Solving for the random component time-fractional partial differential equations with the new Sumudu transform iterative method

被引：8
|
作者：
Anac, Halil [1 ]
Merdan, Mehmet [1 ]
Kesemen, Tulay [2 ]
机构：
[1] Gumushane Univ, Dept Math Engn, TR-29100 Gumushane, Turkey
[2] Karadeniz Tech Univ, Dept Math, Trabzon, Turkey
来源：
SN APPLIED SCIENCES | 2020年 / 2卷 / 06期
关键词：
Sumudu transform; Gamma disribution; Caputo fractional derivative; Mittag-Leffler function; NUMERICAL-SOLUTIONS; MODEL; KIND;
D O I：
10.1007/s42452-020-2625-3
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：
The new Sumudu transform iterative method is implemented to get the approximate solutions of random component time-fractional partial differential equations with Caputo derivative. The parameters and the initial conditions of the random component time-fractional partial differential equations are analyzed with Gamma distribution. The expected values and variances of these solutions are calculated, and the graphs of the expected values and variances are plotted in Maple software. The results for the random component time-fractional partial differential equations with Gamma distribution are examined to investigate effects of this distribution on results. The numerical experiments indicate that this method is very effective.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Solving for the random component time-fractional partial differential equations with the new Sumudu transform iterative method
    Halil Anaç
    Mehmet Merdan
    Tülay Kesemen
    [J]. SN Applied Sciences, 2020, 2
  • [2] A NEW ITERATIVE NATURAL TRANSFORM METHOD FOR SOLVING NONLINEAR CAPUTO TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
    Khalouta, Ali
    Kadem, Abdelouahab
    [J]. JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2020, 13 (03): : 459 - 476
  • [3] THE NEW SUMUDU TRANSFORM ITERATIVE METHOD FOR STUDYING THE RANDOM COMPONENT TIME-FRACTIONAL KLEIN-GORDON EQUATION
    Merdan, Mehmet
    Anac, Halil
    Kesemen, Tulay
    [J]. SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2019, 10 (03): : 343 - 354
  • [4] AN ITERATIVE METHOD FOR SOLVING TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS WITH PROPORTIONAL DELAYS
    Mallick, B.
    Sahu, P. K.
    Routaray, M.
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2023, 13 (01): : 74 - 85
  • [5] NUMERICAL SOLUTION OF TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS USING SUMUDU DECOMPOSITION METHOD
    Al-Khaled, Kamel
    [J]. ROMANIAN JOURNAL OF PHYSICS, 2015, 60 (1-2): : 99 - 110
  • [6] Solving Special Fractional Differential Equations By Sumudu Transform
    Goswami, Pranay
    Belgacem, F. B. M.
    [J]. 9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES (ICNPAA 2012), 2012, 1493 : 111 - 115
  • [7] A new Sumudu transform iterative method for time-fractional Cauchy reaction-diffusion equation
    Wang, Kangle
    Liu, Sanyang
    [J]. SPRINGERPLUS, 2016, 5
  • [8] Solving Nonlinear Time-Fractional Partial Differential Equations Using Conformable Fractional Reduced Differential Transform with Adomian Decomposition Method
    Teppawar, R. S.
    Ingle, R. N.
    Muneshwar, R. A.
    [J]. CONTEMPORARY MATHEMATICS, 2024, 5 (01):
  • [9] SOLVING TIME-FRACTIONAL CHEMICAL ENGINEERING EQUATIONS BY GENERALIZED DIFFERENTIAL TRANSFORM METHOD
    Haghbin, Ahmad
    Jafari, Hossein
    Goswami, Pranay
    Ariyan, Vernon Morganathan
    [J]. THERMAL SCIENCE, 2020, 24 (01): : S157 - S164
  • [10] Homotopy analysis Sumudu transform method for time-fractional third order dispersive partial differential equation
    Pandey, Rishi Kumar
    Mishra, Hradyesh Kumar
    [J]. ADVANCES IN COMPUTATIONAL MATHEMATICS, 2017, 43 (02) : 365 - 383
12345