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Some trapezoid and midpoint type inequalities via fractional ( p , q ) $(p,q)$ -calculus

open access: yesAdvances in Difference Equations, 2021
Fractional calculus is the field of mathematical analysis that investigates and applies integrals and derivatives of arbitrary order. Fractional q-calculus has been investigated and applied in a variety of research subjects including the fractional q ...
Pheak Neang   +4 more
doaj   +1 more source

Foundations of generalized Prabhakar-Hilfer fractional calculus with applications

open access: yesCubo, 2021
Here we introduce the generalized Prabhakar fractional calculus and we also combine it with the generalized Hilfer calculus. We prove that the generalized left and right side Prabhakar fractional integrals preserve continuity and we find tight upper ...
George A. Anastassiou
doaj   +1 more source

Motion Control of Autonomous Underwater Vehicle Based on Fractional Calculus Active Disturbance Rejection

open access: yesJournal of Marine Science and Engineering, 2021
An active disturbance rejection control based on fractional calculus is proposed to improve the motion performance and robustness of autonomous underwater vehicle (AUV).
Junhe Wan   +6 more
doaj   +1 more source

FRACTAL RADIOPHYSICS. Part 3. FRACTIONAL CALCULUS IN ELECTRODYNAMICS [PDF]

open access: yesRadio Physics and Radio Astronomy
Subject and Purpose. At the beginning of the 21st century, a fundamentally new scientific direction was formed, currently known as fractal radiophysics.
O. V. Lazorenko, L. F. Chernogor
doaj   +1 more source

Research on Rock Creep Characteristics Based on the Fractional Calculus Meshless Method

open access: yesAdvances in Civil Engineering, 2018
The application of fractional calculus in the rheological problems has been widely accepted. In this study, the constitutive relationship of the generalized Kelvin model based on fractional calculus was studied, and the meshless method was introduced so ...
Gang Peng, Zhanqing Chen, Jiarui Chen
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

Fractional Calculus and Special Functions with Applications [PDF]

open access: yes, 2022
The study of fractional integrals and fractional derivatives has a long history, and they have many real-world applications because of their properties of interpolation between integer-order operators.

core   +1 more source

Fractional Calculus in Mexico: The 5th Mexican Workshop on Fractional Calculus (MWFC)

open access: yesComputer Sciences & Mathematics Forum, 2023
The Mexican Workshop on Fractional Calculus (MWFC) is a bi-annual international workshop and the largest Latin American technical event in the field of fractional calculus in Mexico [...]
Jorge M. Cruz-Duarte   +1 more
doaj   +1 more source

Fractional Order Sequential Minimal Optimization Classification Method

open access: yesFractal and Fractional, 2023
Sequential minimal optimization (SMO) method is an algorithm for solving optimization problems arising from the training process of support vector machines (SVM).
Chunna Zhao, Licai Dai, Yaqun Huang
doaj   +1 more source

Fractional Calculus and Shannon Wavelet [PDF]

open access: yesMathematical Problems in Engineering, 2012
An explicit analytical formula for the any order fractional derivative of Shannon wavelet is given as wavelet series based on connection coefficients. So that for any L2(ℝ) function, reconstructed by Shannon wavelets, we can easily define its fractional derivative.
openaire   +3 more sources

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