Open AccessExistence and uniqueness theorem for fuzzy fractional integral equations with the fuzzy caputo fractional derivative by using Adomians decomposition method (ADM)
Author(s) -
Mohammadreza Nourizadeh,
Nasser Mikaeilvand,
Hossien Monfared
Publication year - 2019
Publication title -
journal of research in science, engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2693-8464
DOI - 10.24200/jrset.vol3iss02pp1-7
Subject(s) - mathematics , uniqueness , nonlinear system , fractional calculus , mathematical analysis , fuzzy logic , homotopy perturbation method , homotopy , pure mathematics , linguistics , physics , quantum mechanics , philosophy
We present on existence and uniqueness theorem for integral equation of fractional order in volving fuzzy set value mayping of a real variable whose values are normal , convex , upper , semicontinuous , and compactly sufforted fuzzy sets in ir , we establish condition for a class of initial value froblem for impulsive frac tional antegrab inclusion involving the caputo fractional derivative. The Adomians decomposition method and the homotopy Perturbation method are two powerful method which Consider the approximate Solution of a nonlinear Equation as an infinite Series usually Converging to the accurate solution , This paper introduces the homotopy perturbation method for overcoming completely the disadvantage, The solution procedure is very effective and straight forward. That two method are equivalent in solving nonlinear equations.