scholarly journals THE EXISTENCE OF SOLUTION AND DEPENDENCE ON FUNCTIONAL PARAMETER FOR BVP OF FRACTIONAL DIFFERENTIAL EQUATION

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Yu Tian ◽  
◽  
Yue Zhang
Keyword(s):  
Differential Equation ◽  
Fractional Differential Equation ◽  
Existence Of Solution ◽  
Functional Parameter ◽  
Fractional Differential

scholarly journals Existence and Continuous Dependence on Initial Data of Solution for Initial Value Problem of Fuzzy Multiterm Fractional Differential Equation

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Huichol Choi ◽  
Kinam Sin ◽  
Sunae Pak ◽  
Sungryol So
Keyword(s):  
Differential Equation ◽  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fractional Differential Equation ◽  
Continuous Dependence ◽  
Contraction Mapping ◽  
Contraction Mapping Principle ◽  
Existence Of Solution ◽  
Initial Value ◽  
Fractional Differential

In this paper, the fuzzy multiterm fractional differential equation involving Caputo-type fuzzy fractional derivative of order 0<α<1 is considered. The uniqueness of solution is established by using the contraction mapping principle and the existence of solution is obtained by Schauder fixed point theorem.

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