Results 41 to 50 of about 1,565,058 (384)
Advances in Difference Equations, 2020 Quantum calculus (the calculus without limit) appeared for the first time in fluid mechanics, noncommutative geometry and combinatorics studies. Recently, it has been included into the field of geometric function theory to extend differential operators ...
Rabha W. Ibrahim +2 more
doaj +1 more source
Some new Grüss inequalities associated with generalized fractional derivative
AIMS Mathematics, 2023 In this paper, we prove several new integral inequalities for the k-Hilfer fractional derivative operator, which is a fractional calculus operator. As a result, we have a whole new set of fractional integral inequalities.
Sajid Iqbal +4 more
doaj +1 more source
Stochastic Calculus of Wrapped Compartments [PDF]
, 2010 The Calculus of Wrapped Compartments (CWC) is a variant of the Calculus of Looping Sequences (CLS). While keeping the same expressiveness, CWC strongly simplifies the development of automatic tools for the analysis of biological systems.
Alessandra Di Pierro +6 more
core +4 more sources
Foundations for relativistic quantum theory. I. Feynman’s operator calculus and the Dyson conjectures [PDF]
, 2004 In this paper, we provide a representation theory for the Feynman operator calculus. This allows us to solve the general initial-value problem and construct the Dyson series.
T. Gill, W. Zachary
semanticscholar +1 more source
The Fractional Complex Step Method
Discrete Dynamics in Nature and Society, 2013 It is well known that the complex step method is a tool that calculates derivatives by imposing a complex step in a strict sense. We extended the method by employing the fractional calculus differential operator in this paper. The fractional calculus can
Rabha W. Ibrahim, Hamid A. Jalab
doaj +1 more source
Merge vs. "Lerge:" Problems of Association
Biolinguistics, 2023 It is shown that the proposal of identifying Merge and the Leibnizian addition operator runs up against the obstacle that the latter is associative while the former is not. The confound is attributed to insufficient appreciation of the difference between
Hans-Martin Gärtner
doaj +1 more source
Differential Calculus on Fuzzy Sphere and Scalar Field
, 1997 We find that there is an alternative possibility to define the chirality operator on the fuzzy sphere, due to the ambiguity of the operator ordering. Adopting this new chirality operator and the corresponding Dirac operator, we define Connes' spectral ...
Carow-Watamura, Ursula +1 more
core +2 more sources
The Application of Abstract Algebra in Operational Calculus
Fractal and FractionalThis paper is dedicated to elucidating the abstract algebraic structure of operational calculus theory. Based on abstract algebra and operational calculus, the operator algebra theory of Mikusiński has been revised. We restate the concept of Mikusiński’s
Ruiheng Jiang, Tianyi Zhou, Yajun Yin
doaj +1 more source
N-FRACTIONAL CALCULUS OPERATOR METHOD TO THE EULER EQUATION
Проблемы анализа, 2018 We can obtain the explicit solutions of the Euler equation by using the fractional calculus methods. So, we apply the N operator method in the fractional calculus to solve this equation in this paper.
R. Yilmazer, O. Ozturk
doaj +1 more source
Some Applications of Analytic Functions Associated with q-Fractional Operator
Mathematics, 2023 This paper introduces a new fractional operator by using the concepts of fractional q-calculus and q-Mittag-Leffler functions. With this fractional operator, Janowski functions are generalized and studied regarding their certain geometric characteristics.
Nazar Khan +5 more
doaj +1 more source