Evaluation of one dimensional fuzzy fractional partial differential equations

被引:112
作者
Shah, Kamal [1 ]
Seadawy, Aly R. [2 ]
Arfan, Muhammad [1 ]
机构
[1] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan
[2] Taibah Univ, Dept Math & Stat, Al Madina, Al Munawarah, Saudi Arabia
关键词
One dimensional fuzzy fractional partial differential equation; Series solution; Laplace transform method; APPROXIMATE SOLUTION; HEAT-EQUATION; ALGORITHM; WAVES; ORDER;
D O I
10.1016/j.aej.2020.05.003
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This manuscript is related to investigate analytical solutions to some linear fractional partial fuzzy differential equations under certain conditions. For the concerned investigation, we utilize Laplace transform along with some decomposition method to compute series type solution under fuzzy concept. Some examples are solved to demonstrate the proposed method. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
引用
收藏
页码:3347 / 3353
页数:7
相关论文
共 44 条
[1]   Mathematical methods and solitary wave solutions of three-dimensional Zakharov-Kuznetsov-Burgers equation in dusty plasma and its applications [J].
Abdullah ;
Seadawy, Aly R. ;
Jun, Wang .
RESULTS IN PHYSICS, 2017, 7 :4269-4277
[2]   Fuzzy Fractional-Order PID Controller for Fractional Model of Pneumatic Pressure System [J].
Al-Dhaifallah, M. ;
Kanagaraj, N. ;
Nisar, K. S. .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
[3]   Computational methods and traveling wave solutions for the fourth-order nonlinear Ablowitz-Kaup-Newell-Segur water wave dynamical equation via two methods and its applications [J].
Ali, Asghar ;
Seadawy, Aly R. ;
Lu, Dianchen .
OPEN PHYSICS, 2018, 16 (01) :219-226
[4]  
[Anonymous], 1993, An Introduction to the Fractional Calculus and Fractional Differential Equations
[5]   Fractional modified Kawahara equation with Mittag-Leffler law [J].
Bhatter, Sanjay ;
Mathur, Amit ;
Kumar, Devendra ;
Nisar, Kottakkaran Sooppy ;
Singh, Jagdev .
CHAOS SOLITONS & FRACTALS, 2020, 131
[6]   A new analysis of fractional Drinfeld-Sokolov-Wilson model with exponential memory [J].
Bhatter, Sanjay ;
Mathur, Amit ;
Kumar, Devendra ;
Singh, Jagdev .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 537
[7]   FUZZY MAPPING AND CONTROL [J].
CHANG, SSL ;
ZADEH, LA .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1972, SMC2 (01) :30-&
[8]   TOWARDS FUZZY DIFFERENTIAL-CALCULUS .1. INTEGRATION OF FUZZY MAPPINGS [J].
DUBOIS, D ;
PRADE, H .
FUZZY SETS AND SYSTEMS, 1982, 8 (01) :1-17
[9]   Recent Advances in the Application of Differential Equations in Mechanical Engineering Problems [J].
Ellahi, Rahmat ;
Fetecau, Constantin ;
Sheikholeslami, Mohsen .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
[10]   A note on solutions of wave, Laplace's and heat equations with convolution terms by using a double Laplace transform [J].
Eltayeb, Hassan ;
Kilicman, Adem .
APPLIED MATHEMATICS LETTERS, 2008, 21 (12) :1324-1329