Existence and Stability Results for Impulsive Stochastic Functional Integrodifferential Equation with Poisson Jumps

2019 ◽  
Vol 8 (3) ◽  
pp. 407-417 ◽  
Author(s):  
A. Anguraj ◽  
K. Ravikumar
Keyword(s):  
Integrodifferential Equation ◽  
Poisson Jumps ◽  
Existence And Stability ◽  
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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