Results 1 to 10 of about 194,477 (284)
MathematicsIntegral inequalities are very useful in finding the error bounds for numerical integration formulas. In this paper, we prove some multiplicative integral inequalities for first-time differentiable s-convex functions.
Muhammad Aamir Ali +2 more
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Multiplicative Dirac System [PDF]
Kuwait Journal of Science, 2022 We define a Dirac system in multiplicative calculus by some algebraic structures. Asymptotic estimates for eigenfunctions of the multiplicative Dirac system are obtained.
Tuba Gulsen, Emrah Yilmaz, Sertac Goktas
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Partial Differential Equations in Applied MathematicsMultiplicative calculus is a mathematical system that offers an alternative to traditional calculus. Instead of using addition and subtraction to measure change, as in traditional calculus, it uses multiplication and division.
Farooq Ahmed Shāh, Gabor Pintér
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Chaos of the new multiplicative logistic map [PDF]
Scientific ReportsThis paper proposes a novel multiplicative logistic map derived from the rule of multiplicative calculus and introduces an additional parametric freedom that fundamentally extends its dynamical capabilities. The theoretical and numerical analysis confirm
Shilong Gao, Bixia Kan
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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.
Sertaç Goktas, Yusuf Gurefe, Asli Oner
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Boundary Value ProblemsIn this paper, we introduce the concept of strongly multiplicative convex functions and establish Hermite–Hadamard (HH)-type integral inequalities using the Atangana–Baleanu (AB) fractional integral operator within the framework of multiplicative ...
Saad Ihsan Butt +2 more
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On a Stable Multiplicative Calculus-Based Hybrid Parallel Scheme for Nonlinear Equations
MathematicsFractional-order nonlinear equation-solving methods are crucial in engineering, where complex system modeling requires great precision and accuracy. Engineers may design more reliable mechanisms, enhance performance, and develop more accurate predictions
Mudassir Shams
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Transformasi Fourier Multiplikatif Dan Aplikasinya Pada Persamaan Diferensial Multiplikatif
Jurnal Derivat, 2021 This research is a development of multiplicative calculus. This study is about the Fourier multiplicative transformation and its application to the multiplicative differential equation.
Aurizan Himmi Azhar +3 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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Modified Backpropagation Algorithm with Multiplicative Calculus in Neural Networks
Elektronika ir Elektrotechnika, 2023 Backpropagation is one of the most widely used algorithms for training feedforward deep neural networks. The algorithm requires a differentiable activation function and it performs computations of the gradient proceeding backwards through the feedforward
Serkan Ozbay
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