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Entropy and alternative entropy functionals of fractional Gaussian noise as the functions of Hurst index

JOURNAL ARTICLE published June 2023 in Fractional Calculus and Applied Analysis

Research funded by Stiftelsen för Strategisk Forskning (UKR22-0017) | Norges Forskningsråd (274410,274410) | University of Sydney (Ukrainian Visitors Program)

Authors: Anatoliy Malyarenko | Yuliya Mishura | Kostiantyn Ralchenko | Sergiy Shklyar

Minimization Problems for Functionals Depending on Generalized Proportional Fractional Derivatives

JOURNAL ARTICLE published 25 June 2022 in Fractal and Fractional

Authors: Ricardo Almeida

On generalized K-functionals in $$L_p$$ for $$0<p<1$$

JOURNAL ARTICLE published June 2023 in Fractional Calculus and Applied Analysis

Research funded by Deutsche Forschungsgemeinschaft (RTG 2088)

Authors: Yurii Kolomoitsev | Tetiana Lomako

A variational theory for integral functionals involving finite-horizon fractional gradients

JOURNAL ARTICLE published October 2023 in Fractional Calculus and Applied Analysis

Research funded by Agencia Estatal de Investigación (PID2020-116207GB-I00) | Junta de Comunidades de Castilla-La Mancha (SBPLY/19/180501/000110) | European Regional Development Fund (2018/11744)

Authors: Javier Cueto | Carolin Kreisbeck | Hidde Schönberger

Monte Carlo method for fractional-order differentiation

JOURNAL ARTICLE published April 2022 in Fractional Calculus and Applied Analysis

Authors: Nikolai Leonenko | Igor Podlubny

Stability and Resonance Analysis of a General Non-Commensurate Elementary Fractional-Order System

JOURNAL ARTICLE published February 2020 in Fractional Calculus and Applied Analysis

Authors: Shuo Zhang | Lu Liu | Dingyu Xue | YangQuan Chen

A tempered subdiffusive Black–Scholes model

JOURNAL ARTICLE published 9 April 2024 in Fractional Calculus and Applied Analysis

Research funded by Narodowe Centrum Nauki (Sonata Bis 9 grant nr 2019/34/E/ST1/00360,Sonata Bis 9 grant nr 2019/34/E/ST1/00360)

Authors: Grzegorz Krzyżanowski | Marcin Magdziarz

Fractional boundary value problems

JOURNAL ARTICLE published February 2022 in Fractional Calculus and Applied Analysis

Authors: Mirko D’Ovidio

From time to times

JOURNAL ARTICLE published February 2022 in Fractional Calculus and Applied Analysis

Authors: Yuri Kondratiev

On the Generalized Fractional Laplacian

JOURNAL ARTICLE published December 2021 in Fractional Calculus and Applied Analysis

Authors: Chenkuan Li

Porous functions–II

JOURNAL ARTICLE published April 2020 in Fractional Calculus and Applied Analysis

Authors: Iryna Trymorush | Igor Podlubny

Extending the Stieltjes transform II

JOURNAL ARTICLE published December 2014 in Fractional Calculus and Applied Analysis

Authors: Dennis Nemzer

Nonclassical convolutions and their uses

JOURNAL ARTICLE published December 2014 in Fractional Calculus and Applied Analysis

Authors: Ivan H. Dimovski

α-fractionally convex functions

JOURNAL ARTICLE published April 2020 in Fractional Calculus and Applied Analysis

Authors: Neelam Singha | Chandal Nahak

Fractional Fractals

JOURNAL ARTICLE published October 2020 in Fractional Calculus and Applied Analysis

Authors: J. A. Tenreiro Machado | Daniel Cao Labora

Multi-parametric Le Roy function

JOURNAL ARTICLE published February 2023 in Fractional Calculus and Applied Analysis

Research funded by Ministry of Education of the Republic of Belarus (State Program of the Scientific Investigations “Convergence-2025”, grant 1.7.01.4)

Authors: Sergei Rogosin | Maryna Dubatovskaya

Hopf’s lemma and radial symmetry for the Logarithmic Laplacian problem

JOURNAL ARTICLE published 3 May 2024 in Fractional Calculus and Applied Analysis

Research funded by National Natural Science Foundation of China (12001344) | Natural Science Foundation of Shanxi Province (20210302123339)

Authors: Lihong Zhang | Xiaofeng Nie

On the Fractional Dunkl–Laplacian

JOURNAL ARTICLE published February 2024 in Fractional Calculus and Applied Analysis

Authors: Fethi Bouzeffour | Wissem Jedidi

On the convergence of the Galerkin method for random fractional differential equations

JOURNAL ARTICLE published 6 May 2024 in Fractional Calculus and Applied Analysis

Research funded by Agencia Estatal de Investigación (PID2020-115270GB-I00)

Authors: Marc Jornet

Multi-parametric Le Roy function revisited

JOURNAL ARTICLE published February 2024 in Fractional Calculus and Applied Analysis

Authors: Sergei Rogosin | Maryna Dubatovskaya