Coupled system of a fractional order differential equations with weighted initial conditions

Coupled system of a fractional order differential equations with weighted initial conditions

Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem. The continuous dependence of the uniqueness of the...

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Bibliographic Details
Main Authors: El-Sayed Ahmed M. A., Abd El-Salam Sheren A.
Format: Article
Language:English
Published: De Gruyter 2019-12-01
Series:Open Mathematics
Subjects:
riemann-liouville differential operator
coupled system
weighted cauchy type problem
continuous dependence
34a08
34a12
45d05
Online Access:https://doi.org/10.1515/math-2019-0120
Description
Summary:Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem. The continuous dependence of the uniqueness of the solution is proved.
ISSN:2391-5455

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