Results 11 to 20 of about 1,749 (282)

Modification of Adomian decomposition technique in multiplicative calculus and application for nonlinear equations

Partial Differential Equations in Applied Mathematics
Multiplicative 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, Alexey Mikhaylov, Gabor Pintér   +2 more
exaly   +3 more sources

On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities

Mathematics
This paper presents a novel framework for Katugampola fractional multiplicative integrals, advancing recent breakthroughs in fractional calculus through a synergistic integration of multiplicative analysis. Motivated by the growing interest in fractional
Wedad Saleh, Badreddine Meftah, Muhammad Uzair Awan, Abdelghani Lakhdari   +3 more
doaj   +2 more sources

Curves in Multiplicative Equiaffine Space

Mathematics
In this study, the geometric properties of curves in multiplicative equiaffine space are investigated using multiplicative calculus. Fundamental geometric concepts such as multiplicative arc length, multiplicative equiaffine curvature, and torsion are ...
Meltem Ogrenmis, Alper Osman Ogrenmis
doaj   +2 more sources

Chaos of the new multiplicative logistic map [PDF]

Scientific Reports
This 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
doaj   +2 more sources

The multiplicative Weyl functional calculus

Journal of Functional Analysis, 1972
The Weyl calculus discussed in the author's previous papers starts with a fixed set of n noncommuting self-adjoint operators and associates an operator to a real function of n variables.
Anderson, Robert F.V
core   +3 more sources

On the convergence of sequences in ℝ+ through weighted geometric means via multiplicative calculus and application to intuitionistic fuzzy numbers

Journal of Taibah University for Science, 2022
We define weighted geometric mean method of convergence for sequences in [Formula: see text] by using multiplicative calculus and obtain necessary and sufficient conditions under which convergence of sequences in [Formula: see text] follows from ...
Enes Yavuz
exaly   +3 more sources

Multiplicative Fractional Hermite–Hadamard-Type Inequalities in G-Calculus

Mathematics
This paper extends Hermite–Hadamard-type inequalities to the fractional multiplicative framework of G-calculus. Using multiplicative Riemann–Liouville fractional integrals, we introduce a notion of multiplicative convexity and establish fractional ...
Abdelghani Lakhdari, Wedad Saleh
doaj   +2 more sources

Some Extended Properties and Applications of Multiplicative Time Scale Calculus

Journal of Function Spaces
In 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   +2 more
exaly   +2 more sources

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, Sonia Bhalla, Ramandeep Behl   +2 more
doaj   +2 more sources

On parameterized inequalities for fractional multiplicative integrals

Demonstratio Mathematica
In this article, we present a one-parameter fractional multiplicative integral identity and use it to derive a set of inequalities for multiplicatively ss-convex mappings.
Zhu Wen Sheng, Meftah Badreddine, Xu Hongyan, Jarad Fahd, Lakhdari Abdelghani   +4 more
doaj   +2 more sources