Results 21 to 30 of about 1,023 (265)

The Runge–Kutta method in geometric multiplicative calculus [PDF]

open access: yesLMS Journal of Computation and Mathematics, 2015
This paper illuminates the derivation, applicability, and efficiency of the multiplicative Runge–Kutta method, derived in the framework of geometric multiplicative calculus. The removal of the restrictions of geometric multiplicative calculus on positive-valued functions of real variables and the fact that the multiplicative derivative does not exist ...
Rıza, Mustafa, Aktöre, Hatice
openaire   +4 more sources

A Real-Valued Modal Logic [PDF]

open access: yesLogical Methods in Computer Science, 2018
A many-valued modal logic is introduced that combines the usual Kripke frame semantics of the modal logic K with connectives interpreted locally at worlds by lattice and group operations over the real numbers.
Denisa Diaconescu   +2 more
doaj   +1 more source

Complex Multiplicative Calculus

open access: yes, 2011
In the present paper we extend the concepts of multiplicative de- rivative and integral to complex-valued functions of complex variable. Some drawbacks, arising with these concepts in the real case, are explained satis- factorily. Properties of complex multiplicative derivatives and integrals are studied.
Bashirov, Agamirza, Riza, Mustafa
openaire   +2 more sources

Multiplicative Laplace transform in q−calculus

open access: yesFilomat, 2023
In this study, we introduce q*-(or q-multiplicative) Laplace transform by means of q*-integral. Some properties of q*-Laplace transform are presented. Also, q*-Laplace transform can be utilized for solving q*-linear differential equations.
Mehmet Yilmazer   +3 more
openaire   +1 more source

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

open access: yesPartial 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 Shah   +3 more
doaj   +1 more source

On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities

open access: yesMathematics
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   +3 more
doaj   +1 more source

On a Non-Newtonian Calculus of Variations

open access: yesAxioms, 2021
The calculus of variations is a field of mathematical analysis born in 1687 with Newton’s problem of minimal resistance, which is concerned with the maxima or minima of integral functionals.
Delfim F. M. Torres
doaj   +1 more source

Density of imaginary multiplicative chaos via Malliavin calculus

open access: yesProbability Theory and Related Fields, 2022
AbstractWe consider the imaginary Gaussian multiplicative chaos, i.e. the complex Wick exponential $$\mu _\beta := :e^{i\beta \Gamma (x)}:$$ μ β : = :
Aru, Juhan   +2 more
openaire   +4 more sources

Some Simpson- and Ostrowski-Type Integral Inequalities for Generalized Convex Functions in Multiplicative Calculus with Their Computational Analysis

open access: yesMathematics
Integral 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.
Xinlin Zhan   +3 more
doaj   +1 more source

Lambda-Calculus, Multiplicities and the pi-Calculus

open access: yes, 1995
In this paper we study the semantics of the $\lambda$-calculus induced by Milner's encoding into the $\pi$-calculus. We show that the resulting may testing preorder on $\lambda$-terms coincides with the inclusion of Lévy-Longo trees. To establish this result, we use a refinement of the $\lambda$-calculus where the argument of a function may be of ...
Boudol, Gérard, Laneve, Cosimo
openaire   +2 more sources

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