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1

Algorithms for the fractional calculus: A selection of numerical methods

K. Diethelm, N.J. Ford, A.D. Freed, Yu. Luchko

Journal:

Computer Methods in Applied Mechanics and Engineering

Year:

2005

Language:

english

File:

PDF, 1.79 MB

english, 2005

2

Operational calculus for the Caputo-type fractional Erdélyi–Kober derivative and its applications

Hanna, L.A-M., Luchko, Yu.F.

Journal:

Integral Transforms and Special Functions

Year:

2014

Language:

english

File:

PDF, 201 KB

english, 2014

3

AIP Conference Proceedings [AIP APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: Proceedings of the 2nd International Conference - Sozopol, (Bulgaria) (21–26 June 2010)] - The Multi-index Mittag-Leffler Functions and Their Applications for Solving Fractional Order Problems in Applied Analysis

Kiryakova, V. S., Luchko, Yu. F., Todorov, Michail D., Christov, Christo I.

Year:

2010

Language:

english

File:

PDF, 871 KB

english, 2010

4

The exact solution of certain differential equations of fractional order by using operational calculus

Yu.F. Luchko, H.M. Srivastava

Journal:

Computers & Mathematics with Applications

Year:

1995

Language:

english

File:

PDF, 573 KB

english, 1995

5

Fractional Fourier transform in the framework of fractional calculus operators

Kilbas, A. A., Luchko, Yu. F., Martínez, H., Trujillo, J. J.

Journal:

Integral Transforms and Special Functions

Year:

2010

Language:

english

File:

PDF, 146 KB

english, 2010

6

Comments on employing the Riesz-Feller derivative in the Schrödinger equation

Al-Saqabi, B., Boyadjiev, L., Luchko, Yu.

Journal:

The European Physical Journal Special Topics

Year:

2013

Language:

english

File:

PDF, 246 KB

english, 2013

7

AIP Conference Proceedings [AIP APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: Proceedings of the 2nd International Conference - Sozopol, (Bulgaria) (21–26 June 2010)] - The Wright Function: Its Properties, Applications, and Numerical Evaluation

Lipnevich, V., Luchko, Yu., Todorov, Michail D., Christov, Christo I.

Year:

2010

Language:

english

File:

PDF, 349 KB

english, 2010

8

Variation in the physical and mechanical properties of rocks: The North Paramushir hydrothermal magmatic system, Kuril Islands

Frolova, Yu. V., Rychagov, S. N., Ladygin, V. M., Luchko, M. V., Chernov, M. S., Boikova, I. A.

Journal:

Journal of Volcanology and Seismology

Year:

2016

Language:

english

File:

PDF, 11.46 MB

english, 2016

9

A convolution family in the Dimovski sense for the composed Erdélyi-Kober fractional integrals

Al-Kandari, M., Hanna, L. A.-M., Luchko, Yu. F.

Journal:

Integral Transforms and Special Functions

Year:

2019

File:

PDF, 1.43 MB

2019

10

Study of the simplest statistical characteristics of a turbulent flow temperature distribution

B. A. Kolovandin, A. A. Bulavko, Yu. M. Dmitrenko, N. N. Luchko

Journal:

Journal of Engineering Physics and Thermophysics

Year:

1976

Language:

english

File:

PDF, 464 KB

english, 1976

11

Analysis of model relations for turbulent heat diffusion as applied to the calculation of wake flows

Yu. M. Dmitrenko, V. L. Zhdanov, N. N. Luchko, P. Ya. Cherepanov

Journal:

Journal of Engineering Physics and Thermophysics

Year:

1986

Language:

english

File:

PDF, 416 KB

english, 1986

12

Experimental verification of models of triple mixed correlation between velocity and temperature as applied to the calculation of jet flows

Yu. M. Dmitrenko, V. L. Zhdanov, N. N. Luchko, P. Ya. Cherepanov

Journal:

Journal of Engineering Physics and Thermophysics

Year:

