On modeling with multiplicative differential equations

AE Bashirov, E Mısırlı, Y Tandoğdu… - Applied Mathematics-A …, 2011 - Springer
This work is aimed to show that various problems from different fields can be modeled more
efficiently using multiplicative calculus, in place of Newtonian calculus. Since multiplicative …

Multiplicatively Simpson type inequalities via fractional integral

A Moumen, H Boulares, B Meftah, R Shafqat, T Alraqad… - Symmetry, 2023 - mdpi.com
Multiplicative calculus, also called non-Newtonian calculus, represents an alternative
approach to the usual calculus of Newton (1643–1727) and Leibniz (1646–1716). This type …

On complex multiplicative differentiation

AE Bashirov, M Riza - TWMS Journal of applied and engineering …, 2011 - dergipark.org.tr
In the present paper we discuss multiplicative differentiation for complexvalued functions.
Some drawbacks, arising with this concept in the real case, are explained satisfactorily …

Multiplicative adams bashforth–moulton methods

E Misirli, Y Gurefe - Numerical Algorithms, 2011 - Springer
The multiplicative version of Adams Bashforth–Moulton algorithms for the numerical solution
of multiplicative differential equations is proposed. Truncation error estimation for these …

[PDF][PDF] Solutions of multiplicative linear differential equations via the multiplicative power series method

N Yalcın, M Dedeturk - Sigma, 2023 - researchgate.net
In this study, fundamental concepts of multiplicative analysis is given. Also, definitions of
multiplicative Taylor series (MTS), multiplicative Taylor polynomials (MTP), and multiplicative …

The solutions of multiplicative Hermite differential equation and multiplicative Hermite polynomials

N Yalçın - Rendiconti del Circolo Matematico di Palermo Series 2, 2021 - Springer
In this work, we give the power series solutions around an ordinary point, in the case of
variable coefficients, homogeneous multiplicative differential equations of 2nd order …

[PDF][PDF] Solutions of multiplicative ordinary differential equations via the multiplicative differential transform method

N Yalçın, M Dedeturk - Aims Mathematics, 2021 - researchgate.net
Solutions of multiplicative ordinary differential equations via the multiplicative differential
transform method Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 6(4) …

Finite product representation via multiplicative calculus and its applications to exponential signal processing

A Ozyapici, B Bilgehan - Numerical Algorithms, 2016 - Springer
In this paper, the multiplicative least square method is introduced and is applied to integrals
for the finite product representation of the positive functions. Hence, many nonlinear …

On a non-Newtonian calculus of variations

DFM Torres - Axioms, 2021 - mdpi.com
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 …

A non-Newtonian gradient for contour detection in images with multiplicative noise

M Mora, F Córdova-Lepe, R Del-Valle - Pattern recognition letters, 2012 - Elsevier
In this paper, a new operator for contour detection in images with multiplicative noise is
presented. Traditional methods of edge detection, as those based in gradient operator or …