Existence and uniqueness theorem for a solution of fuzzy Volterra integral equations

1999 ◽  
Vol 105 (3) ◽  
pp. 481-488 ◽  
Author(s):  
Jong Yeoul Park ◽  
Hyo Keun Han
Keyword(s):  
Uniqueness Theorem ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Volterra Integral Equations ◽  
Existence And Uniqueness Theorem

Existence and uniqueness theorem for set-valued Volterra–Hammerstein integral equations

2018 ◽  
Vol 11 (03) ◽  
pp. 1850036 ◽  
Author(s):  
Andrej V. Plotnikov ◽  
Tatyana A. Komleva ◽  
Irina V. Molchanyuk
Keyword(s):  
Uniqueness Theorem ◽  
Integral Equations ◽  
Existence And Uniqueness ◽  
Existence And Uniqueness Theorem ◽  
Hammerstein Integral Equations

In this paper, we consider two types of set-valued Volterra–Hammerstein integral equations and prove the existence and uniqueness theorem.

scholarly journals Fuzzy Conformable Fractional Differential Equations

2021 ◽  
Vol 2021 ◽  
pp. 1-6
Author(s):  
Atimad Harir ◽  
Said Melliani ◽  
Lalla Saadia Chadli
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Uniqueness Theorem ◽  
Fractional Differential Equations ◽  
Existence And Uniqueness ◽  
Existence And Uniqueness Theorem ◽  
Fractional Differential ◽  
Fractional Differentiability ◽  
Derivatives Of ◽  
Fuzzy Fractional Differential Equation

In this study, fuzzy conformable fractional differential equations are investigated. We study conformable fractional differentiability, and we define fractional integrability properties of such functions and give an existence and uniqueness theorem for a solution to a fuzzy fractional differential equation by using the concept of conformable differentiability. This concept is based on the enlargement of the class of differentiable fuzzy mappings; for this, we consider the lateral Hukuhara derivatives of order q ∈ 0,1 .

scholarly journals Fuzzy Volterra integral equations with in-finite delay

2009 ◽  
Vol 40 (1) ◽  
pp. 19-29 ◽  
Author(s):  
P. Prakash ◽  
V. Kalaiselvi
Keyword(s):  
Integral Equations ◽  
Existence And Uniqueness ◽  
Infinite Delay ◽  
Volterra Integral Equations ◽  
Successive Approximations ◽  
Method Of Successive Approximations ◽  
Uniqueness Of Solutions ◽  
Finite Delay

In this paper, we study the existence and uniqueness of solutions for a class of fuzzy Volterra integral equations with infinite delay by using the method of successive approximations.

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