Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivative [PDF]
Scientific ReportsThis study explores novel optical soliton solutions for the generalized derivative nonlinear conformable Schrödinger equation under the influence of multiplicative white noise.
Muhammad Amin S. Murad +6 more
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Higher-Order Multiplicative Derivative Iterative Scheme to Solve the Nonlinear Problems
Mathematical and Computational Applications, 2023 Grossman and Katz (five decades ago) suggested a new definition of differential and integral calculus which utilizes the multiplicative and division operator as compared to addition and subtraction.
Gurjeet Singh +2 more
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An introduction to non-smooth convex analysis via multiplicative derivative
Journal of Taibah University for Science, 2019 In this study, *-directional derivative and *-subgradient are defined using the multiplicative derivative, making a new contribution to non-Newtonian calculus for use in non-smooth analysis.
Ali Hakan Tor
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Mathematics, 2022 The stochastic fractional-space Korteweg–de Vries equation (SFSKdVE) in the sense of the M-truncated derivative is examined in this article. In the Itô sense, the SFSKdVE is forced by multiplicative white noise.
Wael W. Mohammed +3 more
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Axioms, 2023 We take into account the (2 + 1)-dimensional stochastic Kadomtsev–Petviashvili equation with beta-derivative (SKPE-BD) in this paper. To develop new hyperbolic, trigonometric, elliptic, and rational solutions, the Riccati equation and Jacobi elliptic ...
Farah M. Al-Askar +2 more
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Dynamical behavior of analytic solutions of the generalized derivative nonlinear Schrödinger equation under stochastic perturbations in fiber communication systems [PDF]
Scientific ReportsIn this study, a range of novel optical soliton solutions to the nonlinear conformable Schrödinger equation influenced by multiplicative white noise is presented. By employing the unified method, several types of solutions are derived, including solitary
Muhammad Amin S. Murad +3 more
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Some Extended Properties and Applications of Multiplicative Time Scale Calculus
Journal of Function SpacesIn this paper, we reconstruct the chain rules defined on the time scale in multiplicative calculus. In addition, we define the multiplicative derivative of the inverse of a function defined on an arbitrary time scale.
Sertac Goktas +3 more
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Machine learning and near-infrared fusion-driven quantitative characterization and detection of protein content in maize kernels [PDF]
Frontiers in NutritionThis study aims to develop a rapid and non-destructive method for determining protein content in maize using near-infrared spectroscopy (NIRS). To mitigate the effects of surface irregularities and uneven protein distribution in whole kernels on spectral
Yang Yu +5 more
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On the multiplicative Legendre equation
Journal of Taibah University for Science, 2022 When exponentials are employed to model procedures and efficacies appearing in real life, an additive derivative of this type of function does not exist.
Sertac Goktas
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A Multiplicative Calculus Approach to Solve Applied Nonlinear Models
Mathematical and Computational Applications, 2023 Problems such as population growth, continuous stirred tank reactor (CSTR), and ideal gas have been studied over the last four decades in the fields of medical science, engineering, and applied science, respectively.
Gurjeet Singh +2 more
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