[HTML][HTML] Some new concepts related to fuzzy fractional calculus for up and down convex fuzzy-number valued functions and inequalities

MB Khan, G Santos-García, MA Noor… - Chaos, Solitons & …, 2022 - Elsevier
The theory of convex map** has a lot of applications in the field of applied mathematics
and engineering. The fuzzy Riemann-Liouville fractional integrals are the most significant …

[PDF][PDF] Treant, a, S

MB Khan, HG Zaini - Variational Problems and Applications, 2022 - files.znu.edu.ua
The concepts of convex and non-convex functions play a key role in the study of
optimization. So, with the help of these ideas, some inequalities can also be established …

[HTML][HTML] Some new versions of Hermite–Hadamard integral inequalities in fuzzy fractional calculus for generalized pre-invex Functions via fuzzy-interval-valued …

MB Khan, MA Noor, NA Shah, KM Abualnaja… - Fractal and …, 2022 - mdpi.com
The purpose of this study is to prove the existence of fractional integral inclusions that are
connected to the Hermite–Hadamard and Hermite–Hadamard–Fejér type inequalities for χ …

[HTML][HTML] Riemann–Liouville fractional integral inequalities for generalized pre-invex functions of interval-valued settings based upon pseudo order relation

MB Khan, HG Zaini, S Treanțǎ, MS Soliman… - Mathematics, 2022 - mdpi.com
The concepts of convex and non-convex functions play a key role in the study of
optimization. So, with the help of these ideas, some inequalities can also be established …

Hermite-Hadamard inequalities in fractional calculus for left and right harmonically convex functions via interval-valued settings

MB Khan, JE Macías-Díaz, S Treanțǎ… - Fractal and …, 2022 - mdpi.com
The purpose of this study is to define a new class of harmonically convex functions, which is
known as left and right harmonically convex interval-valued function (LR-𝓗-convex IV-F) …

[HTML][HTML] New class up and down pre-invex fuzzy number valued map**s and related inequalities via fuzzy riemann integrals

MB Khan, G Santos-García, S Treanțǎ, MS Soliman - Symmetry, 2022 - mdpi.com
Numerous applications of the theory of convex and nonconvex map** exist in the fields of
applied mathematics and engineering. In this paper, we have defined a new class of …

[HTML][HTML] Hermite–Hadamard and Pachpatte type inequalities for coordinated preinvex fuzzy-interval-valued functions pertaining to a fuzzy-interval double integral …

G Santos-García, MB Khan, H Alrweili, AA Alahmadi… - Mathematics, 2022 - mdpi.com
Many authors have recently examined the relationship between symmetry and generalized
convexity. Generalized convexity and symmetry have become a new area of study in the …

[HTML][HTML] Some Fuzzy Inequalities for Harmonically s-Convex Fuzzy Number Valued Functions in the Second Sense Integral

JE Macías-Díaz, MB Khan, H Alrweili, MS Soliman - Symmetry, 2022 - mdpi.com
Many fields of mathematics rely on convexity and nonconvexity, especially when studying
optimization issues, where it stands out for a variety of practical aspects. Owing to the …

[HTML][HTML] Generalized preinvex interval-valued functions and related Hermite–Hadamard type inequalities

MB Khan, S Treanțǎ, MS Soliman - Symmetry, 2022 - mdpi.com
This study aims to connect the idea of inequalities with Riemann integral operators, which
are of interest because of their characteristics and widespread use. We create a new …

Some certain fuzzy aumann integral inequalities for generalized convexity via fuzzy number valued map**s

MB Khan, HA Othman, MG Voskoglou, L Abdullah… - Mathematics, 2023 - mdpi.com
The topic of convex and nonconvex map** has many applications in engineering and
applied mathematics. The Aumann and fuzzy Aumann integrals are the most significant …