An existence result involving both the generalized proportional Riemann-Liouville and Hadamard fractional integral equations through generalized Darbo's fixed point theorem
In this paper, we propose and prove an extension and generalization, which extends and generalizes the Darbo's fixed point theorem (DFPT) in the context of measure of noncompactness (MNC). Thereafter, we use DFPT to investigate the existence of solutions to mixed-type fractional integral equati...
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-06-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022848?viewType=HTML |
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| author | Rahul Nihar Kumar Mahato Sumati Kumari Panda Manar A. Alqudah Thabet Abdeljawad |
| author_facet | Rahul Nihar Kumar Mahato Sumati Kumari Panda Manar A. Alqudah Thabet Abdeljawad |
| author_sort | Rahul |
| collection | DOAJ |
| description | In this paper, we propose and prove an extension and generalization, which extends and generalizes the Darbo's fixed point theorem (DFPT) in the context of measure of noncompactness (MNC). Thereafter, we use DFPT to investigate the existence of solutions to mixed-type fractional integral equations (FIE), which include both the generalized proportional (κ,τ)-Riemann-Liouville and Hadamard fractional integral equations. We've included a suitable example to strengthen the article. |
| first_indexed | 2024-04-13T11:47:34Z |
| format | Article |
| id | doaj.art-c6fe9c7ed49f447fa6e22e7b62d35450 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-13T11:47:34Z |
| publishDate | 2022-06-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-c6fe9c7ed49f447fa6e22e7b62d354502022-12-22T02:48:08ZengAIMS PressAIMS Mathematics2473-69882022-06-0178154841549610.3934/math.2022848An existence result involving both the generalized proportional Riemann-Liouville and Hadamard fractional integral equations through generalized Darbo's fixed point theoremRahul0Nihar Kumar Mahato 1Sumati Kumari Panda2Manar A. Alqudah3Thabet Abdeljawad 41. Department of Mathematics, IIITDM Jabalpur, India1. Department of Mathematics, IIITDM Jabalpur, India2. Department of Mathematics, GMR Institute of Technology, Rajam - 532 127, Andhra Pradesh, India3. Department of Mathematical Sciences, Faculty of Sciences, Princess Nourah Bint Abdulrahman University, P. O. Box 84428, Riyadh 11671, Saudi Arabia4. Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia 5. Department of Medical Research, China Medical University, 40402 Taichung, TaiwanIn this paper, we propose and prove an extension and generalization, which extends and generalizes the Darbo's fixed point theorem (DFPT) in the context of measure of noncompactness (MNC). Thereafter, we use DFPT to investigate the existence of solutions to mixed-type fractional integral equations (FIE), which include both the generalized proportional (κ,τ)-Riemann-Liouville and Hadamard fractional integral equations. We've included a suitable example to strengthen the article.https://www.aimspress.com/article/doi/10.3934/math.2022848?viewType=HTML(κ，τ)-type generalized proportional fractional integral equationgeneralized proportional hadamard fractional (gphf) integral equationmncdfpt |
| spellingShingle | Rahul Nihar Kumar Mahato Sumati Kumari Panda Manar A. Alqudah Thabet Abdeljawad An existence result involving both the generalized proportional Riemann-Liouville and Hadamard fractional integral equations through generalized Darbo's fixed point theorem AIMS Mathematics (κ，τ)-type generalized proportional fractional integral equation generalized proportional hadamard fractional (gphf) integral equation mnc dfpt |
| title | An existence result involving both the generalized proportional Riemann-Liouville and Hadamard fractional integral equations through generalized Darbo's fixed point theorem |
| title_full | An existence result involving both the generalized proportional Riemann-Liouville and Hadamard fractional integral equations through generalized Darbo's fixed point theorem |
| title_fullStr | An existence result involving both the generalized proportional Riemann-Liouville and Hadamard fractional integral equations through generalized Darbo's fixed point theorem |
| title_full_unstemmed | An existence result involving both the generalized proportional Riemann-Liouville and Hadamard fractional integral equations through generalized Darbo's fixed point theorem |
| title_short | An existence result involving both the generalized proportional Riemann-Liouville and Hadamard fractional integral equations through generalized Darbo's fixed point theorem |
| title_sort | existence result involving both the generalized proportional riemann liouville and hadamard fractional integral equations through generalized darbo s fixed point theorem |
| topic | (κ，τ)-type generalized proportional fractional integral equation generalized proportional hadamard fractional (gphf) integral equation mnc dfpt |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022848?viewType=HTML |
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