directory of Open Access Journals
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