Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions

Miguel Vivas-Cortez; Rana Safdar Ali; Humira Saif; Mdi Begum Jeelani; Gauhar Rahman; Yasser Elmasry

doi:10.3390/fractalfract7080580

Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions

Miguel Vivas-Cortez, Rana Safdar Ali, Humira Saif, Mdi Begum Jeelani, Gauhar Rahman^*, Yasser Elmasry

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

3 Citas (Scopus)

Resumen

Fuzzy-interval valued functions (FIVFs) are the generalization of interval valued and real valued functions, which have a great contribution to resolve the problems arising in the theory of interval analysis. In this article, we elaborate the convexities and pre-invexities in aspects of FIVFs and investigate the existence of fuzzy fractional integral operators (FFIOs) having a generalized Bessel–Maitland function as their kernel. Using the class of convexities and pre-invexities FIVFs, we prove some Hermite–Hadamard (H-H) and trapezoid-type inequalities by the implementation of FFIOs. Additionally, we obtain other well known inequalities having significant behavior in the field of fuzzy interval analysis.

Idioma original	Inglés
Número de artículo	580
Publicación	Fractal and Fractional
Volumen	7
N.º	8
DOI	https://doi.org/10.3390/fractalfract7080580
Estado	Publicada - ago. 2023

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Publisher Copyright:
© 2023 by the authors.

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Financiadores	Número del financiador
Deanship of Scientific Research, King Khalid University	RGP.2/120/44

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abstract = "Fuzzy-interval valued functions (FIVFs) are the generalization of interval valued and real valued functions, which have a great contribution to resolve the problems arising in the theory of interval analysis. In this article, we elaborate the convexities and pre-invexities in aspects of FIVFs and investigate the existence of fuzzy fractional integral operators (FFIOs) having a generalized Bessel–Maitland function as their kernel. Using the class of convexities and pre-invexities FIVFs, we prove some Hermite–Hadamard (H-H) and trapezoid-type inequalities by the implementation of FFIOs. Additionally, we obtain other well known inequalities having significant behavior in the field of fuzzy interval analysis.",

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author = "Miguel Vivas-Cortez and Ali, {Rana Safdar} and Humira Saif and Jeelani, {Mdi Begum} and Gauhar Rahman and Yasser Elmasry",

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doi = "10.3390/fractalfract7080580",

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AU - Vivas-Cortez, Miguel

AU - Ali, Rana Safdar

AU - Saif, Humira

AU - Jeelani, Mdi Begum

AU - Rahman, Gauhar

AU - Elmasry, Yasser

PY - 2023/8

Y1 - 2023/8

N2 - Fuzzy-interval valued functions (FIVFs) are the generalization of interval valued and real valued functions, which have a great contribution to resolve the problems arising in the theory of interval analysis. In this article, we elaborate the convexities and pre-invexities in aspects of FIVFs and investigate the existence of fuzzy fractional integral operators (FFIOs) having a generalized Bessel–Maitland function as their kernel. Using the class of convexities and pre-invexities FIVFs, we prove some Hermite–Hadamard (H-H) and trapezoid-type inequalities by the implementation of FFIOs. Additionally, we obtain other well known inequalities having significant behavior in the field of fuzzy interval analysis.

AB - Fuzzy-interval valued functions (FIVFs) are the generalization of interval valued and real valued functions, which have a great contribution to resolve the problems arising in the theory of interval analysis. In this article, we elaborate the convexities and pre-invexities in aspects of FIVFs and investigate the existence of fuzzy fractional integral operators (FFIOs) having a generalized Bessel–Maitland function as their kernel. Using the class of convexities and pre-invexities FIVFs, we prove some Hermite–Hadamard (H-H) and trapezoid-type inequalities by the implementation of FFIOs. Additionally, we obtain other well known inequalities having significant behavior in the field of fuzzy interval analysis.

KW - Hermite–Hadamard (H-H)-type inequality

KW - convex (FIV) function

KW - extended generalized Bessel–Maitland function

KW - fuzzy fractional integral operator

KW - pre-invex FIV function

KW - trapezoid-type inequality

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Certain Novel Fractional Integral Inequalities via Fuzzy Interval Valued Functions

Resumen

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