scholarly journals Existence and stability results for stochastic functional integro-differential equations with poisson jumps under non-Lipschitz conditions

2020 ◽  
Vol 2020 (-) ◽  
Author(s):  
A. Anguraj ◽  
K. Ravikumar ◽  
K. Ramkumar
Keyword(s):  
Differential Equations ◽  
Poisson Jumps ◽  
Existence And Stability ◽  
Lipschitz Conditions ◽  
Stability Results ◽  
Stochastic Functional

scholarly journals EXISTENCE AND STABILITY RESULTS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH TWO CAPUTO FRACTIONAL DERIVATIVES

2019 ◽  
pp. 341
Author(s):  
Mohamed Houas ◽  
Mohamed Bezziou
Keyword(s):  
Differential Equations ◽  
Fractional Differential Equations ◽  
Fractional Derivatives ◽  
Contraction Mapping ◽  
Nonlocal Boundary ◽  
Stability Of Solutions ◽  
Caputo Fractional Derivatives ◽  
Existence And Stability ◽  
Fractional Differential ◽  
Stability Results

In this paper, we discuss the existence, uniqueness and stability of solutions for a nonlocal boundary value problem of nonlinear fractional differential equations with two Caputo fractional derivatives. By applying the contraction mapping and O’Regan fixed point theorem, the existence results are obtained. We also derive the Ulam-Hyers stability of solutions. Finally, some examples are given to illustrate our results.

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