Controllability of Fuzzy Solutions for Neutral Impulsive Functional Differential Equations with Nonlocal Conditions

In this paper, the controllability of fuzzy solutions for first order nonlocal impulsive neutral functional differential equations is explored using the Banach fixed point theorem. We utilized the concepts of the fuzzy set theory, functional analysis, and the Hausdorff metric. In the conclusion, an illustration is given to bolster the hypothesis.

[1]  Fuzzy Solutions to Second Order Three Point Boundary Value Problem 1 ∗ , 2020 .

[2]  Abdelfettah Bouri,et al.  Fuzzy Logic and Investment Strategy , 2009 .

[3]  Tayebeh A. Bidgoli,et al.  On the existence and uniqueness of solutions for fuzzy fractional differential equations , 2017 .

[5]  P. Anukokila,et al.  CONTROLLABILITY RESULTS FOR NONLINEAR IMPULSIVE FUZZY NEUTRAL INTEGRODIFFERENTIAL EVOLUTION SYSTEMS , 2017 .

[6]  R. Ramesh,et al.  Existence of Fuzzy Solutions For Nonlocal Impulsive Neutral Functional Differential Equations , 2017 .

[7]  Chenglin Wen,et al.  On fuzzy n-cell numbers and n-dimension fuzzy vectors , 2007, Fuzzy Sets Syst..

[8]  Pagavathigounder Balasubramaniam,et al.  Existence and uniqueness of a fuzzy solution for the nonlinear fuzzy neutral functional differential equation , 2001 .

[9]  M. Rivero,et al.  Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions , 2013 .

[10]  M. Benchohra,et al.  Fuzzy Solutions for Neutral Functional Differential Equations with Nonlocal Conditions , 2004 .

[11]  Vu Ho,et al.  On impulsive fuzzy functional differential equations , 2016 .

[12]  M. Puri,et al.  Fuzzy Random Variables , 1986 .

[13]  Krishnan Balachandran,et al.  Controllability of neutral functional integrodifferential systems in Banach spaces , 2000 .

[14]  Osmo Kaleva Fuzzy differential equations , 1987 .

[15]  Jong Yeoul Park,et al.  EXISTENCE AND UNIQUENESS THEOREM FOR A SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS , 1999 .

[16]  R. Sakthivel,et al.  Controllability of the Second-Order Nonlinear Differential Equations with Non-instantaneous Impulses , 2018 .

[17]  James J. Buckley,et al.  Fuzzy differential equations , 2000, Fuzzy Sets Syst..

[18]  Chunhai Kou,et al.  Existence Results for Second-Order Impulsive Neutral Functional Differential Equations with Nonlocal Conditions , 2009 .

[19]  Vladik Kreinovich,et al.  Fuzzy logic and its applications in medicine , 2001, Int. J. Medical Informatics.

[20]  S. Narayanamoorthy,et al.  Existence Result for the Nonlinear First Order Impulsive Fuzzy Integrodifferential Equations with Nonlocal Condition , 2013 .

[21]  Dimplekumar N. Chalishajar,et al.  Boundary value problems of higher order fractional integro-differential equations involving Gronwall's inequality in Banach spaces , 2013, Miskolc Mathematical Notes.

[22]  Jaydev Dabas,et al.  Approximate controllability of semilinear impulsive functional differential systems with non-local conditions , 2020, IMA J. Math. Control. Inf..

[23]  R. Ramesh,et al.  Controllability for impulsive fuzzy neutral functional integrodifferential equations , 2019, RENEWABLE ENERGY SOURCES AND TECHNOLOGIES.

[24]  Dimplekumar N. Chalishajar,et al.  Controllability of Second Order Impulsive Neutral Functional Differential Inclusions with Infinite Delay , 2012, J. Optim. Theory Appl..

[25]  V. Lakshmikantham,et al.  Theory of Fuzzy Differential Equations and Inclusions , 2003 .

[26]  P. Balasubramaniam,et al.  Existence of fuzzy fractional stochastic differential system with impulses , 2020, Comput. Appl. Math..