Journal of Mathematics and Applications
1/39, DOI: 10.7862/rf.2016.1
Some New Existence Results and Stability Concepts for Fractional Partial Random Differential Equations
Saïd Abbas, Mouffak Benchohra, Mohamed Abdalla Darwish
DOI: 10.7862/rf.2016.1
Abstract
In the present paper we provide some existence results and Ulam's type stability concepts for the Darboux problem of partial fractional random differential equations in Banach spaces,by applying the measure of noncompactness and a random fixed point theorem with stochastic domain.
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About this Article
TITLE:
Some New Existence Results and Stability Concepts for Fractional Partial Random Differential Equations
AUTHORS:
Saïd Abbas (1)
Mouffak Benchohra (2)
Mohamed Abdalla Darwish (3)
AUTHORS AFFILIATIONS:
(1) Laboratory of Mathematics, University of Saïda, Algeria
(2) Laboratory of Mathematics, University of Sidi Bell-Abbes, Algeria
(3) Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Saudi Arabia
Department of Mathematics, Faculty of Science, Damanhour University, Egypt
JOURNAL:
Journal of Mathematics and Applications
1/39
KEY WORDS AND PHRASES:
random differential equation, left-sided mixed Riemann-Liouville integral,Caputo fractional order derivative, Banach space, Darboux problem, Ulam stability
FULL TEXT:
http://doi.prz.edu.pl/pl/pdf/jma/44
DOI:
10.7862/rf.2016.1
URL:
http://dx.doi.org/10.7862/rf.2016.1
RECEIVED:
2016-05-29
COPYRIGHT:
Publishing House of Rzeszow University of Technology Powstańców Warszawy 12, 35-959 Rzeszow