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## Green's functions for boundary value problems of generalized fractional differential equations with p-Laplacian

#### Arjumand SEEMAB [1] , Mujeeb Ur REHMAN [2]

We utilize the recently presented generalized fractional derivatives, which are not the same as standard Caputo and Riemann-Liouville 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, p-Laplician, Green's function, fixed-point theorem
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-4219-8153Author: Arjumand SEEMAB (Primary Author)Institution: National University of Sciences and TechnologyCountry: Pakistan Orcid: 0000-0003-2511-8622Author: Mujeeb Ur REHMAN Institution: National University of Sciences and TechnologyCountry: Pakistan Publication Date : August 6, 2020
 Bibtex @research article { hujms455998, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, 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 p-Laplacian}, 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 p-Laplacian . Hacettepe Journal of Mathematics and Statistics , 49 (4) , 1355-1372 . DOI: 10.15672/hujms.455998 MLA Seemab, A , Rehman, M . "Green's functions for boundary value problems of generalized fractional differential equations with p-Laplacian" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1355-1372 Chicago Seemab, A , Rehman, M . "Green's functions for boundary value problems of generalized fractional differential equations with p-Laplacian". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1355-1372 RIS TY - JOUR T1 - Green's functions for boundary value problems of generalized fractional differential equations with p-Laplacian 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 - 2651-477X-2651-477X 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 p-Laplacian %A Arjumand Seemab , Mujeeb Ur Rehman %T Green's functions for boundary value problems of generalized fractional differential equations with p-Laplacian %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %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 p-Laplacian". Hacettepe Journal of Mathematics and Statistics 49 / 4 (August 2020): 1355-1372 . 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 p-Laplacian. Hacettepe Journal of Mathematics and Statistics. 2020; 49(4): 1355-1372. Vancouver Seemab A , Rehman M . Green's functions for boundary value problems of generalized fractional differential equations with p-Laplacian. Hacettepe Journal of Mathematics and Statistics. 2020; 49(4): 1355-1372.

Authors of the Article
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