Results 41 to 50 of about 2,203,972 (289)

On quantum trigonometric fractional calculus

open access: yesAlexandria Engineering Journal
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
doaj   +1 more source

Existence and uniqueness results to positive solutions of integral boundary value problem for fractional q-derivatives

open access: yesAdvances in Difference Equations, 2018
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
doaj   +1 more source

A note on convolution of Janowski type functions with q-derivative

open access: yesActa Universitatis Sapientiae, Mathematica, 2023
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 ...
openaire   +3 more sources

A new q-integral identity and estimation of its bounds involving generalized exponentially μ-preinvex functions

open access: yesAdvances in Difference Equations, 2020
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
doaj   +1 more source

Structural scale q-derivative and the LLG equation in a scenario with fractionality [PDF]

open access: yesEPL (Europhysics Letters), 2017
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
openaire   +2 more sources

On the q−derivatives of a new sequence of operators

open access: yesLe Matematiche, 2013
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
openaire   +2 more sources

ON Q-DERIVATIONS OF BE-ALGEBRAS

open access: yes, 2022
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
openaire   +2 more sources

Biphasic Clinical Course of Pediatric Cytomegalovirus‐Associated Immune Thrombocytopenia: Early Poor Treatment Response but Favorable Long‐Term Outcomes

open access: yesPediatric Blood &Cancer, EarlyView.
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
wiley   +1 more source

Opial inequality in q-calculus

open access: yesJournal of Inequalities and Applications, 2018
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
doaj   +1 more source

Exercise Capacity, Physical Activity, Fatigue, and Neurocognitive Function in Adult Survivors of Childhood Acute Lymphoblastic Leukemia

open access: yesPediatric Blood &Cancer, EarlyView.
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
wiley   +1 more source

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