TRANSPORT EQUATIONS IN FRACTAL POROUS MEDIA WITHIN FRACTIONAL COMPLEX TRANSFORM METHOD

被引：0
|
作者：
Yang, Xiao-Jun [1 ]
Baleanu, Dumitru [2 ,3 ,4 ]
He, Ji-Huan [5 ]
机构：
[1] China Univ Min & Technol, Sch Mech & Civil Engn, Xuzhou 221008, Peoples R China
[2] King Abdulaziz Univ, Fac Engn, Dept Chem & Mat Engn, Jeddah 21589, Saudi Arabia
[3] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[4] Inst Space Sci, Magurele, Romania
[5] Soochow Univ, Coll Text & Clothing Engn, Natl Engn Lab Modern Silk, Suzhou 215123, Peoples R China
来源：
PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE | 2013年 / 14卷 / 04期
关键词：
fractional complex transform method; transport equations; local fractional derivatives; DIFFUSION-EQUATIONS; HEAT-CONDUCTION; RANDOM-WALKS; SYSTEMS;
D O I：
暂无
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper we investigate the transport equations in fractal porous media by using the fractional complex transform method. The local fractional linear and nonlinear transport equations with local fractional time and space fractional derivatives are obtained. The proposed models adequately describe the fractal transport processes.
引用
收藏
页码：287 / 292
页数：6
相关论文
共 50 条
  • [1] Approximate Solutions for Local Fractional Linear Transport Equations Arising in Fractal Porous Media
    Li, Meng
    Hui, Xiao-Feng
    Cattani, Carlo
    Yang, Xiao-Jun
    Zhao, Yang
    ADVANCES IN MATHEMATICAL PHYSICS, 2014, 2014
  • [2] NEW SOLUTIONS OF THE TRANSPORT EQUATIONS IN POROUS MEDIA WITHIN LOCAL FRACTIONAL DERIVATIVE
    Zhang, Yu
    Baleanu, Dumitru
    Yang, Xiao-Jun
    PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2016, 17 (03): : 230 - 236
  • [3] Fractional Reduced Differential Transform Method for the Water Transport in Unsaturated Porous Media
    Hardik S. Patel
    Priti V. Tandel
    International Journal of Applied and Computational Mathematics, 2021, 7 (1)
  • [4] An efficient computational method for local fractional transport equation occurring in fractal porous media
    Singh, Jagdev
    Kumar, Devendra
    Kumar, Sunil
    COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 39 (03):
  • [5] An efficient computational method for local fractional transport equation occurring in fractal porous media
    Jagdev Singh
    Devendra Kumar
    Sunil Kumar
    Computational and Applied Mathematics, 2020, 39
  • [6] Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator
    Wei-Hua Su
    Xiao-Jun Yang
    H Jafari
    Dumitru Baleanu
    Advances in Difference Equations, 2013
  • [7] Fractional complex transform method for wave equations on Cantor sets within local fractional differential operator
    Su, Wei-Hua
    Yang, Xiao-Jun
    Jafari, H.
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2013,
  • [8] Use of the generalized integral transform method for solving equations of solute transport in porous media
    Liu, CX
    Szecsody, JE
    Zachara, JM
    Ball, WP
    ADVANCES IN WATER RESOURCES, 2000, 23 (05) : 483 - 492
  • [9] Modeling anomalous transport in fractal porous media: A study of fractional diffusion PDEs using numerical method
    Ahmad, Imtiaz
    Mekawy, Ibrahim
    Khan, Muhammad Nawaz
    Jan, Rashid
    Boulaaras, Salah
    NONLINEAR ENGINEERING - MODELING AND APPLICATION, 2024, 13 (01):
  • [10] Fractional hydrodynamic equations for fractal media
    Tarasov, VE
    ANNALS OF PHYSICS, 2005, 318 (02) : 286 - 307
12345