scholarly journals SOLVING THE FUZZY INITIAL VALUE PROBLEM WITH NEGATIVE COEFFICIENT BY USING FUZZY LAPLACE TRANSFORM

2020 ◽  
Vol 35 (1) ◽  
pp. 201
Author(s):  
Hülya Gültekin Çitil
Keyword(s):  
Laplace Transform ◽  
Initial Value Problem ◽  
Negative Coefficient ◽  
Initial Value ◽  
Generalized Differentiability ◽  
Comparison Results ◽  
Fuzzy Laplace Transform

In this paper, the fuzzy initial value problem with negative coefficient is solved by using fuzzy Laplace transform and generalized differentiability. The solutions are found and the comparison results are given.

scholarly journals Soution of fuzzy initial value problems by fuzzy Laplace transform

10.29007/pnq2 ◽  
2018 ◽  
Author(s):  
Komal Patel ◽  
Narendrasinh Desai
Keyword(s):  
Laplace Transform ◽  
Initial Value Problem ◽  
Level Sets ◽  
Initial Value Problems ◽  
Initial Value ◽  
Generalized Differentiability ◽  
Strongly Generalized Differentiability ◽  
Fuzzy Laplace Transform ◽  
Mathematica Software

In this paper we propose a fuzzy Laplace transform to solve fuzzy initial value problem under strongly generalized differentiability concept. The fuzzy Laplace transform of derivative was used to solve Nth-order fuzzy initial value problem. To illustrate applicability of proposed method we plot graphs for different values of r -level sets by using Mathematica Software.

Solving interactive fuzzy initial value problem via fuzzy Laplace transform

2021 ◽  
Vol 40 (1) ◽  
Author(s):  
Silvio Antonio Bueno Salgado ◽  
Estevão Esmi ◽  
Daniel Eduardo Sánchez ◽  
Laécio Carvalho de Barros
Keyword(s):  
Laplace Transform ◽  
Initial Value Problem ◽  
Initial Value ◽  
Fuzzy Laplace Transform

scholarly journals On Inner Expansions for a Singularly Perturbed Cauchy Problem with Confluent Fuchsian Singularities

Mathematics ◽  
2020 ◽  
Vol 8 (6) ◽  
pp. 976
Author(s):  
Stephane Malek
Keyword(s):  
Cauchy Problem ◽  
Laplace Transform ◽  
Asymptotic Expansions ◽  
Initial Value Problem ◽  
Perturbation Parameter ◽  
Laplace Transforms ◽  
Singularly Perturbed ◽  
Initial Value ◽  
Logarithmic Kernel

A nonlinear singularly perturbed Cauchy problem with confluent Fuchsian singularities is examined. This problem involves coefficients with polynomial dependence in time. A similar initial value problem with logarithmic reliance in time has recently been investigated by the author, for which sets of holomorphic inner and outer solutions were built up and expressed as a Laplace transform with logarithmic kernel. Here, a family of holomorphic inner solutions are constructed by means of exponential transseries expansions containing infinitely many Laplace transforms with special kernel. Furthermore, asymptotic expansions of Gevrey type for these solutions relatively to the perturbation parameter are established.

scholarly journals On Solution of First Order Initial Value Problems using Laplace Transform in Fuzzy Environment

2021 ◽  
Vol 7 (2) ◽  
pp. 21-29
Author(s):  
Abubakar Terrang ◽  
◽  
Awumtiya Isa ◽  
Felix Bakare ◽  
Patience Iliya ◽  
...  
Keyword(s):  
Laplace Transform ◽  
Initial Value Problem ◽  
Initial Value Problems ◽  
Initial Value ◽  
Laplace Transform Method ◽  
Transform Method ◽  
First Order ◽  
Fuzzy Environment ◽  
Fuzzy Function

This study aimed at solving a nonhomogeneous linear first order initial value problem by means of Laplace transform method in fuzzy environment. The conditions for a fuzzy function to be H−differentiable and gH−differentiability are well established. Finally, example is constructed to test the applicability or otherwise of the established results.

scholarly journals Investigation of A Fuzzy Problem by the Fuzzy Laplace Transform

2019 ◽  
Vol 4 (2) ◽  
pp. 407-416 ◽  
Author(s):  
Hülya Gültekin Çitil
Keyword(s):  
Laplace Transform ◽  
Fuzzy Number ◽  
Triangular Fuzzy Number ◽  
Fuzzy Arithmetic ◽  
Generalized Differentiability ◽  
Initial Values ◽  
Fuzzy Laplace Transform

AbstractThis paper is on the solutions of a fuzzy problem with triangular fuzzy number initial values by fuzzy Laplace transform. In this paper, the properties of fuzzy Laplace transform, generalized differentiability and fuzzy arithmetic are used. The example is solved in relation to the studied problem. Conclusions are given.

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