[PDF][PDF] Newly defined conformable derivatives

DR Anderson, DJ Ulness - Adv. Dyn. Syst. Appl, 2015 - researchgate.net
Motivated by a proportional-derivative (PD) controller, a more precise definition of a
conformable derivative is introduced and explored. Results include basic conformable …

Inequalities for α-fractional differentiable functions

YM Chu, M Adil Khan, T Ali… - Journal of Inequalities and …, 2017 - Springer
In this article, we present an identity and several Hermite-Hadamard type inequalities for
conformable fractional integrals. As applications, we establish some inequalities for certain …

Optical solitons of space-time fractional Fokas–Lenells equation with two versatile integration architectures

N Raza, MS Osman, AH Abdel-Aty… - Advances in Difference …, 2020 - Springer
Nonlinear Schrödinger's equation and its variation structures assume a significant job in
soliton dynamics. The soliton solutions of space-time fractional Fokas–Lenells equation with …

Some New Hermite–Hadamard‐Type Inequalities Associated with Conformable Fractional Integrals and Their Applications

A Iqbal, MA Khan, S Ullah… - Journal of Function Spaces, 2020 - Wiley Online Library
Some New Hermite–Hadamard‐Type Inequalities Associated with Conformable Fractional
Integrals and Their Applications Page 1 Research Article Some New Hermite–Hadamard-Type …

Conformable Fractional Integrals Versions of Hermite‐Hadamard Inequalities and Their Generalizations

M Adil Khan, YM Chu, A Kashuri… - Journal of function …, 2018 - Wiley Online Library
We prove new Hermite‐Hadamard inequalities for conformable fractional integrals by using
convex function, s‐convex, and coordinate convex functions. We prove new Montgomery …

Hermite‐Hadamard‐Fejér Inequalities for Conformable Fractional Integrals via Preinvex Functions

Y Khurshid, M Adil Khan, YM Chu… - Journal of Function …, 2019 - Wiley Online Library
In this paper, we present a Hermite‐Hadamard‐Fejér inequality for conformable fractional
integrals by using symmetric preinvex functions. We also establish an identity associated …

Hermite–Hadamard type inequalities for conformable fractional integrals

MA Khan, T Ali, SS Dragomir, MZ Sarikaya - Revista de la Real Academia …, 2018 - Springer
In this paper, first, we prove an identity for conformable fractional integrals. Second, by using
this identity we will present some integral inequalities connected with the left hand side of …

[PDF][PDF] Generalization of Hermite-Hadamard type inequalities via conformable fractional integrals

MA Khan, Y Khurshid, TS Du, YM Chu - J. Funct. Spaces, 2018 - pdfs.semanticscholar.org
In the field of nonlinear programming and optimization theory, no one can ignore the role of
convex sets and convex functions. For the class of convex functions, many inequalities have …

[PDF][PDF] On the nature of the conformable derivative and its applications to physics

DR Anderson, E Camrud, DJ Ulness - J. Fract. Calc. Appl, 2019 - jfca.journals.ekb.eg
The purpose of this work is to show that the Khalil and Katagampoula conformable
derivatives are equivalent to the simple change of variables x→ xα/α, where α is the order of …

A Review of Hermite–Hadamard Inequality for α-Type Real-Valued Convex Functions

O Almutairi, A Kılıçman - Symmetry, 2022 - mdpi.com
Inequalities play important roles not only in mathematics but also in other fields, such as
economics and engineering. Even though many results are published as Hermite …