Alternative fractional derivative operator on non-newtonian calculus and its approaches

被引：0

作者：

Momenzadeh, Mohammad ^{[1
]}

Norozpour, Sajedeh ^{[2
]}

机构：

[1] Near East Univ, Dept Math, Via Mersin 10, Trnc, Turkey

[2] Istanbul Gelisim Univ, Dept Civil Engn, Istanbul, Turkey

来源：

NEXO REVISTA CIENTIFICA | 2021年 / 34卷 / 02期

关键词：

Non-Newtonian calculi; bi-geometric calculus; Hadamard fractional integral and derivative operators;

D O I：

暂无

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Nowadays, study on fractional derivative and integral operators is one of the hot topics of mathematics and lots of investigations and studies make their attentions in this field. Most of these concerns raised from the vast application of these operators in study of phenomena's models. These operators interpreted by Newtonian calculus, however different types of calculi are existed and we introduce the fractional derivative operators focused on Bi-geometric calculus and also their fractional differential equations are studied.

引用

页码：906 / 915

页数：10

共 13 条

[1] Alotta G., 2019, J Peridyn Nonlocal Model, V1, P88, DOI [10.1007/s42102-019-00007-9, DOI 10.1007/S42102-019-00007-9]
[2] KELVIN-VOIGT VS FRACTIONAL DERIVATIVE MODEL AS CONSTITUTIVE RELATIONS FOR VISCOELASTIC MATERIALS
ELDRED, LB
BAKER, WP
PALAZOTTO, AN
[J]. AIAA JOURNAL, 1995, 33 (03) : 547 - 550
[3] Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer
Ezzat, Magdy A.
[J]. PHYSICA B-CONDENSED MATTER, 2010, 405 (19) : 4188 - 4194
[4] ANALYTICAL RESULTS ON THE UNSTEADY ROTATIONAL FLOW OF FRACTIONAL-ORDER NON-NEWTONIAN FLUIDS WITH SHEAR STRESS ON THE BOUNDARY
Ghalib, Muhammad Mansha
Zafar, Azhar Ali
Hammouch, Zakia
Riaz, Muhammad Bilal
Shabbir, Khurram
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2020, 13 (03): : 683 - 693
[5] Hristov J., 2017, PROGR FRACT DIFFER A, V3, P255, DOI DOI 10.18576/pfda/030402
[6] Kadak U., 2015, ABSTR APPL ANAL, V2015
[7] Some applications of extended calculus to non-Newtonian flow in pipes
Letelier, M.
Stockle, J.
[J]. JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2021, 43 (02)
[8] On the Alternative Approach to Ψ-fractional Calculus
Momenzadeh, Mohammad
[J]. INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2020), 2021, 2325
[9] Odibat Zaid M., 2008, Journal of Applied Mathematics and Informatics, V26, P15
[10] Linking the fractional derivative and the Lomnitz creep law to non-Newtonian time-varying viscosity
Pandey, Vikash
Holm, Sverre
[J]. PHYSICAL REVIEW E, 2016, 94 (03)

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