Results 21 to 30 of about 10,463 (309)

Operator Calculus Approach to Comparison of Elasticity Models for Modelling of Masonry Structures

open access: yesMathematics, 2022
The solution of any engineering problem starts with a modelling process aimed at formulating a mathematical model, which must describe the problem under consideration with sufficient precision. Because of heterogeneity of modern engineering applications,
Klaus Gürlebeck   +2 more
doaj   +1 more source

The Fractional Complex Step Method

open access: yesDiscrete Dynamics in Nature and Society, 2013
It is well known that the complex step method is a tool that calculates derivatives by imposing a complex step in a strict sense. We extended the method by employing the fractional calculus differential operator in this paper. The fractional calculus can
Rabha W. Ibrahim, Hamid A. Jalab
doaj   +1 more source

N-FRACTIONAL CALCULUS OPERATOR METHOD TO THE EULER EQUATION

open access: yesПроблемы анализа, 2018
We can obtain the explicit solutions of the Euler equation by using the fractional calculus methods. So, we apply the N operator method in the fractional calculus to solve this equation in this paper.
R. Yilmazer, O. Ozturk
doaj   +1 more source

The step-wise construction of solitary solutions to Riccati equations with diffusive coupling

open access: yesAIMS Mathematics, 2023
A novel scheme based on the generalized differential operator and computer algebra was used to construct solitary solutions to a system of Riccati differential equations with diffusive coupling.
Romas Marcinkevicius   +4 more
doaj   +1 more source

On Hardy–Knopp Type Inequalities with Kernels via Time Scale Calculus

open access: yesJournal of Mathematics, 2022
In this paper, we study the inequalities of Hardy–Knopp type with kernel functions which have two nonnegative different weighted functions in two different spaces, in a general domain called a time scale calculus. A time scale calculus T is considered as
H. M. Rezk   +3 more
doaj   +1 more source

Semilocal convergence of Newton-like methods under general conditions with applications in fractional calculus

open access: yesJournal of Numerical Analysis and Approximation Theory, 2015
We present a semilocal convergence study of Newton-like methods on a generalized Banach space setting to approximate a locally unique zero of an operator.
George A. Anastassiou   +1 more
doaj   +2 more sources

Restrictions for loop-check in sequent calculus for temporal logic with until operator

open access: yesLietuvos Matematikos Rinkinys, 2009
In this paper, we present sequent calculus for branching-time temporal logic with until operator. This sequent calculus uses efficient loop-checktechinque.
Adomas Birštunas
doaj   +1 more source

Sturm-Liouville problem in multiplicative fractional calculus

open access: yesAIMS Mathematics
Multiplicative calculus, or geometric calculus, is an alternative to classical calculus that relies on division and multiplication as opposed to addition and subtraction, which are the basic operations of classical calculus.
Tuba Gulsen   +3 more
doaj   +1 more source

Newton-Type Methods on Generalized Banach Spaces and Applications in Fractional Calculus

open access: yesAlgorithms, 2015
We present a semilocal convergence study of Newton-type methods on a generalized Banach space setting to approximate a locally unique zero of an operator. Earlier studies require that the operator involved is Fréchet differentiable.
George A. Anastassiou   +1 more
doaj   +1 more source

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