EXPLORING CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES: A MULTI-PARAMETER APPROACH

Abdelghani Lakhdari; Nabil Mlaiki; Wedad Saleh; Thabet Abdeljawad; Badreddine Meftah

doi:10.1142/S0218348X25500550

EXPLORING CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES: A MULTI-PARAMETER APPROACH

Abdelghani Lakhdari, Nabil Mlaiki, Wedad Saleh, Thabet Abdeljawad^*, Badreddine Meftah

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we conduct a comprehensive investigation into conformable fractional integral inequalities, introducing a novel multi-parameter integral identity as a foundational tool for deriving significant results related to the Newton-Cotes formulas for one, two, and three points. These formulas are explored within the contexts of both conformable fractional integrals and Riemann-Liouville fractional integrals. Among the findings, this study provides new results, including refinements of several previously established results, thereby enhancing the existing body of knowledge. Numerical examples and graphical illustrations are provided to demonstrate the accuracy and effectiveness of the derived outcomes. This work offers fresh insights into the role of fractional integrals in numerical analysis, with potential applications across various scientific disciplines.

Original language	English
Article number	2550055
Journal	Fractals
Volume	33
Issue number	7
DOIs	https://doi.org/10.1142/S0218348X25500550
Publication status	Published - 2025
Externally published	Yes

Keywords

Conformable Fractional Integrals
Convex Functions
Multi-parameter Identity
Riemann-Liouville Fractional Integrals

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10.1142/S0218348X25500550

Cite this

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title = "EXPLORING CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES: A MULTI-PARAMETER APPROACH",

abstract = "In this paper, we conduct a comprehensive investigation into conformable fractional integral inequalities, introducing a novel multi-parameter integral identity as a foundational tool for deriving significant results related to the Newton-Cotes formulas for one, two, and three points. These formulas are explored within the contexts of both conformable fractional integrals and Riemann-Liouville fractional integrals. Among the findings, this study provides new results, including refinements of several previously established results, thereby enhancing the existing body of knowledge. Numerical examples and graphical illustrations are provided to demonstrate the accuracy and effectiveness of the derived outcomes. This work offers fresh insights into the role of fractional integrals in numerical analysis, with potential applications across various scientific disciplines.",

keywords = "Conformable Fractional Integrals, Convex Functions, Multi-parameter Identity, Riemann-Liouville Fractional Integrals",

author = "Abdelghani Lakhdari and Nabil Mlaiki and Wedad Saleh and Thabet Abdeljawad and Badreddine Meftah",

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T1 - EXPLORING CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES

T2 - A MULTI-PARAMETER APPROACH

AU - Lakhdari, Abdelghani

AU - Mlaiki, Nabil

AU - Saleh, Wedad

AU - Abdeljawad, Thabet

AU - Meftah, Badreddine

PY - 2025

Y1 - 2025

N2 - In this paper, we conduct a comprehensive investigation into conformable fractional integral inequalities, introducing a novel multi-parameter integral identity as a foundational tool for deriving significant results related to the Newton-Cotes formulas for one, two, and three points. These formulas are explored within the contexts of both conformable fractional integrals and Riemann-Liouville fractional integrals. Among the findings, this study provides new results, including refinements of several previously established results, thereby enhancing the existing body of knowledge. Numerical examples and graphical illustrations are provided to demonstrate the accuracy and effectiveness of the derived outcomes. This work offers fresh insights into the role of fractional integrals in numerical analysis, with potential applications across various scientific disciplines.

AB - In this paper, we conduct a comprehensive investigation into conformable fractional integral inequalities, introducing a novel multi-parameter integral identity as a foundational tool for deriving significant results related to the Newton-Cotes formulas for one, two, and three points. These formulas are explored within the contexts of both conformable fractional integrals and Riemann-Liouville fractional integrals. Among the findings, this study provides new results, including refinements of several previously established results, thereby enhancing the existing body of knowledge. Numerical examples and graphical illustrations are provided to demonstrate the accuracy and effectiveness of the derived outcomes. This work offers fresh insights into the role of fractional integrals in numerical analysis, with potential applications across various scientific disciplines.

KW - Conformable Fractional Integrals

KW - Convex Functions

KW - Multi-parameter Identity

KW - Riemann-Liouville Fractional Integrals

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DO - 10.1142/S0218348X25500550

M3 - Article

AN - SCOPUS:105008453698

SN - 0218-348X

VL - 33

JO - Fractals

JF - Fractals

IS - 7

M1 - 2550055

ER -

EXPLORING CONFORMABLE FRACTIONAL INTEGRAL INEQUALITIES: A MULTI-PARAMETER APPROACH

Abstract

Keywords

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