Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator
In this manuscript, the main objective is to analyze the existence, uniqueness, (EU) and stability of positive solution for a general class of non-linear fractional differential equation (FDE) with fractional differential and fractional integral boundary conditions utilizing $ \phi_p $-Laplacian ope...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-02-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2023514?viewType=HTML |
| _version_ | 1811157952973766656 |
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| author | Kirti Kaushik Anoop Kumar Aziz Khan Thabet Abdeljawad |
| author_facet | Kirti Kaushik Anoop Kumar Aziz Khan Thabet Abdeljawad |
| author_sort | Kirti Kaushik |
| collection | DOAJ |
| description | In this manuscript, the main objective is to analyze the existence, uniqueness, (EU) and stability of positive solution for a general class of non-linear fractional differential equation (FDE) with fractional differential and fractional integral boundary conditions utilizing $ \phi_p $-Laplacian operator. To continue, we will apply Green's function to determine the suggested FDE's equivalent integral form. The Guo-Krasnosel'skii fixed point theorem and the properties of the $ p $-Laplacian operator are utilized to derive the existence results. Hyers-Ulam (HU) stability is additionally evaluated. Further, an application is presented to validate the effectiveness of the result. |
| first_indexed | 2024-04-10T05:16:12Z |
| format | Article |
| id | doaj.art-ae2763fb9f73459db116e808c9069dc0 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-10T05:16:12Z |
| publishDate | 2023-02-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-ae2763fb9f73459db116e808c9069dc02023-03-09T01:29:13ZengAIMS PressAIMS Mathematics2473-69882023-02-0185101601017610.3934/math.2023514Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operatorKirti Kaushik0Anoop Kumar 1Aziz Khan2Thabet Abdeljawad 31. Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151401, India1. Department of Mathematics and Statistics, Central University of Punjab, Bathinda 151401, India2. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia2. Department of Mathematics and Sciences, Prince Sultan University, P. O. Box 66833, Riyadh 11586, Saudi Arabia 3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan 4. Department of Mathematics, Kyung Hee University, Kyungheedae-ro 26, Dongdaemun-gu, Seoul 02447, KoreaIn this manuscript, the main objective is to analyze the existence, uniqueness, (EU) and stability of positive solution for a general class of non-linear fractional differential equation (FDE) with fractional differential and fractional integral boundary conditions utilizing $ \phi_p $-Laplacian operator. To continue, we will apply Green's function to determine the suggested FDE's equivalent integral form. The Guo-Krasnosel'skii fixed point theorem and the properties of the $ p $-Laplacian operator are utilized to derive the existence results. Hyers-Ulam (HU) stability is additionally evaluated. Further, an application is presented to validate the effectiveness of the result.https://www.aimspress.com/article/doi/10.3934/math.2023514?viewType=HTMLriemann-liouville integralcaputo's derivativegreen's functionfixed point theoremshyres-ulam stability |
| spellingShingle | Kirti Kaushik Anoop Kumar Aziz Khan Thabet Abdeljawad Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator AIMS Mathematics riemann-liouville integral caputo's derivative green's function fixed point theorems hyres-ulam stability |
| title | Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator |
| title_full | Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator |
| title_fullStr | Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator |
| title_full_unstemmed | Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator |
| title_short | Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator |
| title_sort | existence of solutions by fixed point theorem of general delay fractional differential equation with p laplacian operator |
| topic | riemann-liouville integral caputo's derivative green's function fixed point theorems hyres-ulam stability |
| url | https://www.aimspress.com/article/doi/10.3934/math.2023514?viewType=HTML |
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