Results 41 to 50 of about 2,203,972 (289)
On quantum trigonometric fractional calculus
In this research work, we introduce an innovative concept known as the q-trigonometric derivative within the framework of the Caputo derivative. Our approach begins by introducing a novel notion of a trigonometric q-derivative and thoroughly examining ...
Lakhlifa Sadek, Ali Algefary
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In this paper,we are interested in the existence and uniqueness of positive solutions for integral boundary value problem with fractional q-derivative: Dqαu(t)+f(t,u(t),u(t))+g(t,u(t))=0 ...
Furi Guo, Shugui Kang, Fu Chen
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A note on convolution of Janowski type functions with q-derivative
Abstract The purpose of the present paper is to introduce and study new subclasses of analytic functions which generalize the classes of Janowski functions with q-derivative. We also study certain a convolution conditions, and apply the convolution conditions to get sufficient condition and the neighborhood results related to the ...
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In the article, we introduce the generalized exponentially μ-preinvex function, derive a new q-integral identity for second order q-differentiable function, and establish several new q-trapezoidal type integral inequalities for the function whose ...
Muhammad Uzair Awan +5 more
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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 the q−derivatives of a new sequence of operators
In this paper we obtain moment estimates for a new sequence of q−operators very recently introduced by Aral and Gupta [1]. We obtain degree of approximation by the q−derivatives of these operators. We show that for a fixed q, these operators do not possess simultaneous approximation properties.
Asha Ram Gairola, Girish Dobhal
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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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ABSTRACT Background Cytomegalovirus (CMV) is a recognized trigger of immune thrombocytopenia (ITP); however, its incidence and impact on disease course in children remain controversial. Therefore, we aimed to characterize the clinical course of pediatric patients with CMV‐associated ITP.
Oded Gilad +9 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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ABSTRACT Background Adult survivors of childhood acute lymphoblastic leukemia (ALL) are at risk of reduced exercise capacity, decreased physical activity levels, persistent fatigue, and neurocognitive deficits. The aim was to investigate exercise capacity and physical activity levels of adult survivors of childhood ALL and their associations with ...
Laura Jess +5 more
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