1987

Language:

english

File:

PDF, 479 KB

english, 1987

13

Plane turbulent wake with zero excess momentum

Yu. M. Dmitrenko, I. I. Kovalev, N. N. Luchko, P. Ya. Cherepanov

Journal:

Journal of Engineering Physics and Thermophysics

Year:

1987

Language:

english

File:

PDF, 607 KB

english, 1987

14

Preparation of esters of acetopropyl alcohol and their conversion to methyl cyclopropyl ketone

O. M. Nefedov, V. M. Shostakovskii, I. E. Dolgii, I. K. Anikeev, V. N. Pavlychev, Yu. M. Luchko

Journal:

Russian Chemical Bulletin

Year:

1978

Language:

english

File:

PDF, 295 KB

english, 1978

15

The convolution method for the development of new leibniz rules involving fractional derivatives and of their integral analogues

Srivastava, H.M., Yakubovich, S.B., Luchko, Yu.F.

Journal:

Integral Transforms and Special Functions

Year:

1993

Language:

english

File:

PDF, 416 KB

english, 1993

16

AIP Conference Proceedings [AIP APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES: Proceedings of the 2nd International Conference - Sozopol, (Bulgaria) (21–26 June 2010)] - Fractional Calculus Models for the Anomalous Diffusion Processes and Their Analysis

Luchko, Yu., Todorov, Michail D., Christov, Christo I.

Year:

2010

Language:

english

File:

PDF, 207 KB

english, 2010

17

[ACM Press the 1991 international symposium - Bonn, West Germany (1991.07.15-1991.07.17)] Proceedings of the 1991 international symposium on Symbolic and algebraic computation - ISSAC '91 - The evaluation of integrals and series with respect to indices (parameters) of hypergeometric functions

Yakubovich, S. B., Luchko, Yu. F.

Year:

1991

Language:

english

File:

PDF, 456 KB

english, 1991

18

Late results of treatment of flexor tendon injuries in the hand and fingers

Dokish, M Yu, Kedrova, A N, Luchko, G D

Journal:

The Journal of Trauma Injury Infection and Critical Care

Year:

1973

File:

PDF, 144 KB

1973

19

A New Fractional Calculus Model for the Two-dimensional Anomalous Diffusion and its Analysis

Luchko, Yu., Nepomnyashchy, A., Volpert, V.

Journal:

Mathematical Modelling of Natural Phenomena

Year:

2016

Language:

english

File:

PDF, 718 KB

english, 2016

20

The neutral-fractional telegraph equation

Boyadjiev, L., Luchko, Yu.

Journal:

Mathematical Modelling of Natural Phenomena

Year:

2017

Language:

english

File:

PDF, 444 KB

english, 2017

21

ChemInform Abstract: PREPARATION OF ACETOPROPYL ALCOHOL ESTERS AND THEIR CONVERSION TO METHYL CYCLOPROPYL KETONE

NEFEDOV, O. M., SHOSTAKOVSKII, V. M., DOLGII, I. E., ANIKEEV, I. K., PAVLYCHEK, V. N., LUCHKO, YU. M.

Journal:

Chemischer Informationsdienst

Year:

1978

File:

PDF, 205 KB

1978

22

Asymptotics of Zeros of the Wright Function

Journal:

Zeitschrift für Analysis und ihre Anwendungen

Year:

2000

Language:

english

File:

PDF, 242 KB

english, 2000

23

Subordination principles for the multi-dimensional space-time-fractional diffusion-wave equation

Journal:

Theory of Probability and Mathematical Statistics

Year:

2019

Language:

english

File:

PDF, 327 KB

english, 2019

24

On an extension of the MikusiÅski type operational calculus for the Caputo fractional derivative

Al-Kandari, M., Hanna, L. A-M., Luchko, Yu.

Journal:

Integral Transforms and Special Functions

Year:

2020

File:

PDF, 1.42 MB

2020

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