Solutions to systems of arbitrary-order differential equations in complex domains

Solutions to systems of arbitrary-order differential equations in complex domains

In this article, we study the existence of solutions for a three dimensional fractional system involving seven coefficients. We prove that the system has a strong global solution which is unique in an appropriate function space. We use a method based on analytic technique from the fixed point...

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Bibliographic Details
Main Author: Rabha W. Ibrahim
Format: Article
Language:English
Published: Texas State University 2014-02-01
Series:Electronic Journal of Differential Equations
Subjects:
Analytic function
fractional calculus
Young inequality
fractional differential equation
Cauchy-Schwartz inequality
Online Access:http://ejde.math.txstate.edu/Volumes/2014/46/abstr.html
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spelling doaj-3abda60e66da499b8b6e3579415d8b1c2020-11-24T22:55:20ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-02-01201446,113Solutions to systems of arbitrary-order differential equations in complex domainsRabha W. Ibrahim0 Univ. Malaya, Kuala Lumpur, Malaysia In this article, we study the existence of solutions for a three dimensional fractional system involving seven coefficients. We prove that the system has a strong global solution which is unique in an appropriate function space. We use a method based on analytic technique from the fixed point theory, along with the fractional Duhamel principle.http://ejde.math.txstate.edu/Volumes/2014/46/abstr.htmlAnalytic functionfractional calculusYoung inequalityfractional differential equation Cauchy-Schwartz inequality
collection DOAJ
language English
format Article
sources DOAJ
author Rabha W. Ibrahim
spellingShingle Rabha W. Ibrahim
Solutions to systems of arbitrary-order differential equations in complex domains
Electronic Journal of Differential Equations
Analytic function
fractional calculus
Young inequality
fractional differential equation
Cauchy-Schwartz inequality
author_facet Rabha W. Ibrahim
author_sort Rabha W. Ibrahim
title Solutions to systems of arbitrary-order differential equations in complex domains
title_short Solutions to systems of arbitrary-order differential equations in complex domains
title_full Solutions to systems of arbitrary-order differential equations in complex domains
title_fullStr Solutions to systems of arbitrary-order differential equations in complex domains
title_full_unstemmed Solutions to systems of arbitrary-order differential equations in complex domains
title_sort solutions to systems of arbitrary-order differential equations in complex domains
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2014-02-01
description In this article, we study the existence of solutions for a three dimensional fractional system involving seven coefficients. We prove that the system has a strong global solution which is unique in an appropriate function space. We use a method based on analytic technique from the fixed point theory, along with the fractional Duhamel principle.
topic Analytic function
fractional calculus
Young inequality
fractional differential equation
Cauchy-Schwartz inequality
url http://ejde.math.txstate.edu/Volumes/2014/46/abstr.html
work_keys_str_mv AT rabhawibrahim solutionstosystemsofarbitraryorderdifferentialequationsincomplexdomains
_version_ 1725656900687626240

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