Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations
The aim of this paper is to study multiplicity results for the solutions of a coupled system of fractional differential equations. The problem under consideration is subjected to nonlocal boundary conditions involving RiemannLiouville integrals and derivatives of fractional order. Necessary and sufficient conditions are established for the existence of at least one and more solutions by using various fixed point theorems of cone type. Moreover sufficient conditions for uniqueness is also discussed by using a concave type operator for the considered problem. Further, the conditions are also provided under which the considered system has no positive solution. The results are demonstrated by providing several examples.
Fractional differential equations, Coupled system, Concave and contractions operator
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Primary Language 
en

Subjects 
Mathematics

Journal Section 
Mathematics 
Authors 
Orcid: 0000000288514844 Author: Kamal SHAH Institution: University of Malakand Country: Pakistan

Dates 
Publication Date
: February 6, 2020

Bibtex 
@research article { hujms552209,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {2651477X},
eissn = {2651477X},
address = {},
publisher = {Hacettepe University},
year = {2020},
volume = {49},
pages = {316  337},
doi = {10.15672/hujms.552209},
title = {Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations},
key = {cite},
author = {SHAH, Kamal}
} 
APA

SHAH, K
.
(2020).
Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations.
Hacettepe Journal of Mathematics and Statistics
, 49 (1) ,
316337 .
DOI: 10.15672/hujms.552209 
MLA

SHAH, K
.
"Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations".
Hacettepe Journal of Mathematics and Statistics 49 (2020
): 316337 <https://dergipark.org.tr/en/pub/hujms/issue/52287/552209>

Chicago

SHAH, K
.
"Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations".
Hacettepe Journal of Mathematics and Statistics 49 (2020
): 316337 
RIS 
TY  JOUR
T1  Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations
AU  Kamal SHAH
Y1  2020
PY  2020
N1
 doi: 10.15672/hujms.552209 DO
 10.15672/hujms.552209 T2  Hacettepe Journal of Mathematics and Statistics
JF  Journal
JO  JOR
SP  316
EP  337
VL  49
IS  1
SN  2651477X2651477X
M3
 doi: 10.15672/hujms.552209 UR
 https://doi.org/10.15672/hujms.552209 Y2  2018
ER 

EndNote 
%0 Hacettepe Journal of Mathematics and Statistics Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations
%A Kamal SHAH
%T Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations
%D 2020
%J Hacettepe Journal of Mathematics and Statistics
%P 2651477X2651477X
%V 49
%N 1
%R doi: 10.15672/hujms.552209 %U 10.15672/hujms.552209 
ISNAD 
SHAH, Kamal
.
"Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations". Hacettepe Journal of Mathematics and Statistics
49
/
1
(February 2020):
316337
. https://doi.org/10.15672/hujms.552209 
AMA 
SHAH K
.
Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations.
Hacettepe Journal of Mathematics and Statistics.
2020;
49(1):
316337.

Vancouver 
SHAH K
.
Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations.
Hacettepe Journal of Mathematics and Statistics.
2020;
49(1):
337316.
