Results 1 to 10 of about 1,838,482 (246)

Novel notions of symmetric Hahn calculus and related inequalities

Journal of Inequalities and Applications
In this manuscript, we demonstrate a graphical comparison analysis of the classical, quantum, and symmetric quantum derivatives for any continuous function, evaluated at z = 1 $\mathfrak{z}=1$ and q = 0.5 $\mathtt{q}=0.5$ .
Saad Ihsan Butt, Muhammad Nasim Aftab, Asfand Fahad, Yuanheng Wang, Bandar Bin Mohsin   +4 more
doaj   +1 more source

Hybrid error estimates of Weddle's formula and their applications for various classes of functions

Ain Shams Engineering Journal
This study presents new bounds on Weddle's type formula for differentiable functions using proportional Caputo-Hybrid operators (Pcap). These operators provide hybrid estimates; for α=1, they yield first-derivative estimates, while for α=0, they ...
Muhammad Umar, Saad Ihsan Butt, Dawood Khan, Sanja Tipurić-Spužević, Youngsoo Seol   +4 more
doaj   +1 more source

Q-Analogues of Parallel Numerical Scheme Based on Neural Networks and Their Engineering Applications

Applied Sciences
Quantum calculus can provide new insights into the nonlinear behaviour of functions and equations, addressing problems that may be difficult to tackle by classical calculus due to high nonlinearity.
Mudassir Shams, Bruno Carpentieri
doaj   +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
doaj  

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
doaj   +1 more source

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

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
doaj   +1 more source

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
doaj   +1 more source

New subclass of meromorphic harmonic functions defined by symmetric q-calculus and domain of Janowski functions. [PDF]

Heliyon
Abubakar AA, Matarneh K, Al-Shaikh SB, Khan MF, Kamal M.   +4 more
europepmc   +1 more source

Per- and polyfluoroalkyl substances and kidney disease: Genetic associations and computational prioritization of candidate toxicogenomic pathways. [PDF]

PLoS Comput Biol
Zeng D, Wang Y, Wang Y, Li G, Wang W, Zuo Z.   +5 more
europepmc   +1 more source