The multi-parameterized integral inequalities for multiplicative Riemann–Liouville fractional integrals

Du, Tingsong; Long, Yun

doi:10.1016/j.jmaa.2024.128692

Journal of Mathematical Analysis and Applications

2025

DOI: 10.1016/j.jmaa.2024.128692

|View full text |Cite

The multi-parameterized integral inequalities for multiplicative Riemann–Liouville fractional integrals

Tingsong Du,

Yun Long

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Publication Types

Select...

Article4

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 4 publications

References 58 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Analytical properties and related inequalities derived from multiplicative Hadamard k-fractional integrals

Zhou,

2024

Chaos, Solitons & Fractals

View full text Add to dashboard Cite

Analytical properties and related inequalities derived from multiplicative Hadamard k-fractional integrals

Zhou,

2024

Chaos, Solitons & Fractals

View full text Add to dashboard Cite

Milne and Hermite-Hadamard's type inequalities for strongly multiplicative convex function via multiplicative calculus

Umar,

Ihsan Butt,

Seol

2024

MATH

View full text Add to dashboard Cite

<p>In this paper, we take into account the notion of strongly multiplicative convex function and derive integral inequalities of Hermite-Hadamard ($ H.H $) type for such a function in the frame of multiplicative calculus. We also develop integral inequalities of $ H.H $ type for product and quotient of strongly multiplicative convex and strongly multiplicative concave functions via multiplicative calculus. All the results of the theorems are verified graphically by taking into account some reasonable examples. Additionally, we establish the inequalities of the Milne type for strongly multiplicative convex functions.</p>

show abstract

Some fractional integral inequalities involving extended Mittag-Leffler function with applications

Hussain,

Khaliq,

Rafeeq

et al. 2024

MATH

View full text Add to dashboard Cite

<p>Integral inequalities and the Mittag-Leffler function play a crucial role in many branches of mathematics and applications, including fractional calculus, mathematical physics, and engineering. In this paper, we introduced an extended generalized Mittag-Leffler function that involved several well-known Mittag-Leffler functions as a special case. We also introduced an associated generalized fractional integral to obtain some estimates for fractional integral inequalities of the Hermite-Hadamard and Hermite-Hadamard-Fejér types. This article offered several analytical tools that will be useful to anyone working in this field. To demonstrate the veracity of our findings, we offered a few numerical and graphical examples. A few applications of modified Bessel functions and unitarily invariant norm of matrices were also given.</p>

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

The multi-parameterized integral inequalities for multiplicative Riemann–Liouville fractional integrals

Cited by 4 publications

References 58 publications

Analytical properties and related inequalities derived from multiplicative Hadamard k-fractional integrals

Analytical properties and related inequalities derived from multiplicative Hadamard k-fractional integrals

Milne and Hermite-Hadamard's type inequalities for strongly multiplicative convex function via multiplicative calculus

Some fractional integral inequalities involving extended Mittag-Leffler function with applications

Contact Info

Product

Resources

About