Results 11 to 20 of about 6,462 (294)

The Influence of Multiplicative Noise and Fractional Derivative on the Solutions of the Stochastic Fractional Hirota–Maccari System

Axioms, 2022
We address here the space-fractional stochastic Hirota–Maccari system (SFSHMs) derived by the multiplicative Brownian motion in the Stratonovich sense. To acquire innovative elliptic, trigonometric and rational stochastic fractional solutions, we employ ...
Farah M. Al-Askar, Wael W. Mohammed, Clemente Cesarano, M. El-Morshedy   +3 more
doaj   +2 more sources

Analysis of Quantum Multiplicative Calculus and Related Inequalities

Mathematics
This article investigates the exact meaning of a quantum derivative result and the corresponding definition of a quantum definite integral in multiplicative calculus from a geometrical viewpoint.
Muhammad Nasim Aftab, Saad Ihsan Butt, Mohammed Alammar, Youngsoo Seol   +3 more
doaj   +2 more sources

A Fractional-Order Telegraph Diffusion Model for Restoring Texture Images with Multiplicative Noise

Fractal and Fractional, 2023
Multiplicative noise removal from texture images poses a significant challenge. Different from the diffusion equation-based filter, we consider the telegraph diffusion equation-based model, which can effectively preserve fine structures and edges for ...
Xiangyu Bai, Dazhi Zhang, Shengzhu Shi, Wenjuan Yao, Zhichang Guo, Jiebao Sun   +5 more
doaj   +2 more sources

Applications of Mittag–Leffler Functions on a Subclass of Meromorphic Functions Influenced by the Definition of a Non-Newtonian Derivative

Fractal and Fractional
In this paper, we defined a new family of meromorphic functions whose analytic characterization was motivated by the definition of the multiplicative derivative.
Daniel Breaz, Kadhavoor R. Karthikeyan, Gangadharan Murugusundaramoorthy   +2 more
doaj   +2 more sources

Impact of Fractional Derivative and Brownian Motion on the Solutions of the Radhakrishnan-Kundu-Lakshmanan Equation

Journal of Function Spaces, 2023
The fractional-stochastic Radhakrishnan-Kundu-Lakshmanan equation (FSRKLE) is considered here. To attain new hyperbolic, elliptic, rational, and trigonometric stochastic-fractional solutions, we use two various methods such as the sine-cosine and the ...
Farah M. Al-Askar
doaj   +2 more sources

Spatial Discretization for Stochastic Semi-Linear Subdiffusion Equations Driven by Fractionally Integrated Multiplicative Space-Time White Noise [PDF]

Mathematics, 2021
Spatial discretization of the stochastic semi-linear subdiffusion equations driven by fractionally integrated multiplicative space-time white noise is considered.
Junmei Wang, James Hoult, Yubin Yan
doaj   +2 more sources

Inequalities of a Class of Analytic Functions Involving Multiplicative Derivative

Mathematics
Using the concepts of multiplicative calculus and subordination of analytic functions, we define a new class of starlike bi-univalent functions based on a symmetric operator, which involved the three parameter Mittag-Leffler function.
Kadhavoor R. Karthikeyan, Daniel Breaz, Gangadharan Murugusundaramoorthy, Ganapathi Thirupathi   +3 more
doaj   +2 more sources

Efficient Multiplicative Calculus-Based Iterative Scheme for Nonlinear Engineering Applications

Mathematics
It is essential to solve nonlinear equations in engineering, where accuracy and precision are critical. In this paper, a novel family of iterative methods for finding the simple roots of nonlinear equations based on multiplicative calculus is introduced.
Mudassir Shams, Nasreen Kausar, Ioana Alexandra Șomîtcă   +2 more
doaj   +3 more sources

A Multiplicative Noises and Additive Correlated Noises Cubature Kalman Filter and Its Application in Quadruped Robot

IEEE Access, 2020
The traditional Cubature Kalman Filter (CKF) and its derived algorithms cannot work without the two hypotheses of Kalman Filter (KF), one is that the system model is accurate and the other is the system is only influenced by independent white noise with ...
J. Liu, Pengfei Wang, Mantian Li, Wei Guo, Fusheng Zha, Lining Sun, Penglong Zheng   +6 more
doaj   +1 more source

Multiple Lie derivatives and forests [PDF]

Advances in Mathematics, 2019
We obtain a complete time expansion of the pull-back operator generated by a real analytic flow of real analytic automorphisms acting on analytic tensor sections of a manifold. Our expansion is given in terms of multiple Lie derivatives. Motivated by this expansion, we provide a rather simple and explicit estimate for higher order covariant derivatives
Hivert, Florent, Pali, Nefton
openaire   +3 more sources