Results 1 to 10 of about 674,066 (256)
On Λ-Fractional Viscoelastic Models
Axioms, 2021 Λ-Fractional Derivative (Λ-FD) is a new groundbreaking Fractional Derivative (FD) introduced recently in mechanics. This derivative, along with Λ-Transform (Λ-T), provides a reliable alternative to fractional differential equations’ current solving.
Anastassios K. Lazopoulos +1 more
doaj +2 more sources
On Fractional Geometry of Curves
Fractal and Fractional, 2021 Fractional Differential Geometry of curves is discussed, with the help of a new fractional derivative, the Λ-fractional derivative, with the corresponding Λ-fractional space.
Konstantinos A. Lazopoulos +1 more
doaj +2 more sources
Fractional Derivatives and Projectile Motion
Axioms, 2021 Projectile motion is studied using fractional calculus. Specifically, a newly defined fractional derivative (the Leibniz L-derivative) and its successor (Λ-fractional derivative) are used to describe the motion of the projectile.
Anastasios K. Lazopoulos +1 more
doaj +2 more sources
On Λ-Fractional Analysis and Mechanics
Axioms, 2022 Λ-Fractional analysis was introduced to fill up the mathematical gap exhibited in fractional calculus, where the various fractional derivatives fail to fulfill the prerequisites demanded by differential topology.
Konstantinos A. Lazopoulos
doaj +2 more sources
Study Boundary Problem with Integral condition for Fractional Differential Equations [PDF]
مجلة التربية والعلم, 2020 In last many years ago there was a great interest in studying the existence of positive solutions for fractional differential equations. Many authors have considered the existence of positive solutions of non-linear differential equations of non-integer ...
Nawal Abdulkader, Nadia Adnan
doaj +1 more source
The Λ-Fractional Hydrocephalus Model
Axioms, 2022 Infant hydrocephalus is a clinically abnormal clinical state with an accumulation of fluid in cavities (ventricles) deep within the brain. Hence, pressure is increased inside the skull.
Anastasios K. Lazopoulos +2 more
doaj +1 more source
On Λ-Fractional Derivative and Human Neural Network
Axioms, 2023 Fractional derivatives can express anomalous diffusion in brain tissue. Various brain diseases such as Alzheimer’s disease, multiple sclerosis, and Parkinson’s disease are attributed to the accumulation of proteins in axons.
D. Karaoulanis +3 more
doaj +1 more source
Stability Criteria and Λ-Fractional Mechanics
Fractal and Fractional, 2023 Global stability criteria for Λ-fractional Mechanics are established. The fractional extension of a bar under axial loading is discussed. Globally minimizing the total energy function, non-smooth deformations are introduced.
Konstantinos A. Lazopoulos
doaj +1 more source
Fractional order PI λD µA controller design based on Bode’s ideal function [PDF]
Archives of Control Sciences, 2023 The fractional order proportional, integral, derivative and acceleration (PI λD µA) controller is an extension of the classical PIDA controller with real rather than integer integration action order λ and differentiation action order µ.
Khalfa Bettou, Abdelfatah Charef
doaj +1 more source
On Λ-fractional visco-elastic beam
Forces in Mechanics, 2022 Zener's viscoelastic model is studied with the help of the non-local accurate Λ-fractional mathematical analysis. The model has been applied to the general Λ-fractional visco-elastic beam bending.
K.A. Lazopoulos +2 more
doaj +1 more source