scholarly journals Global existence and stability results for Hadamard--Volterra--Stieltjes integral equations

2019 ◽  
Vol 68 (2) ◽  
pp. 1387-1400
Author(s):  
Said Baghdad ◽  
Mouffak Benchohra
Keyword(s):  
Global Existence ◽  
Integral Equations ◽  
Stieltjes Integral ◽  
Existence And Stability ◽  
Stability Results

scholarly journals Existence and Stability of Solutions for Hadamard-Stieltjes Fractional Integral Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
Saïd Abbas ◽  
Eman Alaidarous ◽  
Mouffak Benchohra ◽  
Juan J. Nieto
Keyword(s):  
Integral Equations ◽  
Fractional Integral ◽  
Existence Result ◽  
Existence Results ◽  
Stieltjes Integral ◽  
Ulam Stability ◽  
Stability Of Solutions ◽  
Existence And Stability ◽  
Stability Results ◽  
Rassias Stability

We give some existence results and Ulam stability results for a class of Hadamard-Stieltjes integral equations. We present two results: the first one is an existence result based on Schauder’s fixed point theorem and the second one is about the generalized Ulam-Hyers-Rassias stability.

scholarly journals Global existence and stability results for mild solutions of random impulsive partial integro-differential equations

Filomat ◽  
2018 ◽  
Vol 32 (2) ◽  
pp. 439-455 ◽  
Author(s):  
A. Vinodkumar ◽  
P. Indhumathi
Keyword(s):  
Fixed Point ◽  
Global Existence ◽  
Differential Equations ◽  
Continuous Dependence ◽  
Fixed Point Theory ◽  
Mild Solutions ◽  
Point Theory ◽  
Banach Contraction ◽  
Existence And Stability ◽  
Stability Results

In this paper, we discuss the global existence, uniqueness, continuous dependence and exponential stability of random impulsive partial integro-differential equations is investigated. The results are obtained by using the Leray-Schauder alternative fixed point theory and Banach Contraction Principle. Finally we give an example to illustrate our abstract results.

Global existence and stability results for partial fractional random differential equations

2015 ◽  
Vol 21 (2) ◽  
Author(s):  
Saïd Abbas ◽  
Wafaa Albarakati ◽  
Mouffak Benchohra ◽  
Eman Hilal
Keyword(s):  
Fixed Point ◽  
Global Existence ◽  
Differential Equations ◽  
Banach Spaces ◽  
Fixed Point Theorems ◽  
Existence Results ◽  
Darboux Problem ◽  
Existence And Stability ◽  
Random Differential Equations ◽  
Stability Results

AbstractWe investigate some existence and stability results for the Darboux problem of partial fractional random differential equations in Banach spaces. Our existence results are based upon some fixed point theorems.

scholarly journals Singular Lebesgue-Stieltjes integral equations

1941 ◽  
Vol 74 (0) ◽  
pp. 197-310 ◽  
Author(s):  
W. J. Trjitzinsky
Keyword(s):  
Integral Equations ◽  
Stieltjes Integral
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