Results 41 to 50 of about 1,829,120 (282)
Structural scale q-derivative and the LLG equation in a scenario with fractionality [PDF]
In the present contribution, we study the Landau-Lifshitz-Gilbert equation with two versions of structural derivatives recently proposed: the scale $q-$derivative in the non-extensive statistical mechanics and the axiomatic metric derivative, which presents Mittag-Leffler functions as eigenfunctions.
Weberszpil, José +1 more
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On q-Operators and Summation of Some q-Series
Using Jackson's q-derivative and the q-Stirling numbers, we establish some transformation theorems leading to the values of some convergent q-series.
Sana Guesmi, Ahmed Fitouhi
doaj +1 more source
ON Q-DERIVATIONS OF BE-ALGEBRAS
BE-algebra is an algebra(푋;∗,1)of type (2,0)that satisfies the following axioms:(퐵E1) 푥∗푥=1, (퐵E2) 푥∗1=1, (퐵E3) 1∗푥=푥, and (퐵E4) 푥∗(푦∗푧)=푦∗(푥∗푧)for all푥,푦,푧∈푋.In this paper, the notionof q-derivation in BE-algebra is defined and its properties are discussed.
Wahyu Anhari +2 more
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Opial inequality in q-calculus
In this article we give q-analogs of the Opial inequality for q-decreasing functions. Using a closed form of the restricted q-integral (see Gauchman in Comput. Math. Appl. 47:281–300, 2004), we establish a new integral inequality of the q-Opial type.
Tatjana Z. Mirković +2 more
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Subclasses of Analytic Functions with Negative Coefficients Involving q-Derivative Operator
LetAdenote the class of functionsfwhich are analytic in the open unit diskU. The subclass ofAconsisting of univalent functionsis denoted byM.
Andy Liew Pik Hern +2 more
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ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo +5 more
wiley +1 more source
q-Analogues and properties of the Laplace-type integral operator in the quantum calculus theory
In this paper, we discuss the q-Laplace-type integral operator on certain class of special functions. We propose q-analogues and obtain results involving polynomials of even orders and functions of q-trigonometric types.
Shrideh Khalaf Al-Omari
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On t-Derivations of BE-algebras
BE-algebra is a non-empty set with a binary operation and a constant 1 which is denoted by , and fulfill certain axioms. In this article, the concept of t-derivation in BE-algebra is defined and some of its properties are investigated. Then, the properties of the fixed set and kernel of a t-derivation in BE-algebra are identified based on their ...
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ABSTRACT Background Japan has one of the highest dialysis prevalence rates worldwide and a shrinking, aging population. Whether dialysis burden has entered a sustained post‐peak phase or whether recent declines partly reflect pandemic‐related disruptions remains uncertain.
Hatice Şahin +2 more
wiley +1 more source
Certain Subclasses of β-Uniformly q-Starlike and β-Uniformly q-Convex Functions
In this paper, the authors introduced certain subclasses β-uniformly q-starlike and β-uniformly q-convex functions of order α involving the q-derivative operator defined in the open unit disc. Coefficient bounds were also investigated.
Eman S. A. AbuJarad +3 more
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