Year 2020, Volume 49 , Issue 1, Pages 316 - 337 2020-02-06

Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations

Kamal SHAH [1]


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 Riemann-Liouville 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: 0000-0002-8851-4844
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 = {2651-477X}, eissn = {2651-477X}, 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) , 316-337 . 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 ): 316-337 <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 ): 316-337
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 - 2651-477X-2651-477X 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 2651-477X-2651-477X %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): 316-337 . 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): 316-337.
Vancouver SHAH K . Nonlocal boundary value problems for nonlinear toppled system of fractional differential equations. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 337-316.