On Stability Analysis and Existence of Positive Solutions for a General Non-Linear Fractional Differential Equations
| dc.contributor.author | Kumar, Anoop | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.contributor.author | Khan, Aziz | |
| dc.contributor.author | Devi, Amita | |
| dc.date.accessioned | 2021-01-05T11:38:30Z | |
| dc.date.accessioned | 2025-09-18T15:44:45Z | |
| dc.date.available | 2021-01-05T11:38:30Z | |
| dc.date.available | 2025-09-18T15:44:45Z | |
| dc.date.issued | 2020 | |
| dc.description | Khan, Aziz/0000-0001-6185-9394 | en_US |
| dc.description.abstract | In this article, we deals with the existence and uniqueness of positive solutions of general non-linear fractional differential equations (FDEs) having fractional derivative of different orders involving p-Laplacian operator. Also we investigate the Hyers-Ulam (HU) stability of solutions. For the existence result, we establish the integral form of the FDE by using the Green function and then the existence of a solution is obtained by applying Guo-Krasnoselskii's fixed point theorem. For our purpose, we also check the properties of the Green function. The uniqueness of the result is established by applying the Banach contraction mapping principle. An example is offered to ensure the validity of our results. | en_US |
| dc.description.sponsorship | Council of Scientific and Industrial Research (CSIR)-New Delhi, India [09/1051(0031)/2019-EMR-1]; Department of Mathematics and Statistics, Central University of Punjab, Bathinda, India | en_US |
| dc.description.sponsorship | The first author acknowledges with gratitude the Council of Scientific and Industrial Research (CSIR)-New Delhi, India, for supporting this research work under grant no. 09/1051(0031)/2019-EMR-1 and the Department of Mathematics and Statistics, Central University of Punjab, Bathinda, India. | en_US |
| dc.identifier.citation | Devi, Amita...et al. (20209. "On stability analysis and existence of positive solutions for a general non-linear fractional differential equations", Advances in Difference Equations, Vol. 2020, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-020-02729-3 | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85086597769 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-020-02729-3 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14375 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Hyers-Ulam Stability | en_US |
| dc.subject | P-Laplacian Operator | en_US |
| dc.subject | Caputo Fractional Derivative | en_US |
| dc.subject | Guo-Krasnoselskii'S Fixed Point Theorem | en_US |
| dc.subject | Eu Of Positive Solutions | en_US |
| dc.subject | 26A33 | en_US |
| dc.subject | 34Bb2 | en_US |
| dc.subject | 45Nd5 | en_US |
| dc.title | On Stability Analysis and Existence of Positive Solutions for a General Non-Linear Fractional Differential Equations | en_US |
| dc.title | On stability analysis and existence of positive solutions for a general non-linear fractional differential equations | tr_TR |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Kumar, Anoop/Aax-1617-2021 | |
| gdc.author.wosid | Khan, Aziz/Aag-4626-2021 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Devi, Amita; Kumar, Anoop] Cent Univ Punjab, Sch Basic & Appl Sci, Dept Math & Stat, Bathinda, India; [Baleanu, Dumitru] Cankaya Univ, Fac Art & Sci, Dept Math, Cankaya, Turkey; [Baleanu, Dumitru] Inst Space Sci, Magurele, Romania; [Baleanu, Dumitru] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan; [Khan, Aziz] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia | en_US |
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| gdc.oaire.keywords | EU of positive solutions | |
| gdc.oaire.keywords | p-Laplacian operator | |
| gdc.oaire.keywords | Integro-Differential Equations | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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