SOLVING FUZZY INITIAL VALUE PROBLEM WITH DIRAC DELTA FUNCTION USING FUZZY LAPLACE TRANSFORMS

被引：0
作者：
Ceylan, Tahir [1 ]
机构：
[1] Sinop Univ, Fac Arts & Sci, Dept Math, Sinop, Turkiye
来源：
JOURNAL OF SCIENCE AND ARTS | 2024年 / 02期
关键词：
fuzzy initial value problem; fuzzy Laplace transform; Dirac delta function; COEFFICIENT;
D O I：
10.46939/J.Sci.Arts-24.2-a07
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 solutions of second-order fuzzy initial value problem using the fuzzy Laplace transforms with Dirac delta function under the generalized differentiabilitiy. The related theorems and properties are given in detail and the method is illustrated by solving some examples.
引用
收藏
页码：329 / 340
页数：12
相关论文
共 19 条
  • [1] Fuzzy Laplace transforms
    Allahviranloo, Tofigh
    Ahmadi, M. Barkhordari
    [J]. SOFT COMPUTING, 2010, 14 (03) : 235 - 243
  • [2] Generalizations of the differentiability of fuzzy-number-valued functions with applications to fuzzy differential equations
    Bede, B
    Gal, SG
    [J]. FUZZY SETS AND SYSTEMS, 2005, 151 (03) : 581 - 599
  • [3] First order linear fuzzy differential equations under generalized differentiability
    Bede, Barnabas
    Rudas, Imre J.
    Bencsik, Attila L.
    [J]. INFORMATION SCIENCES, 2007, 177 (07) : 1648 - 1662
  • [4] Generalized differentiability of fuzzy-valued functions
    Bede, Barnabas
    Stefanini, Luciano
    [J]. FUZZY SETS AND SYSTEMS, 2013, 230 : 119 - 141
  • [5] Bracewell R., 2000, Heaviside's Unit Step Function, The Fourier Transform and Its Applications, V3
  • [6] Fuzzy initial value problem for Nth-order linear differential equations
    Buckley, JJ
    Feuring, T
    [J]. FUZZY SETS AND SYSTEMS, 2001, 121 (02) : 247 - 255
  • [7] Citil H.G., 2020, Series: Mathematics and Informatics, V35, P201
  • [8] SOLUTIONS OF FUZZY DIFFERENTIAL EQUATION WITH FUZZY NUMBER COEFFICIENT BY FUZZY LAPLACE TRANSFORM
    Citil, Hulya Gultekin
    [J]. COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES, 2020, 73 (09): : 1191 - 1200
  • [9] Diamond P., 1994, METRIC SPACES FUZZY
  • [10] Dirac P.A.M., 1958, The principles of quantum mechanics
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