Solutions with Wright Function for Time Fractional Free Convection Flow of Casson Fluid

被引：46

作者：

Ali, Farhad ^{[1
]}

Sheikh, Nadeem Ahmad ^{[1
]}

Khan, Ilyas ^{[2
]}

Saqib, Muhammad ^{[1
]}

机构：

[1] City Univ Sci & Informat Technol, Dept Math, Peshawar, Pakistan

[2] Majmaah Univ, Coll Engn, Basic Engn Sci Dept, Majmaah, Saudi Arabia

来源：

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2017年 / 42卷 / 06期

关键词：

Caputo fractional derivative; Casson fluid; Heat transfer; Special functions; PARTIAL-DIFFERENTIAL-EQUATIONS; HOMOTOPY PERTURBATION METHOD; ORDER; APPROXIMATE;

D O I：

10.1007/s13369-017-2521-3

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：

A fractional model of Casson fluid coupled with energy equation is developed. Casson fluid in the presence of heat transfer is considered over an oscillating vertical plate with constant wall temperature. Definition of fractional Caputo derivative is used in the mathematical formulation of the problem. Exact solutions via Laplace transform are obtained and presented in terms of Wright function. Parametric studies were undertaken, and the obtained solutions are illustrated through plots for various physical parameters.

引用

页码：2565 / 2572

页数：8

共 38 条

[1]

[Anonymous], 2014, FRACTALS FRACTIONAL

[2]

[Anonymous], 1974, The fractional calculus theory and applications of differentiation and integration to arbitrary order, DOI DOI 10.1016/S0076-5392(09)60219-8

[3]

[Anonymous], 1949, J LONDON MATH SOC

[4]

[Anonymous], 1959, RHEOLOGY DISPERSE SY

[5]

AXTELL M, 1990, PROC NAECON IEEE NAT, P563, DOI 10.1109/NAECON.1990.112826

[6] A THEORETICAL BASIS FOR THE APPLICATION OF FRACTIONAL CALCULUS TO VISCOELASTICITY [J].

BAGLEY, RL ;

TORVIK, PJ .

JOURNAL OF RHEOLOGY, 1983, 27 (03) :201-210

[7]

Churchill RV., 1971, Operational Mathematics

[8] Solving a multi-order fractional differential equation using adomian decomposition [J].

Daftardar-Gejji, Varsha ;

Jafari, Hossein .

APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (01) :541-548

[9]

Das S., 2008, Functional Fractional Calculus for System Identification and Controls

[10] Casson fluid flow in a pipe filled with a homogeneous porous medium [J].

Dash, RK ;

Mehta, KN ;

Jayaraman, G .

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1996, 34 (10) :1145-1156

← 1 2 3 4 →