Results 1 to 10 of about 13,043 (276)

Q-calculus`un özel fonksiyonlara uygulamaları

, 2021
Bu tezin amacı, klasik analizde verilen bazı özel fonksiyonların $q$-analoglarını tüm gerçel değerlere genişletmek ve bu fonksiyonların tanım kümeleri üzerinde geçerli olan özellikleri tüm gerçel değerlere taşımaktır. Bunun için Van der Corput tarafından geliştirilen neutrix ve neutrix limit kavramlarından yararlanılmıştır.Çalışma sekiz bölümünden ...
openaire   +1 more source

Optimal harvesting policy for the Beverton-Holt quantum difference model [PDF]

Mathematica Moravica, 2016
In this paper, we introduce exploitation to the Beverton-Holt equation in the quantum calculus time setting. We first give a brief introduction to quantum calculus and to the Beverton-Holt q-difference equation before formulating the harvested Beverton ...
Bohner Martin, Streipert Sabrina
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Remarks on q-calculus and integrability

, 2002
Relations between differential calculi, quantum groups, integrable systems, and q-analysis are studied. Some new Hirota type formulas are established for qKP along with variations on classical Hirota formulas.
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A Voronovskaya type theorem for q-Szász-Mirakyan-Kantorovich operators

Journal of Numerical Analysis and Approximation Theory, 2011
In this work, we consider a Kantorovich type generalization of \(q\)-Szász-Mirakyan operators via Riemann type \(q\)-integral and prove a Voronovskaya type theorem by using suitable machinery of \(q\)-calculus.
Gülen Başcanbaz-Tunca, Ayçegül Erençin   +1 more
doaj   +2 more sources

New modifications of natural transform iterative method and q-homotopy analysis method applied to fractional order KDV-Burger and Sawada–Kotera equations

Partial Differential Equations in Applied Mathematics
This manuscript presents enhanced versions of two methods: the natural transform iterative method (NTIM) and the q-homotopy analysis method (q-HAM). These methods harness concepts from Fractional Calculus, particularly leveraging the Caputo fractional ...
Muayyad Mahmood Khalil, Siddiq Ur Rehman, Ali Hasan Ali, Rashid Nawaz, Belal Batiha   +4 more
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Fundamentals of Dual Basic Symmetric Quantum Calculus and Its Fractional Perspectives

Fractal and Fractional
Taylor expansion is a remarkable tool with broad applications in analysis, science, engineering, and mathematics. In this manuscript, we derive a proof of generalized Taylor expansion for polynomials and write its particular case in symmetric quantum ...
Muhammad Nasim Aftab, Saad Ihsan Butt, Youngsoo Seol   +2 more
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An Introduction to Calculus in the q− Real Spinor Variables

Revista Integración
In this paper we introduce the calculus in q− real spinor variables. We establish the q− difference operator for q− real spinor variables and the q− spinor real integral formulas.
Julio Cesar Jaramillo Quiceno
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Stability analysis of Caputo q-fractional Langevin differential equations under q-fractional integral conditions

Journal of Inequalities and Applications
The primary objective of the paper is exploring the Ulam stability ( US ) $(\mathcal{US})$ of a Caputo q-fractional Langevin differential equation ( FLDE ) $(\mathcal{FLDE})$ under q-fractional integral boundary conditions ( FIBC s ) $(\mathcal{FIBC}s)$ .
Khurshida Parvin, Bipan Hazarika, Om Kalthum S. K. Mohamed, Runda A. A. Bashir, Mustafa M. Mohammed, Mohammed N. Alshehri, Khdija O. Taha, Awad A. Bakery   +7 more
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Function preserving the wavelets-associated approximation by Szász-type operators in quantum calculus

Journal of Inequalities and Applications
In the present article we obtain the approximation properties of Szász-type operators by use of wavelets in quantum calculus. We construct the Szász-type operators by q-calculus and introduce the Kantrovich variant of this operator by wavelets, then ...
Md. Nasiruzzaman
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Quaternions: Quantum calculus approach with applications

Kuwait Journal of Science, 2019
In this paper we introduce two types of quaternion sequences with components including quantum integers. We also introduce quantum quaternion polynomials. Moreover, we give some properties and identities for these quantum quaternions.
Ilker Akkus, Gonca Kizilaslan
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