Existence and stability for fractional order pantograph equations with nonlocal conditions

Existence and stability for fractional order pantograph equations with nonlocal conditions

In this article we study the a coupled system of fractional pantograph differential equations (FPDEs). Using degree theory, we state necessary conditions for the existence of solutions to a coupled system of fractional partial differential equations with non-local boundary conditions. Also using...

Full description

Bibliographic Details
Main Authors: Israr Ahmad, Juan Jose Nieto, Ghaus ur Rahman, Kamal Shah
Format: Article
Language:English
Published: Texas State University 2020-12-01
Series:Electronic Journal of Differential Equations
Subjects:
coupled system
non-local boundary conditions
stability theory
pantograph equation
Online Access:http://ejde.math.txstate.edu/Volumes/2020/132/abstr.html
id doaj-eb9ae69bf5a04151a52a3e5d0c362382
record_format Article
spelling doaj-eb9ae69bf5a04151a52a3e5d0c3623822021-03-02T15:52:27ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912020-12-012020132,116Existence and stability for fractional order pantograph equations with nonlocal conditionsIsrar Ahmad0Juan Jose Nieto1Ghaus ur Rahman2Kamal Shah3 Univ. of Malakand, Chakdara, Khyber Pakhtunkhwa, Pakistan Univ. de Santiago de Compostela, Spain Univ. of Swat, Khyber Pakhtunkhwa, Pakistan Univ. of Malakand, Chakdara, Khyber Pakhtunkhwa, Pakistan In this article we study the a coupled system of fractional pantograph differential equations (FPDEs). Using degree theory, we state necessary conditions for the existence of solutions to a coupled system of fractional partial differential equations with non-local boundary conditions. Also using tools from non-linear analysis, we establish some stability results. We illustrate our theoretical results with a test problem.http://ejde.math.txstate.edu/Volumes/2020/132/abstr.htmlcoupled systemnon-local boundary conditionsstability theorypantograph equation
collection DOAJ
language English
format Article
sources DOAJ
author Israr Ahmad
Juan Jose Nieto
Ghaus ur Rahman
Kamal Shah
spellingShingle Israr Ahmad
Juan Jose Nieto
Ghaus ur Rahman
Kamal Shah
Existence and stability for fractional order pantograph equations with nonlocal conditions
Electronic Journal of Differential Equations
coupled system
non-local boundary conditions
stability theory
pantograph equation
author_facet Israr Ahmad
Juan Jose Nieto
Ghaus ur Rahman
Kamal Shah
author_sort Israr Ahmad
title Existence and stability for fractional order pantograph equations with nonlocal conditions
title_short Existence and stability for fractional order pantograph equations with nonlocal conditions
title_full Existence and stability for fractional order pantograph equations with nonlocal conditions
title_fullStr Existence and stability for fractional order pantograph equations with nonlocal conditions
title_full_unstemmed Existence and stability for fractional order pantograph equations with nonlocal conditions
title_sort existence and stability for fractional order pantograph equations with nonlocal conditions
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2020-12-01
description In this article we study the a coupled system of fractional pantograph differential equations (FPDEs). Using degree theory, we state necessary conditions for the existence of solutions to a coupled system of fractional partial differential equations with non-local boundary conditions. Also using tools from non-linear analysis, we establish some stability results. We illustrate our theoretical results with a test problem.
topic coupled system
non-local boundary conditions
stability theory
pantograph equation
url http://ejde.math.txstate.edu/Volumes/2020/132/abstr.html
work_keys_str_mv AT israrahmad existenceandstabilityforfractionalorderpantographequationswithnonlocalconditions
AT juanjosenieto existenceandstabilityforfractionalorderpantographequationswithnonlocalconditions
AT ghausurrahman existenceandstabilityforfractionalorderpantographequationswithnonlocalconditions
AT kamalshah existenceandstabilityforfractionalorderpantographequationswithnonlocalconditions
_version_ 1724234594297839616

Similar Items