On Solution of First Order Initial Value Problems Using Laplace Transform In Fuzzy Environment

Abubakar Umar Terrang; Awumtiya Kumba  Isa; Felix  Bakare; Patience Bwanu Iliya

doi:10.52968/28305366

Abubakar Umar Terrang Department of Mathematics, Federal University of Kashere, Gombe, Nigeria
Awumtiya Kumba Isa Department of Mathematics, Adamawa State College of Education, Hong.
Felix Bakare Department of Mathematics, University of Lagos, Nigeria.
Patience Bwanu Iliya Department of Mathematics, Federal University of Kashere, Gombe, Nigeria

Keywords: H−differentiable, gH−Differentiability, Fuzzy Initial Value Problem

Abstract

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.

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