Green's functions for boundary value problems of generalized fractional differential equations with pLaplacian
Arjumand SEEMAB
^{
[1]
}
,
Mujeeb Ur REHMAN
^{
[2]
}
We utilize the recently presented generalized fractional derivatives, which are not the same as standard Caputo and RiemannLiouville fractional derivatives, to reformulate some boundary value problems of fractional differential equations. For some classes of generalized fractional differential equations with boundary conditions build up, we find the corresponding Green's functions and establish their properties under suitable assumptions and we also demonstrate the applicability of these properties of the Green's functions to establish some existence results via fixed point theorems.
Generalized fractional derivatives, Positive solutions, pLaplician, Green's function, fixedpoint theorem
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Primary Language 
en

Subjects 
Mathematics

Journal Section 
Mathematics 
Authors 
Orcid: 0000000242198153 Author: Arjumand SEEMAB (Primary Author) Institution: National University of Sciences and Technology Country: Pakistan
Orcid: 0000000325118622 Author: Mujeeb Ur REHMAN Institution: National University of Sciences and Technology Country: Pakistan

Dates 
Publication Date
: August 6, 2020

Bibtex 
@research article { hujms455998,
journal = {Hacettepe Journal of Mathematics and Statistics},
issn = {2651477X},
eissn = {2651477X},
address = {},
publisher = {Hacettepe University},
year = {2020},
volume = {49},
pages = {1355  1372},
doi = {10.15672/hujms.455998},
title = {Green's functions for boundary value problems of generalized fractional differential equations with pLaplacian},
key = {cite},
author = {Seemab, Arjumand and Rehman, Mujeeb Ur}
} 
APA

Seemab, A
, Rehman, M
.
(2020).
Green's functions for boundary value problems of generalized fractional differential equations with pLaplacian
.
Hacettepe Journal of Mathematics and Statistics
, 49 (4) ,
13551372 .
DOI: 10.15672/hujms.455998 
MLA

Seemab, A
, Rehman, M
.
"Green's functions for boundary value problems of generalized fractional differential equations with pLaplacian"
.
Hacettepe Journal of Mathematics and Statistics 49 (2020
): 13551372 <https://dergipark.org.tr/en/pub/hujms/issue/56305/455998>

Chicago

Seemab, A
, Rehman, M
.
"Green's functions for boundary value problems of generalized fractional differential equations with pLaplacian".
Hacettepe Journal of Mathematics and Statistics 49 (2020
): 13551372 
RIS 
TY  JOUR
T1  Green's functions for boundary value problems of generalized fractional differential equations with pLaplacian
AU  Arjumand Seemab
, Mujeeb Ur Rehman
Y1  2020
PY  2020
N1
 doi: 10.15672/hujms.455998 DO
 10.15672/hujms.455998 T2  Hacettepe Journal of Mathematics and Statistics
JF  Journal
JO  JOR
SP  1355
EP  1372
VL  49
IS  4
SN  2651477X2651477X
M3
 doi: 10.15672/hujms.455998 UR
 https://doi.org/10.15672/hujms.455998 Y2  2019
ER 

EndNote 
%0 Hacettepe Journal of Mathematics and Statistics Green's functions for boundary value problems of generalized fractional differential equations with pLaplacian
%A Arjumand Seemab
, Mujeeb Ur Rehman
%T Green's functions for boundary value problems of generalized fractional differential equations with pLaplacian
%D 2020
%J Hacettepe Journal of Mathematics and Statistics
%P 2651477X2651477X
%V 49
%N 4
%R doi: 10.15672/hujms.455998 %U 10.15672/hujms.455998 
ISNAD 
Seemab, Arjumand
, Rehman, Mujeeb Ur
.
"Green's functions for boundary value problems of generalized fractional differential equations with pLaplacian".
Hacettepe Journal of Mathematics and Statistics
49
/
4
(August 2020):
13551372
. https://doi.org/10.15672/hujms.455998 
AMA 
Seemab A
, Rehman M
.
Green's functions for boundary value problems of generalized fractional differential equations with pLaplacian.
Hacettepe Journal of Mathematics and Statistics.
2020;
49(4):
13551372.

Vancouver 
Seemab A
, Rehman M
.
Green's functions for boundary value problems of generalized fractional differential equations with pLaplacian.
Hacettepe Journal of Mathematics and Statistics.
2020;
49(4):
13551372.
