Results 1 to 10 of about 73,704 (233)

Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients I [PDF]

Surveys in Mathematics and its Applications, 2010
For certain univalent function f, we study a class of functions f as defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator, satisfying Re { (zJ1λ, μ f(z))')/((1 -γ) J1λ, μ f(z) + γ z2(J1λ, μ f ...
Waggas Galib Atshan, S. R. Kulkarni
doaj   +2 more sources

An efficient discrete Chebyshev polynomials strategy for tempered time fractional nonlinear Schrödinger problems [PDF]

Journal of Advanced Research
Introduction: An interesting type of fractional derivatives that has received widespread attention in recent years is the tempered fractional derivatives. These fractional derivatives are a generalization of the well-known fractional derivatives, such as
Mohammad Hossein Heydari, Dumitru Baleanu   +1 more
doaj   +2 more sources

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, Dimitrios Karaoulanis   +1 more
doaj   +1 more source

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, Anastasios K. Lazopoulos   +1 more
doaj   +1 more source

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

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, Dimitrios Karaoulanis   +1 more
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, Dimitrios Karaoulanis, Kostantinos A. 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, A. K. Lazopoulos, N. Lazopoulou, K. Lazopoulos   +3 more
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

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